AP 6th Class Maths Bits with Answers in English and Telugu

Andhra Pradesh SCERT AP State Board Syllabus 6th Class Maths Important Bits with Answers in English and Telugu Medium are part of AP Board 6th Class Textbook Solutions.

Students can also read AP Board 6th Class Maths Solutions for board exams.

AP State Syllabus 6th Class Maths Important Bits with Answers in English and Telugu

6th Class Maths Bits in English Medium

6th Class Maths Bits in Telugu Medium

AP State Syllabus Bits with Answers

AP 8th Class Maths Bits with Answers in English and Telugu

Andhra Pradesh SCERT AP State Board Syllabus 8th Class Maths Important Bits with Answers in English and Telugu Medium are part of AP Board 8th Class Textbook Solutions.

Students can also read AP Board 8th Class Maths Solutions for board exams.

AP State Syllabus 8th Class Maths Important Bits with Answers in English and Telugu

8th Class Maths Bits in English Medium

8th Class Maths Bits in Telugu Medium

AP State Syllabus Bits with Answers

AP 7th Class Maths Bits 1st Lesson పూర్ణ సంఖ్యలు

Practice the AP 7th Class Maths Bits with Answers 1st Lesson పూర్ణ సంఖ్యలు on a regular basis so that you can attempt exams with utmost confidence.

AP Board 7th Class Maths Bits 1st Lesson పూర్ణ సంఖ్యలు

క్రింది వానికి సరైన సమాధానాలను ఎన్నుకొనుము.

ప్రశ్న1.
పూర్ణసంఖ్యా సమితిని సూచించు అక్షరం _______
(A) N
(B) Z
(C) W
(D) Q
జవాబు :
(B) Z

ప్రశ్న2.
– 15 + 5 + 10 = _______
(A) 0
(B) 30
(C) – 30
(D) 20
జవాబు :
(A) 0

ప్రశ్న3.
AP 7th Class Maths Bits 1st Lesson పూర్ణ సంఖ్యలు 1
సంఖ్యారేఖపై X సూచించు పూర్ణ సంఖ్య
(A) 3
(B) 4
(C) -4
(D) -3
జవాబు :
(D) -3

AP 7th Class Maths Bits 1st Lesson పూర్ణ సంఖ్యలు

ప్రశ్న4.
5 × (- 10) = 0
(A) 50
(B) – 2
(C) – 50
(D) 2
జవాబు :
(C) – 50

ప్రశ్న5.
(-7) × (-5) = _______
(A) 35
(B) – 35
(C) – 12
(D) 12
జవాబు :
(A) 35
ప్రశ్న6.
క్రింది వానిలో సరైనది
(A) 9 × (-4) = – 36
(B) (-5) – (-4) = -1
(C) (- 10) + 2 = -5
(D) పైవి అన్నీ
జవాబు :
(D) పైవి అన్నీ

ప్రశ్న7.
ప్రవచనం P : ధన పూర్ణ సంఖ్యను, రుణ పూర్ణ సంఖ్యతో భాగించిన భాగఫలం ధనాత్మకం.
ప్రవచనం Q: రుణ పూర్ణసంఖ్యను, రుణపూర్ణ సంఖ్యతో భాగించిన భాగఫలం ధనాత్మకం.
(A) P – సత్యం, Q – అసత్యం
(B) P – అసత్యం, Q – సత్యం
(C) P మరియు Q లు రెండూ సత్యం
(D) P మరియు Qలు రెండూ అసత్యం
జవాబు :
(B) P – అసత్యం, Q – సత్యం

ప్రశ్న8.
(-50) + (- 10) =
(A) – 5
(B) 5
(C) 500
(D) – 500
జవాబు :
(B) 5

ప్రశ్న9.
సంకలన తత్సమాంశము క్రింది ఏ సంఖ్యా సమితికి చెందదు ?
(A) Z
(B) W
(C) Q
(D) N
జవాబు :
(D) N

ప్రశ్న10.
-8 యొక్క సంకలన విలోమము.
(A) 0
(B) 1
(C) 8
(D) [latex]\frac{-1}{8}[/latex]
జవాబు :
(C) 8

ప్రశ్న11.
(i) 3 యొక్క గుణకార విలోమము – 3.
(ii) a మరియు b లు రెండు పూర్ణ సంఖ్యలైన a + b = b + a.
(iii) 8× 1 = 1 x 8 = 8 అనునది గుణకార తత్సమ ధర్మము.
(iv) a మరియు bలు ఏవేని రెండు పూర్ణ సంఖ్యలైన a – b = b – a. పై వానిలో ఏవి సత్యం ?
(A) (i), (iii)
(B) (ii), (iii)
(C) (iii), (iv)
(D) (i), (iv)
జవాబు :
(B) (ii), (iii)

ప్రశ్న12.
15 + 5 – 10 x 2 + 8 =
(A) -9
(B) 9
(C) – 25
(D) 25
జవాబు :
(A) -9

ప్రశ్న13.
5 × (-4) + (- 20) + (- 10) =
(A) – 4
(B) 12
(C) – 18
(D) – 12
జవాబు :
(C) – 18

AP 7th Class Maths Bits 1st Lesson పూర్ణ సంఖ్యలు

ప్రశ్న14.
7 × 6 – 50 – 7 =
(A) 1 .
(B) – 1
(C) – 15
(D) 15
జవాబు :
(B) – 1

ప్రశ్న15.
P< 10 అయినపుడు |P – 10| =
(A) 10
B ) P – 10
(C) P + 10
(D) పైవి అన్నీ
జవాబు :
(A) 10

ప్రశ్న16.
x + y = – 5 ను సంతృప్తిపరిచే సంఖ్యల జత (x, y) =
(A) (20, – 4)
(B) (- 20, 4)
(C) A మరియు B
(D) (- 20, – 4)
జవాబు :
(A) (20, – 4)

ప్రశ్న17.
క్రింది వానిని జతపరుచుము.

i) 4 × (-5) a) 20
ii) 15 – (-5) b) 10
iii) (-50) + -(-5) c) 5
iv) (- 15) + 20 d) 20

(A) i) d, ii) c, iii) a, iv) b
(B) i) c, ii) b, iii) a, iv) d
(C) i) d, ii) a, iii) b, iv) c
(D) i) a, ii) d, iii) b, iv) c
జవాబు :
(C) i) d, ii) a, iii) b, iv) c

ప్రశ్న18.

i) x > 10 అయిన |x – 10| a) 10 x
ii) x < 10 అయిన |x – 10| b) 0
iii) x = 10 అయిన |x – 10 | c) x  10

(A) i) a, ii) b, iii) c
(B) i) c, ii) a, iii) b
(C) i) c, ii) b, iii) a
(D) i) a, ii) c, iii) b
జవాబు :
(B) i) c, ii) a, iii) b

ప్రశ్న19.

i) a,b ∈ Z అయిన a + b ∈ z  a) పూర్ణ సంఖ్యల సంకలన విలోమ న్యాయం
ii) a,b ∈ Z అయిన a × b = b × a b) పూర్ణ సంఖ్యల గుణకార వినిమయ న్యాయం
iii) a,b, c ∈ Z  అయిన (a + b) + c = a + (b+c) c) పూర్ణ సంఖ్యల సంకలన సహచర న్యాయం
iv) a ∈ Z అయిన a + (-a) + a = 0 d) పూర్ణ సంఖ్యల సంకలన సంవృత ధర్మం

(A) i) a, ii) d, iii) c, iv) b
(B) i) d, ii) c, iii) a, iv) b
(C) i) a, ii) c, iii) d, iv) b.
(D) i) d, ii) b, iii) c, iv) a
జవాబు :
(D) i) d, ii) b, iii) c, iv) a

ప్రశ్న20.

i) a యొక్క సంకలన విలోమము  a) 0
ii) a యొక్క సంకలన తత్సమాంశము b) 1
iii) a యొక్క గుణకార తత్సమాంశము c) -a
iv) a యొక్క గుణకార విలోమము d) [latex]\frac{1}{a}[/latex]

(A) i) c, ii) a, iii) b, iv) d
(B) i) c, ii) b, iii) a, iv) d
(C) i) a, ii) b, iii) c, iv) d
(D) i) a, ii) d, iii) b, iv) c
జవాబు :
(A) i) c, ii) a, iii) b, iv) d

AP 7th Class Maths Bits 1st Lesson పూర్ణ సంఖ్యలు

ప్రశ్న21.
ప్రవచనం X : a, b మరియు c లు పూర్ణసంఖ్యలైన a × (b + c) = a × b + a × c అనునది పూర్ణసంఖ్యల సంకలనంపై గుణకార విభాగ న్యాయము. ప్రవచనం Y : a, b మరియు c లు పూర్ణసంఖ్యలైన a × (b × c) = (a × b) × c అనునది పూర్ణసంఖ్యల గుణకార సహచర న్యాయము.
(A) X – సత్యం, Y – అసత్యం
(B) X – అసత్యం, Y – సత్యం
(C) X మరియు Y లు రెండూ అసత్యం
(D) X మరియు Y లు రెండూ సత్యం
జవాబు :
(D) X మరియు Y లు రెండూ సత్యం

క్రిందివానిలో సత్యం లేదా అసత్యం అయిన వానిని గుర్తించండి.

ప్రశ్న1.
సంకలన తత్సమాంశము 1.
జవాబు :
అసత్యం

ప్రశ్న2.
గుణకార తత్సమాంశము 0.
జవాబు :
అసత్యం

ప్రశ్న3.
| – 7| = |7|
జవాబు :
సత్యం

ప్రశ్న4.
2 × (-5) > 2 × 5 2
జవాబు :
అసత్యం

ప్రశ్న5.
(-80) + 10 = -8
జవాబు :
సత్యం

ప్రశ్న6.
(- 15) + 10 = 10 + (- 15)
జవాబు :
సత్యం

ప్రశ్న7.
x < 0 అయిన |x| = -x
జవాబు :
సత్యం

ప్రశ్న8.
x = 0 అయిన |x| = 1
జవాబు :
అసత్యం

ప్రశ్న9.
a, b లు పూర్ణ సంఖ్యలైన a – b = b – a
జవాబు :
అసత్యం

AP 7th Class Maths Bits 1st Lesson పూర్ణ సంఖ్యలు

ప్రశ్న10.
5 యొక్క గుణకార విలోమము
జవాబు :
అసత్యం

ప్రశ్న11.
ఒక సంఖ్య యొక్క పరమ మూల్యం ఎల్లప్పుడు ధనాత్మకం లేదా సున్న.
జవాబు :
సత్యం

క్రింది ఖాళీలను పూరింపుము.

ప్రశ్న1.
(-6) × 7 = _______
జవాబు :
-42

ప్రశ్న2.
(-6) + 3 = _______
జవాబు :
-2

ప్రశ్న3.
గుణకార తత్సమాంశము = _______
జవాబు :
1

ప్రశ్న4.
సంకలన తత్సమాంశము = _______
జవాబు :
0

ప్రశ్న5.
2 × (- 3) = (-3) × _______
జవాబు :
2

ప్రశ్న6.
7 × 6 – 8 – 4 = _______
జవాబు :
38

ప్రశ్న7.
|- 108| =_______
జవాబు :
108

ప్రశ్న8.
m > 5 అయిన |m – 5| = _______
జవాబు :
m – 5

ప్రశ్న9.
(-7) × _______ = 21
జవాబు :
– 3

ప్రశ్న10.
{x} = 10 అయిన x = 10 లేదా x= _______
జవాబు :
– 10

క్రింది _______లలో సరైన గుర్తు (>, <, = , + -, ×, +) లను అమర్చి, ఇచ్చిన వాక్యాలను ఈ సత్యవాక్యాలుగా మార్చండి.

ప్రశ్న1.
5 × (-2) _______ -10
జవాబు :
=

ప్రశ్న2.
3 × 5 _______ 3 × (-5)
జవాబు :
>

ప్రశ్న3.
(-25) _______ 25 = 0
జవాబు :
+

AP 7th Class Maths Bits 1st Lesson పూర్ణ సంఖ్యలు

ప్రశ్న4.
10 _______ -2) = -5
జవాబు :
÷

ప్రశ్న5.
(-15) _______ 10 × 2 = 5
జవాబు :
+

ప్రశ్న6.
3 _______ (-2) + 6 = 0
జవాబు :
×

ప్రశ్న7.
(- 3) × (-6) _______ (-4) × 3
జవాబు :
>

ప్రశ్న8.
5 _______ o = 0 _______ 5 = 5
జవాబు :
+, +

ప్రశ్న9.
15 _______ (-2) = 17
జవాబు :
–

ప్రశ్న10.
10 × 5 – 40 _______ 9 = 1
జవాబు :
+

AP 7th Class Maths Bits 1st Lesson Integers

Practice the AP 7th Class Maths Bits with Answers 1st Lesson Integers on a regular basis so that you can attempt exams with utmost confidence.

AP Board 7th Class Maths Bits 1st Lesson Integers

Multiple Choice Questions :

Question 1.
The collection of all whole numbers and negative numbers is called _______
(A) Whole numbers
(B) Integers
(C) Natural numbers
(D) All of the above
Answer:
(B) Integers

Question 2.
Positive integers are represented by _______
(A) N
(B) Z
(C) Z+
(D) Z
Answer:
(C) Z+

Question 3.
Negative number can be write on the number line at _______ side of zero.
(A) left
(B) right
(C) middle
(D) all of the above
Answer:
(A) left

Question 4.
To add a positive integer, we move towards _______
(A) Left
(B) right
(C) middle
(D) all of the above
Answer:
(B) right

Question 5.
The integer that represents the statement Aditya deposited ₹ 4000 in his savings accout _______
(A) -4000
(B) +4000
(C) A and B
(D) None of these
Answer:
(B) +4000

Question 6.
Which is the smallest of the numbers – 15, -2, -6, -3, -4?
(A) -2
(B) -3
(C) -15
(D) -4
Answer:
(C) -15

AP 7th Class Maths Bits 1st Lesson Integers

Question 7.
5 – (-7) = _______
(A) 2
(B) 35
(C) – 12
(D) 12
Answer:
(D) 12

Question 8.
The value of 4 – (- 6) + (- 8) is _______
(A) 2
(B) – 10
(C) 18
(D) – 2
Answer:
(A) 2

Question 9.
Product of two negative integers is _______
(A) Positive
(B) Negative
(C) Zero
(D) None
Answer:
(A) Positive

Question 10.
Which is the nearest negative integer to zero ?
(A) + 2
(B) – 5
(C)-4
(D) – 2
Answer:
(D) – 2

Question 11.
The idea of the product of negative numbers was first considered by
(A) Bhaskara Charya
(B) Brahmagupta
(C) Aryabhatta
(D) Aditya
Answer:
(B) Brahmagupta

Question 12.
Integer greater than – 231 _______
(A) – 540
(B) – 430
(C) – 235
(D) – 200
Answer:
(D) – 200

Question 13.
Integer which is neither positive nor negative is _______
(A) 1
(B) 2
(C) 0
(D) – 2
Answer:
(C) 0

Question 14.
If we represent all the integer on a vertical line, then the value of the number from top to bottom is _______
(A) Increases
(B) No change
(C) Decreases
(D) None
Answer:
(C) Decreases

Question 15.
A submarine is in the sea at a depth of 1800 metres, sign to be used for the statement is _______
(A) – 1800
(B) + 1800
(C) A and B
(D) None
Answer:
(A) – 1800

Question 16.
Additive inverse of (- a) is _______
(A) – a
(B) [latex]\frac{1}{a}[/latex]
(C) a
(D) -[latex]\frac{1}{a}[/latex]
Answer:
(C) a

Question 17.
If we remove all the negative numbers from the set of integers, then it will become _______
(A) N
(B) W
(C) Z
(D) Z+
Answer:
(B) W

Question 18.
Additive inverse of 78 is _______
(A) 78
(B) – 78
(C) [latex]\frac{1}{78}[/latex]
(D) ± 78
Answer:
(B) – 78

AP 7th Class Maths Bits 1st Lesson Integers

Question 19.
Subtract 30 from – 80.
(A) -110
(B) – 50
(C) -[latex]\frac{8}{3}[/latex]
(D) – 2400
Answer:
(A) -110

Question 20.
Ascending order of -4, 2, -6, 0, 5, -1, -3 _______
(A) -6, -4,-3, – 1, 0, 2, 5
(B) – 6, – 4, – 3, 2, – 1, 0, 5
(C) -6, 5, -4, -3, 2,-1,0
(D) 0, – 1, 2, -3, -4, 5, -6
Answer:
(A) -6, -4,-3, – 1, 0, 2, 5

Question 21.
Z-{0, 1, 2, 3, ……….} = _______
(A) N
(B) W
(C) -1, -2, -3, ……..
(D) 1, 2, 3, 4, ……..
Answer:
(C) -1, -2, -3, ……..

Question 22.
The symbol for belongs to is _______
(A) Φ
(B) ∃
(C) ∈
(D) ∀
Answer:
(C) ∈

Question 23.
Multiplicative identity is _______
(A) 0
(B) – 1
(C) 1
(D) 2
Answer:
(C) 1

Question 24.
a + 0 = 0 + a = _______
(A) a
(B) 0
(C) 2a
(D) -a
Answer:
(A) a

Question 25.
For any integers a, b and c,
a × (b + c) = _______
(A) (a × c) + (c × b)
(B) (a × b) + (b × a)
(C) (b × c) + (a × c)
(D) (a × b) + (a × c)
Answer:
(D) (a × b) + (a × c)

Question 26.
(- 1) × (- 1) × (-1) = _______
(A) – 3
(B) – 1
(C) -2
(D) 1
Answer:
(A) – 3

Question 27.
If x < 0, then |x| = _______
(A) x
(B) 0
(C) – x
(D) None
Answer:
(C) – x

AP 7th Class Maths Bits 1st Lesson Integers

Question 28.
|-30| = _______
(A) -30
(B) 30
(C) 0
(D) None
Answer:
(B) 30

Reasoning Questions :

Question 1.
2, 3, 5, 7, 11, _______
(A) 13
(B) 15
(C) 17
(D)19
Answer:
(A) 13

Question 2.
5, 7, 10, 15, 22, _______
(A) 31
(B) 37
(C) 33
(D) 43
Answer:
(C) 33

Question 3.
4, 8, 12, 16, 20, _______
(A) 22
(B) 24
(C) 26
(D) 28
Answer:
(B) 24

Question 4.
8, 11, 15, 20, 26, _______
(A) 30
(B)31
(C)32
(D)33
Answer:
(D)33

Question 5.
6, 8, 12, 18, 26, _______
(A)32
(B) 34
(C) 36
(D) 38
Answer:
(C) 36

Question 6.
10, 13, 18, 25, 36 _______
(A) 49
(B) 45
(C) 47
(D) 43
Answer:
(A) 49

Question 7.
10, 7, 17, 24, 41, _______
(A) 55
(B) 65
(C) 50
(D) 60
Answer:
(B) 65

Question 8.
43, 47, 59, 61, 67, _______
(A) 69
(B) 65
(C) 73
(D) 71
Answer:
(D) 71

Question 9.
36, 37, 39, 42, 46, _______
(A) 50
(B) 53
(C) 51
(D) 52
Answer:
(C) 51

AP 7th Class Maths Bits 1st Lesson Integers

Question 10.
150, 157, 165, 174, 184, _______
(A) 185
(B) 188
(C) 191
(D) 195
Answer:
(D) 195

Fill in the blanks :

Question 1.
The set of integers are represented by _______
Answer:
Z

Question 2.
Positive number can be write on the number line-on the _______ side of zero.
Answer:
Right

Question 3.
Negative integers are represented by _______
Answer:
z–

Question 4.
To add a negative integer, we move on the number line towards _______
Answer:
left side

Question 5.
The integer can represent statement temperature of Glacier is 16° below 0°C is _______
Answer:
– 16°C

Question 6.
Biggest integer of tlje numbers – 6, 0, – 19, – 30, -2,-4 ?
Answer:
0

Question 7.
(- 8) + .(- 3) + (6)
Answer:
-5

Question 8.
A loss of ₹ 600 is represented as _______
Answer:
– ₹ 600

AP 7th Class Maths Bits 1st Lesson Integers

Question 9.
(- 4) × (- 7) = _______
Answer:
+ 28

Question 10.
The book “Brahmarsphuta Siddantham” was written by _______
Answer:
Brahmaguptha

Question 11.
1 inch = _______ cm.
Answer:
2.54

Question 12.
If the product of two integers is zero, then _______
Answer:
One of the two integers is zero.

Question 13.
Sum of two positive integers is _______
Answer:
Positive

Question 14.
Every integer can Se represented on a number line _______ or _______
Answer:
horizontally (or) vertically

Question 15.
An aeroplane is flying at a height of 3000 metres. Sign to be used for the statement is _______
Answer:
+ 3000 m

Question 16.
Additive inverse of (+ x) is _______
Answer:
– x

Question 17.
Additive inverse (-120) is _______
Answer:
+ 120

Question 18.
Subtract – 60 from + 90 is _______
Answer:
+ 150

Question 19.
Descending order of (-11), (-1), (-111), (-1111) is _______
Answer:
(-1), (-11), (-111), (-1111)

Question 20.
Z-{-1, -2, -3, -4,…………} = _______
Answer:
W= {0, 1, 2, 3, …………..}

Question 21.
Additive identity is _______
Answer:
zero

Question 22.
a × 1 = 1 × a = _______
Answer:
a

Question 23.
(- 1) × (- 1) × (- 1) × (- 1) = _______
Answer:
1

Question 24.
Expand BODMAS _______
Answer:
B – Bracket,
O – Of,
D – Division,
M – Multiplication,
A – Addition,
S – Subtraction

Question 25.
6 × 6 – 6 ÷ 6 + 6 = _______
Answer:
41

AP 7th Class Maths Bits 1st Lesson Integers

Question 26.
24 + 150 ÷ 3 {24 -(16- 5-3)} = _______
Answer:
29

Match the following :

Question 1.

1. Integers (A) Z+
2. Whole numbers (B) N
3. Positive integers (C) W
4. Natural numbers (D) Z–
5. Negative integers (E) Z

Answer:

1. Integers (E) Z
2. Whole numbers (C) W
3. Positive integers (A) Z+
4. Natural numbers (B) N
5. Negative integers (D) Z–

Question 2.

1. a × (b + c) = (A) a
2. (a × b) × c = (B) (a + b) + c
3. a + 0 = 0 + a = (C) a × (b × c)
4. a × 0 = 0 × a = (D) (a × b) + (a × c)
5. a + (b + c) = (E) 0

Answer:

1. a × (b + c) = (D) (a × b) + (a × c)
2. (a × b) × c = (C) a × (b × c)
3. a + 0 = 0 + a = (A) a
4. a × 0 = 0 × a = (E) 0
5. a + (b + c) = (B) (a + b) + c

AP 7th Class Maths Bits 1st Lesson Integers

Question 3.

1. a, b ∈ Z, then a × b ∈ Z (A) Distributive property
2. If a, b ∈ Z, then a + b = b + a (B) Additive identity property
3. If a, b ∈ Z, then a × (b + c) = (a × b) + (a × c) (C) Additive inverse property
4. If a ∈ Z, then a + 0 = 0 + a = a (D) Closure property
5. If a ∈ Z, then a + (-a) = (-a) + a = o (E) Commutative property

Answer:

1. a, b ∈ Z, then a × b ∈ Z (D) Closure property
2. If a, b ∈ Z, then a + b = b + a (E) Commutative property
3. If a, b ∈ Z, then a × (b + c) = (a × b) + (a × c) (A) Distributive property
4. If a ∈ Z, then a + 0 = 0 + a = a (B) Additive identity property
5. If a ∈ Z, then a + (-a) = (-a) + a = o (C) Additive inverse property

Question 4.

1. If x > 0, then | x | = (A) 0
2. If x < 0, then |x| = (B) 20
3. If x = 0, then |x| = (C) x
4. |-20| = (D) 8
5. 181 = (E) x

Answer:

1. If x > 0, then | x | = (E) x
2. If x < 0, then |x| = (C) -x
3. If x = 0, then |x| = (A) 0
4. |-20| = (B) 20
5. 181 = (D) 8

AP 7th Class Maths Bits with Answers in English and Telugu

Andhra Pradesh SCERT AP State Board Syllabus 7th Class Maths Important Bits with Answers in English and Telugu Medium are part of AP Board 7th Class Textbook Solutions.

Students can also read AP Board 7th Class Maths Solutions for board exams.

AP State Syllabus 7th Class Maths Important Bits with Answers in English and Telugu

7th Class Maths Bits in English Medium

7th Class Maths Bits in Telugu Medium

7th Class Science Bits in English Medium (Old Syllabus)

AP State Syllabus Bits with Answers

AP Board 7th Class Science Important Questions and Answers English & Telugu Medium

Andhra Pradesh SCERT AP State Board Syllabus 7th Class Science Chapter Wise Important Questions and Answers in English Medium and Telugu Medium are part of AP Board 7th Class Textbook Solutions.

Students can also read AP Board 7th Class Science Solutions for exam preparation.

AP State Syllabus 7th Class Science Important Questions and Answers English & Telugu Medium

AP 7th Class Science Important Questions and Answers in English Medium

7th Class Science Important Questions Sem 1

AP 7th Class Science Important Questions Sem 2

AP 7th Class Science Chapter Wise Important Questions in Telugu Medium

7th Class Science Important Questions Sem 1

AP 7th Class Science Important Questions Sem 2

AP 7th Class Science Important Questions and Answers in English Medium (Old Syllabus)

AP Board 10th Class Maths Solutions Chapter 1 వాస్తవ సంఖ్యలు Ex 1.1

SCERT AP 10th Class Maths Textbook Solutions Chapter 1 పూర్ణ సంఖ్యలు Ex 1.1 Textbook Exercise Questions and Answers.

AP State Syllabus 10th Class Maths Solutions 1st Lesson వాస్తవ సంఖ్యలు Exercise 1.1

ప్రశ్న1.
యూక్లిడ్ భాగహార శేష విధి ఆధారంగా క్రింది జతల గ.సా.భాను కనుగొనండి.

(i) 900 మరియు 270
సాధన:
a = 900, b = 270 వీటిని .
a = bq + r రూపంలో వ్రాయగా
900 = 270(3) + 90;
270 = 90(3) + 0
కావున 900, 270ల గ.సా.భా = 90

రెండవ పద్ధతి :

AP State Syllabus 10th Class Maths Solutions 1st Lesson వాస్తవ సంఖ్యలు Exercise 1.1 1

∴ గ.సా.భా = 90.

AP Board 10th Class Maths Solutions 1st Lesson వాస్తవ సంఖ్యలు Exercise 1.1

(ii) 196 మరియు 38220
సాధన:
a = 38220; b = 196 అనుకొనుము
a = bq + r రూపంలో వ్రాయగా,
38220 = 196(195) + 0
కావున (∴ శేషం = 0) 196, 38220 ల గ.సా.భా = 196.

రెండవ పద్ధతి:

AP State Syllabus 10th Class Maths Solutions 1st Lesson వాస్తవ సంఖ్యలు Exercise 1.1 2

∴ 196, 38220 ల గ.సా.భా = 196

(iii) 1651 మరియు 2032
సాధన:
1651 మరియు 2032 ల గ.సా.భా
a = 2032, మరియు b = 1651 వీటిని
a = bq + r రూపంలో, వ్రాయగా
2032 = 1651(1) + 381
1651 = 381(4) + 127
381 = 127(3) + 0
∴ 1651 మరియు 2032 ల గ.సా.భా = 127

రెండవ పద్ధతి :

AP State Syllabus 10th Class Maths Solutions 1st Lesson వాస్తవ సంఖ్యలు Exercise 1.1 2

∴ 1651, 2032 ల గ.సా.భా = 127

AP Board 10th Class Maths Solutions 1st Lesson వాస్తవ సంఖ్యలు Exercise 1.1

ప్రశ్న2.
q ఏదైనా ఒక పూర్ణ సంఖ్య అయినప్పుడు ప్రతి ధన బేసి పూర్ణ సంఖ్య 6q+ 1 లేదా 6q + 3 లేదా 6q+ 5 రూపంలో ఉంటుందని చూపుము.
సాధన:
a ఏదైనా ఒక ధన బేసి పూర్ణ సంఖ్య అనుకుందాం. భాగాహార శేష విధిని a మరియు b = 6 పై అనువర్తింపగా 0 ≤ r < 6, కావున శేషం 0 లేదా 1 లేదా 2 లేదా 3 లేదా 4 లేదా 5 అగును. వీటి ఆధారంగా ణ విలువలు వరుసగా
a = 6q + 0 లేదా
= 6q + 1 లేదా
= 6q + 2 లేదా
= 6q + 3 లేదా
= 6q + 4 లేదా
= 6q + 5 అగును.
పై వాటిలో a = 6q+ 0, a = 6q + 2, a = 6q + 4 లు 2 చే నిశ్శేషంగా భాగింపబడును. కావున అవి సరి సంఖ్యలు.
కాగా మిగిలినవి a = 6q + 1
a = 6q+ 3
a = 6q + 5 లు 2 చే నిశ్శేషంగా భాగింపబడవు. కావున అవి సరిసంఖ్యలు కాలేవు. అందుచే అవి ఖచ్చితంగా ధన బేసి పూర్ణసంఖ్యలు అవుతాయి.

AP Board 10th Class Maths Solutions 1st Lesson వాస్తవ సంఖ్యలు Exercise 1.1

ప్రశ్న3.
ఏదైనా ధన పూర్ణసంఖ్య యొక్క వర్గం 3p లేదా 3p + 1 రూపంలో ఉంటుందని యూక్లిడ్ భాగహార శేష విధి ఆధారంగా చూపుము.
సాధన:
‘a’ అనునది ఏదైనా ధన పూర్ణ సంఖ్య అనుకొనుము. మరియు b = 3 అనుకుందాం.
యూక్లిడ్ భాగహార శేష న్యాయం ప్రకారం a = bq + r ఇచ్చట b = 3 కావున r = 0 లేదా 1 లేదా 2 అగును.
∴ a = 3q + 0 లేదా a = 3q + 1 లేదా a = 3q + 2
∴ a = 3q అయిన a2 = 9q2 = 3(3q7)
= 32 రూపం a = 3q + 1 అయిన
a2 = (3q + 1)2 = 9q2 + 6q + 1
= 3[3q2 + 2q] + 1
= 3p+ 1 రూపం
a = 3q + 2 అయిన a2
= (3q + 2)2
= 9q2 + 12q + 4
= 3[3q2 + 4q + 1] + 1
= 3p + 1 రూపం
కావున ఒక ధన పూర్ణ సంఖ్య యొక్క వర్గం 3p లేదా 3p+ 1 రూపంలో ఉండును.

AP Board 10th Class Maths Solutions 1st Lesson వాస్తవ సంఖ్యలు Exercise 1.1

ప్రశ్న4.
ఏదైనా ధన పూర్ణ సంఖ్య యొక్క ఘనం 9m లేదా 9m + 1 లేదా 9m + 8 రూపంలో ఉంటుందని చూపుము.
సాధన:
‘a’ అనునది ఏదేని ఒక ధన పూర్ణసంఖ్య మరియు b = 3.అనుకుందాం.
యూక్లిడ్ భాగహార శేష న్యాయం ప్రకారం
a = 3q + r ………… (1)
ఇక్కడ q 6 W మరియు 0 ≤ r < 2 అనగా r = 0 లేదా r = 1 లేదా r = 2

సందర్భం : 1
r = 0
(1) ⇒ a = 34
a3 = (3q)3
= 27q3
= 9 (3q3) = 9 m
ఇక్కడ m = 3q3.

సందర్భం : 2, r = 1
(1) ⇒ a = 3q + 1
a3 = (3q + 1)3
= 27q3 + 27q2 + 9q + 1
= 9(3q3 + 3q2 + q) + 1
= 9 m + 1 ఇక్కడ m = 3q3 + 3q2 + q

సందర్భం : 3
r = 2 (1) = a = (3q + 2)3
= 27q3 + 54q2 + 36q+ 8 = 9(3q3 + 6q2 + 44) + 8
= 9m + 8 ఇక్కడ m= 3q + 6q2 + 4q .. కావున ధన పూర్ణసంఖ్య యొక్క ఘనము 9m లేదా 9m + 1 లేదా 9m + 8 రూపంలో ఉంటుంది.

AP Board 10th Class Maths Solutions 1st Lesson వాస్తవ సంఖ్యలు Exercise 1.1

రెండవ పద్ధతి :
a అనునది ఏదేని ధనపూర్ణ సంఖ్య మరియు b = 3 అనుకొనుము.
యూక్లిడ్ భాగహార శేష న్యాయం ప్రకారం.
a = 3q + r, q ∈ W, 0 ≤ r < 3
⇒ a3 = (3q + r)3
⇒ a3 = 27q2 + 27q2r + 9qr2 + r ………… (1)

సందర్భం : 1, r = 0
(1) ⇒ a3 = 27q3 = 9(3q3) = 9m
ఇక్కడ m = 3q3

సందర్భం : 2,
r = 1
(1) ⇒ a3 = 27q3 + 27q2 + 9q + 1
= 9(3q3 + 3q2 + 4) + 1
a3 = 9m + 1 ఇక్కడ m = 3q3 + 3q2 + q

సందర్భం : 3,
r = 2
(1) ⇒ a3 = 27q3 + 54q2 + 36q + 8
= 9(3q3 + 6q2 + 4q) + 8
a3 = 9m + 8
ఇక్కడ m = 3q3 + 6q2 + 4q
కావున ధనపూర్ణ సంఖ్య యొక్క ఘనం 9m లేదా 9m + 1 లేదా 9m + 8 రూపంలో ఉంటుంది.

AP Board 10th Class Maths Solutions 1st Lesson వాస్తవ సంఖ్యలు Exercise 1.1

ప్రశ్న5.
ఏదైన ధన పూర్ణ సంఖ్య n కు n, n + 2 లేదా n + 4 లలో ఏదైనా ఒకటి మాత్రమే 3 చే భాగింపబడుతుందని చూపుము.

(లేదా)

a ధన పూర్ణ సంఖ్య అయిన a, a + 2 మరియు a + 4 లలొ ఏదో ఒకటి మాత్రమే 3 చే భాగింపబడుతుందని చూపుము.
సాధన.
n ఏదేని ధనపూర్ణ సంఖ్య మరియు n ను 3 చే భాగించగా భాగఫలం q, శేషం / అనుకుందాం.
యూక్లిడ్ భాగహార శేషన్యాయం ప్రకారం. n = 3q + r – (1), 0 ≤ r  < 3, r = 0 లేదా 1 లేదా 2

AP State Syllabus 10th Class Maths Solutions 1st Lesson వాస్తవ సంఖ్యలు Exercise 1.1 4

పై మూడు సందర్భాల నుండి ఏదేని ధనపూర్ణ సంఖ్య n కు n n + 2 లేదా n + 4 లలో ఏదైనా ఒకటి మాత్రమే 3చే భాగింపబడుతుంది.

AP 7th Class Social Important Questions 1st Lesson The Universe and The Earth

These AP 7th Class Social Important Questions 1st Lesson The Universe and The Earth will help students prepare well for the exams.

AP Board 7th Class Social 1st Lesson Important Questions and Answers The Universe and The Earth

Question 1.
Define Universe.
Answer:
The Universe is a vast space that contains many unimaginable elements.

Question 2.
What is Astronomy?
Answer:
The science that studies the Universe is called Astronomy.

Question 3.
What is the another name to astronomy in Russian Languahge?
Answer:
Astronomy is called Cosmology in the Russian language.

Question 4.
Who discovered telescope?
Answer:
Galileo discovered telescope.

AP 7th Class Social Important Questions 1st Lesson The Universe and The Earth

Question 5.
The word Universe is derived from
Answer:
The word Universe is originated from the Latin word “universum ” which means all matter and all space.

Question 6.
Who is an Astronomer?
Answer:
An astronomer is a scientist who studies the stars, planets and other natural objects in space.

Question 7.
What is Big Bang Theory?
Answer:
The Big Bang is how astronomers explain the way the Universe began.

It is the idea that the Universe began as just a single point, then expanded and stretched to grow as large as it is right now – and it is still stretching.

Question 8.
According to Astronomers, how many galaxies are there in the Universe?
Answer:
At least 125 billion Galaxies are there in the Universe.

Question 9.
What is Light year?
Answer:
A light year is a unit of distance.

Question 10.
What is Solar system?
Answer:
The Sun, the Moon, the Eight planets, Satellites, Comets, Asteroids and Meteoroids are joined together known as Solar system.

Question 11.
Mention the theories about the origin of the Solar system.
Answer:
There are many theories about the origin of the Solar system.

Some of them are :

  1. Geocentric theory
  2. Heliocentric theory.

AP 7th Class Social Important Questions 1st Lesson The Universe and The Earth

Question 12.
What is Environment?
Answer:
An environment is a natural system that works with all living and non-living things including plants, animals and micro-organisms in an area.

Question 13.
What is Natural environment?
Answer:
The Natural environment is comprising of land, water, air, living organisms like plants and animals.

Question 14.
What are the components of Environment?
Answer:
Natural, Human and Manmade are the components of Environment.

Question 15.
What are the layers of the Earth?
Answer:
The Earth consists of three layers.
They are named as follows :

  1. Crust
  2. Mantle
  3. Core.

Question 16.
Define Hydrosphere.
Answer:
All the water bodies present on the Earth’s surface are collectively known as Hydrosphere.

Question 17.
Which is known as Watery Planet?
Answer:
The Earth is known as Watery planet.

Question 18.
When do we celebrate “World Water Day”?
Answer:
We celebrate World Water Day every year on March 22nd.

Question 19.
Define Atmosphere.
Answer:
The thick envelop of air surrounding the Earth is called Atmosphere.

AP 7th Class Social Important Questions 1st Lesson The Universe and The Earth

Question 20.
When do we celebrate World Ozone Day?
Answer:
We celebrate World Ozone Day on September 16th every year.

Question 21.
In to how many layers the atmosphere is divided?
Answer:
The atmosphere is usually divided into five layers.

They are Troposhere, Stratosphere, Mesosphere, Thermosphere and Exosphere.

Question 22.
Define Biosphere.
Answer:
Biosphere is an environment where animals, microorganisms, Humans and plants live together.

Question 23.
What is meant by Human environment?
Answer:
Our surroundings which are formed with human beings are called Human environment.

Question 24.
What is meant by Man-made environment?
Answer:
Oursurroundings which are made by the human beings are called Man-made environment.

Question 25.
What is Pollution?
Answer:
Addition of various impurities to the environment is pollution.

Question 26.
What are the factors of Pollution?
Answer:
Ash, salt particles, smoke, acid rain, fuel consumption, industrial dust, CFC, etc.

Question 27.
What is a Disaster?
Answer:
Disaster is a serious disruption that occurs in the short or long term, causing extensive human, physical, economic or environmental damage that exceeds the ability of the affected community to use its own resources.

Question 28.
Mention the types of disasters.
Answer:

  1. Natural Disaster.
  2. Man-made Disaster.

Question 29.
Define Disaster Management.
Answer:
Disaster management is the continuous and comprehensive process of planning managing and implementing necessary or useful measures to prevent any risk or threat.

AP Board 7th Class Social 1st Lesson 1 Mark Bits Questions and Answers The Universe and The Earth

I. Multiple Choice Questions

1. Which is the third planet in the Solar system?
A) Earth
B) Mars
C) Jupiter
D) Venus
Answer:
A) Earth

2. Telescope was invented by
A) Copernicus
B) Thomas More
C) Galileo
D) Ptolemy
Answer:
C) Galileo

3. Big Bang Theory was proposed by
A) Galileo
B) Georges Lemaitre
C) Aryabhatta
D) Ptolemy
Answer:
B) Georges Lemaitre

AP 7th Class Social Important Questions 1st Lesson The Universe and The Earth

4. The distance from one edge of the Galaxy to the other is ………… light years.
A) 1 lakh
B) 1 lakh 50
C) 1 lakh 35
D) 1 lakh 20
Answer:
D) 1 lakh 20

5. The solid part of the Earth is called …………
A) Biosphere
B) Lithosphere
C) Hydrosphere
D) Atmosphere
Answer:
B) Lithosphere

6. World Earth Day is celebrated on …………….
A) 22nd April
B) 24th April
C) 23rd June
D) 21st June
Answer:
A) 22nd April

7. About 2/3rd of the Earth’s surface is covered by
A) Lithosphere
B) Hydrosphere
C) Atmosphere
D) Biosphere
Answer:
B) Hydrosphere

8. The word “Biosphere” originates from the …………… word ‘Bios’
A) Greek
B) Latin
C) English
D) Spanish
Answer:
B) Hydrosphere

9. Which is the third layer of the interior of the Earth?
i) Mantle
ii) Inner core
iii) Outer core
iv) Crust
A) (i)
B) (ii)
C) (i) & (ii)
D) (iv)
Answer:
C) (i) & (ii)

10. The number of planets in the solar system is
A) 5
B) 7
C) 8
D) 9
Answer:
C) 8

11. Astronomy is the study of the …………..
A) Universe
B) Aeronauts
C) Technology
D) All the above
Answer:
A) Universe

AP 7th Class Social Important Questions 1st Lesson The Universe and The Earth

12. Find the odd one out
A) Asteroids
B) Jupiter
C) Comets
D) Satellites
Answer:
B) Jupiter

13. Geocentric Theory was proposed by
A) Varahamihira
B) Aryabhata
C) Brahmagupta
D) Ptolemy
Answer:
D) Ptolemy

14. Copernicus proposed this theory
A) Heliocentric
B) Geocentric
C) Bing Bang
D) All the above
Answer:
A) Heliocentric

15. The Solar System is located in this galaxy
A) Andromeda
B) The Milkway
C) Cygnus A
D) Virgo A
Answer:
B) The Milkway

16. The Hydrosphere on the Earth is
A) 77%
B) 99%
C) 71%
D) 98%
Answer:
C) 71%

17. This is the loss due to the natural disasters
A) Loss of life
B) Property damage
C) Environmental damage
D) All the above.
Answer:
D) All the above.

18. A drought is a situation of prolonged shortage of …………
A) Water supply
B) Money flow
C) Both A and B
D) None
Answer:
A) Water supply

19. This is not a way to conserve natural resource …………..
A) Increasing the use of natural gas
B) Alternatives to non-renewable resources
C) Increasing the use of bio-fuels
D) None of the above
Answer:
A) Increasing the use of natural gas

AP 7th Class Social Important Questions 1st Lesson The Universe and The Earth

20. This is one of the cause of water pollution ………………
A) Bio-fertilizers
B) Plantations
C) Industrial effluents
D) All the above
Answer:
C) Industrial effluents

21. Air pollution causes
A) Global warming
B) Acid rains
C) Respiratory health problems
D) All the above
Answer:
D) All the above

22. The environment where microorganisms live
A) Biosphere
B) Exosphere
C) Stratosphere
D) Ionosphere
Answer:
A) Biosphere

23. Arrange the following from top to bottom
1. Troposphere
2. Stratosphere
3. Mesosphere
4. Exosphere
A) 2-1-3-4
B) 1-2-3-4
C) 4-3-2-1
D) 3-2-4-1
Answer:
B) 1-2-3-4

24. The percentage of water useful to us
A) 10%
B) 21%
C) 1%
D) 99%
Answer:
C) 1%

25. The crust is in this layer
A) Troposphere
B) Mesosphere
C) Stratosphere
D) Exosphere
Answer:
A) Troposphere

AP 7th Class Social Important Questions 1st Lesson The Universe and The Earth

26. The word ‘spharia’ is derived from this language
A) French
B) Greek
C) Latin
D) English
Answer:
B) Greek

II. Intext – Bits – Fill in the Blanks

1. The Science that studies the Universe is called ……………..
2. Scientific research in astronomy began with the Italian astronomer named …………….. .
3. The Big Bang Theory was first proposed by a Belgian astronomer named …………….. .
4. The word Universe is originated from the Latin word …………….. .
5. The Universe is expanding about …………….. km per second.
6. ………….. is a unit of distance.
7. Light moves at a velocity of above …………….. km per second.
8. According to Astronomers, at least billion Galaxies are there in the Universe.
9. …………….. is made up of the Sun and the eight Planets.
10. Scientists estimated that our Solar System was formed about …………….. years ago.
11. Geocentric theory Was proposed by an Egyptian astronomer named …………….. .
12. Heliocentric theory was proposed by the Polish astronomer named …………….. .
13. Every year we celebrate …………….. as ‘World Environment Day’.
14. The solid part of the Earth is called …………….. .
15. ‘World Earth Day’ is celebrated on …………….. .
16. ‘World Water Day’ is celebrated on …………….. .
17. All the water bodies present on the Earth’s surface are collectively known as …………….. .
18. The thick envelope of air surrounding the Earth is called …………….. .
19. ‘World Ozone Day’is celebrated on …………….. .
20. The atmosphere is a mixture of several …………….. .
21. Our surroundings which are formed with human beings are called …………….. .
22. Our surroundings which are made by the human beings are Called …………….. .
23. The Nigrogen % in the atmosphere is …………….. .
24. …………….. % of oxygen is in the atmosphere.
25. For the first time, disaster management was defined as a development issue in the …………………..
26. …………….. is a situation of prolonged shortage of water supply, whether surface water or ground water.
27. One examp’e for man-made-environment …………….. .
28. …………….. helps the plants in the photosynthesis process.
29. The atmosphere is usually divided into …………….. layers.
30. The 99% of water is in the form of …………….. .
31. The third layer …………….. is the interior of the earth.
32. The topmost layer of the earth is …………….. .
33. Nicolaus copernicus is a …………….. astronomer.
34. Ptolemy is a …………….. astronomer.
35. Georges Lemaitre is a …………….. astronomer.
Answer:

  1. Astronomy
  2. Galileo
  3. Georges Lemaitre
  4. Universum
  5. 70 kms
  6. A light – year
  7. 3,00,000
  8. 125
  9. Solar System
  10. 4.6 billion
  11. Ptolemy
  12. Nicolaus Copernicus
  13. On June 5th
  14. Lithosphere
  15. April 22nd
  16. March 22nd
  17. Hydrosphere
  18. Atmosphere
  19. September 16th
  20. gases
  21. Human environment
  22. Man-made environment.
  23. 78%
  24. 21%
  25. Tenth Five year plan
  26. Drought
  27. Parks
  28. Carbondioxide
  29. 5
  30. ice, saline water
  31. Core
  32. Crust
  33. Polish Astronomer
  34. Egyptian Astronomer
  35. Belgian

III. Match the following
1.

Group-A Group-B
1. Big Bang Theory A) Nicolaus Copernicus
2. Geo Centric Theory B) Georges Lemaitre
3. Helio Centric Theory C) Ptolemy

Answer:

Group-A Group-B
1. Big Bang Theory B) Georges Lemaitre
2. Geo Centric Theory C) Ptolemy
3. Helio Centric Theory A) Nicolaus Copernicus

2.

Group-A Group-B
1. World Environment Day A) April 22 nd
2. World Earth Day B) September 16 th
3. World Water Day C) June 5th
4. World Ozone Day D) March 22nd

Answer:

Group-A Group-B
1. World Environment Day C) June 5 th
2. World Earth Day A) April 22 nd
3. World Water Day D) March 22nd
4. World Ozone Day B) September 16 th

3.

Group-A Group-B
1. Lithos A) Water
2. Atmos B) Land
3. Hydro C) Life
4. Bios D) Living and Non-living organisms
5. Environment E) Vapour

Answer:

Group-A Group-B
1. Lithos B) Land
2. Atmos E) Vapour
3. Hydro A) Water
4. Bios C) Life
5. Environment D) Living and Non-living organisms

4.

Group-A Group-B
1. Oxygen A) 78%
2. Nitrogen B) 0.03%
3. Argon C) 21%
4. Carbon dioxide D) 0.93%
5. All others E) 0.04%

Answer:

Group-A Group-B
1. Oxygen C) 21%
2. Nitrogen A) 78%
3. Argon D) 0.93%
4. Carbon dioxide B) 0.03%
5. All others E) 0.04%

AP Board 7th Class Maths Solutions Chapter 1 Integers Ex 1.1

SCERT AP 7th Class Maths Solutions Pdf Chapter 1 Integers Ex 1.1 Textbook Exercise Questions and Answers.

AP State Syllabus 7th Class Maths Solutions 1st Lesson Integers Exercise 1.1

Question 1.
Multiply the following.
(i) 5 × 7
Answer:
5 × 7 = 35

AP Board 7th Class Maths Solutions Chapter 1 Integers Ex 1.1

(ii) (-9) × (6) .
Answer:
(-9) × (6)
= -(9 × 6) = – 54

(iii) (9) × (-4)
Answer:
9 × – 4
= – (9 × 4) = – 36

(iv) (8) × (-7)
Answer:
8 × (-7) = – (8 × 7) = – 56

(v) (-124) × (-1)
Answer:
(-124) × (-1) = +(124 × 1) = + 124

(vi) (-12) × (-7)
Answer:
(-12) × (-7) = + (12 × 7) = + 84

(vii) (-63) × (7)
Answer:
(-63) × (7) = -(63 × 7) = – 441

(viii) (7) × (-15)
Answer:
7 × (-15) = – (7 × 15) = – 105

AP Board 7th Class Maths Solutions Chapter 1 Integers Ex 1.1

Question 2.
Which is greater?
(i) 2 × (-5) or 3 × (-4)
Answer:
2 × (-5) or 3 × (-4)
– (2 × 5) or – (3 × 4)
– 10 or – 12
– 10 greater than – 12
∴(-10) > (-12)

(ii) (-6) × (-7) or (-8) × 5
Answer:
(-6) × (-7) or (-8) × 5
6 × 7 or -(8 × 5)
42 or – 40
42 greater than – 40
∴ 42 > (-40)

(iii) (- 6) × 10 or (- 3) × (- 21)
Answer:
(-6) × 10 or (- 3) × (-21)
– (6 × 10) or 3 × 21
– 60 or 63
(- 60) less than 63
(or)
63 greater than (-60)
∴ 63 > (- 60)

(iv) 9 × (-11) or 6 × (-16)
Answer:
9 × (-11) or 6 × (-16)
-(9 × 11) or – (6 × 16)
(-99) or (- 96)
(- 99) less than (- 96)
(- 99) < (- 96)
(or)
(- 96) greater than (- 99)
∴ (-96) > (-99)

AP Board 7th Class Maths Solutions Chapter 1 Integers Ex 1.1

(v) (-8) × (-5) or (-9) × (-4)
Answer:
(-8) × (-5) or (-9) × (-4) + (8 × 5) or + (9 × 4)
40 or 36
40 greater than 36
∴ 40 > 36

Question 3.
Write the pair of integers whose product will give
(i) A negative integer
Answer:
AP Board 7th Class Maths Solutions Chapter 1 Integers Ex 1.1 1

(ii) A positive integer
Answer:
AP Board 7th Class Maths Solutions Chapter 1 Integers Ex 1.1 2

(iii) Zero
Answer:
AP Board 7th Class Maths Solutions Chapter 1 Integers Ex 1.1 3

AP Board 7th Class Maths Solutions Chapter 1 Integers Ex 1.1

Question 4.
A frog is slipping into a well from upper surface at a rate of 3 meters per minute, after 5 minutes what is the position of the frog in the well?
AP Board 7th Class Maths Solutions Chapter 1 Integers Ex 1.1 4
Answer:
No. of meters slipped by frog per minute = 3m = – 3 m
No. of meters slipped by frog per 5 minutes = (-3) × 5
= – (3 × 5)
= – 15 m
That is the frog is 15 m down from the upper surface.

Question 5.
During the summer, the level of water in a pond decreases by 5 inches every week due to evaporation. What is the change in the level of the water over a period of 6 weeks ?
AP Board 7th Class Maths Solutions Chapter 1 Integers Ex 1.1 5
Answer:
Decrease in water level per every week = 5 inches = (- 5)
Decrease in water level per 6 weeks = (-5) × 6 .
= – (5 × 6)
= – 30 inches
Change in the level of the water in the pond per 6 weeks is 30 inches decreased.

AP Board 7th Class Maths Solutions Chapter 1 Integers Ex 1.1

Question 6.
A shop keeper earns a profit of ₹ 5 on one note book and loss of ₹ 3 on one pen by selling in the month of July. He sells 1500 books and 1500 pens. Find out what is his profit or loss.
Answer:
Profit on each notebook = ₹5
Profit on 1500 notebooks = 1500 × 5
Total profit on 1500 note books = ₹ 75 007/-
Loss on each pen = ₹3
Which we denoted by – 3.
Loss on 1500 pens = 1500 × -3
= – ₹ 4500
profit > loss
So, he will get profit.
Total profit = 7500 – 4500
= ₹ 3000/-

Question 7.
A cement company earns a profit of ₹ 8 per bag of white cement and a loss of per bag of grey cement by selling.
The company sells 2,000 bags of white cement and 3,000 bags of grey cement in a month. Find out what is its profit or loss.
Answer:
Profit on each white cement bag = ₹ 8
Profit on each white cement bag
= 2000 × 8
= ₹ 16000
Loss on each grey cement bag = ₹ 6
Which we denoted by – 6.
Loss on 3000 grey cement bags = 3000 × – 6
= – ₹ 18000
Loss is more than profit.
So, he will get loss.
∴ Total loss = 16000 + (-18000)
= + 16000 – 18000
= – 2000/-

AP Board 7th Class Maths Solutions Chapter 1 Integers Ex 1.1

Question 8.
Fill in the blanks with suitable integer to make the statement true.
(i) (-4) × _________ = – 20
Answer:
(- 4) × 5 = – 20
(- 4) × 5 = – 20
– (4 × 5) = – 20
– 20 = – 20

(ii) __________ × 5 = – 35
Answer:
-7 × 5 = – 35
(-7) × 5 = – 35
– (7 × 5) = – 35
– 35 = – 35

(iii) (-6) × __________ = 48
Answer:
(-6) × (-8) = 48
(-6) × (-8) = 48
6 × 8 = 48
48 = 48

(iv) __________ × (- 9) = 45
Answer:
(-5) × (-9) = 45
(-5) × (-9) = 45
5 × 9 = 45
45 = 45

(v) ___________ × 7 = – 42
Answer:
– (6) × 7) = – 42
– (6) × 7) = – 42
– (6 × 7) = – 42
– 42 = – 42

AP Board 7th Class Maths Solutions Chapter 1 Integers Ex 1.1

(vi) 8 × = – 8
Answer:
8 × (-1) = – 8
(8) × (-1) = – 8 – (8 × 1) = – 8
– 8 = – 8

AP Board 7th Class Social Studies Important Questions and Answers English & Telugu Medium

Andhra Pradesh SCERT AP State Board Syllabus 7th Class Social Studies Chapter Wise Important Questions and Answers in English Medium and Telugu Medium are part of AP Board 7th Class Textbook Solutions.

Students can also read AP Board 7th Class Social Studies Solutions for exam preparation.

AP State Syllabus 7th Class Social Studies Important Questions and Answers English & Telugu Medium

AP 7th Class Social Studies Important Questions and Answers in English Medium

7th Class Social Important Questions Sem 1

AP 7th Class Social Important Questions Sem 2

AP 7th Class Social Chapter Wise Important Questions in Telugu Medium

7th Class Social Important Questions Sem 1

AP 7th Class Social Important Questions Sem 2

AP 7th Class Social Studies Important Questions and Answers in English Medium (Old Syllabus)

AP Board 8th Class Social Studies Important Questions and Answers English & Telugu Medium

Andhra Pradesh SCERT AP State Board Syllabus 8th Class Social Studies Chapter Wise Important Questions and Answers in English Medium and Telugu Medium are part of AP Board 8th Class Textbook Solutions.

Students can also read AP Board 8th Class Social Studies Solutions for exam preparation.

AP State Syllabus 8th Class Social Studies Important Questions and Answers English & Telugu Medium

AP 8th Class Social Studies Important Questions and Answers in English Medium

Theme I: Diversity on the Earth

Theme II: Production, Exchange and Livelihoods

Theme III: Political Systems and Governance

Theme IV: Social Organisation and Inequities

Theme V: Religion and Society

Theme VI: Culture and Communication

AP 8th Class Social Chapter Wise Important Questions in Telugu Medium

AP Board 6th Class Social Studies Important Questions and Answers English & Telugu Medium

Andhra Pradesh SCERT AP State Board Syllabus 6th Class Social Studies Chapter Wise Important Questions and Answers in English Medium and Telugu Medium are part of AP Board 6th Class Textbook Solutions.

Students can also read AP Board 6th Class Social Studies Solutions for exam preparation.

AP State Syllabus 6th Class Social Studies Important Questions and Answers English & Telugu Medium

AP 6th Class Social Studies Important Questions and Answers in English Medium

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