SCERT AP 7th Class Maths Solutions Pdf Chapter 2 Fractions, Decimals and Rational Numbers Ex 2.3 Textbook Exercise Questions and Answers.

AP State Syllabus 7th Class Maths Solutions 2nd Lesson Fractions, Decimals and Rational Numbers Exercise 2.3

Question 1.
Fill ¡n the blanks in the table. One is done for you.
Answer:

Division Quotient
1. 362.21 ÷ 10 36.221
2. 5636.1 ÷ 100 56.361
3. 374.9 ÷ 1000 0.3749
4. 2016.4 ÷ 1000 2.0164
5. 123.0 ÷100 1.23
6. 1300.7 ÷ 1000 1.3007
7. 590.01 ÷ 10 59.001

Question 2.
Solve the following,
(i) 5.51 ÷ 2
Answer:
5.51 ÷ 2
= \(\frac{551}{100} \div \frac{2}{1}\)
= \(\frac{551}{100} \times \frac{1}{2}\)
= \(\frac{551 \times 1}{100 \times 2}\)
= \(\frac{551}{200}\)
∴ 5.51 ÷ 2 = 2.755

(ii) 38.4 ÷ 3
Answer:
38.4 ÷ 3
= \(\frac{384}{10} \div \frac{3}{1}\)
= \(\frac{384}{10} \times \frac{1}{3}\)
= \(\frac{384 \times 1}{10 \times 3}\)
= \(\frac{384}{30}\)
∴ 38.4 ÷ 3 = 12.8

(iii) 57.39 ÷ 6
Answer:
57.39 ÷ 6
= \(\frac{5739}{100} \div \frac{6}{1}\)
= \(\frac{5739}{100} \times \frac{1}{6}\)
= \(\frac{5739 \times 1}{100 \times 6}\)
= \(\frac{5739}{600}\)
∴ 57.39 ÷ 6 = 9.565

AP Board 7th Class Maths Solutions Chapter 2 Fractions, Decimals and Rational Numbers Ex 2.3

(iv) 562.1 ÷ 11
Answer:
562.1 ÷ 11
= \(\frac{5621}{10} \div \frac{11}{1}\)
AP Board 7th Class Maths Solutions Chapter 2 Fractions, Decimals and Rational Numbers Ex 2.3 1
= \(\frac{511}{10}\)
∴ 562.1 ÷ 11 = 51.1

(v) 0.7005 ÷ 5
Answer:
0.7005 ÷ 5
= \(\frac{7005}{10000} \div \frac{5}{1}\)
AP Board 7th Class Maths Solutions Chapter 2 Fractions, Decimals and Rational Numbers Ex 2.3 2
= \(\frac{1401}{10000}\)
∴ 0.7005 ÷ 5 = 0.1401

(vi) 9.99 ÷ 3
Answer:
9.99 ÷ 3
= \(\frac{999}{100} \div \frac{3}{1}\)
AP Board 7th Class Maths Solutions Chapter 2 Fractions, Decimals and Rational Numbers Ex 2.3 3
= \(\frac{333}{100}\)
∴ 9.99 ÷ 3 = 3.33

(vii) 13 ÷ 6.5
Answer:
13 ÷ 6.5
= \(\frac{13}{1} \div \frac{65}{10}\)
AP Board 7th Class Maths Solutions Chapter 2 Fractions, Decimals and Rational Numbers Ex 2.3 4
= \(\frac{2}{1}\)
∴ 13 ÷ 6.5 = 2

(viii) 10.01 ÷ 11
Answer:
10.01 ÷ 11
= \(\frac{1001}{100} \div \frac{11}{1}\)
AP Board 7th Class Maths Solutions Chapter 2 Fractions, Decimals and Rational Numbers Ex 2.3 5
= \(\frac{91}{100}\)
∴ 10.01 ÷ 11 = 0.91

(ix) 8 ÷ 0.32
Answer:
8 ÷ 0.32
AP Board 7th Class Maths Solutions Chapter 2 Fractions, Decimals and Rational Numbers Ex 2.3 6
∴ 8 ÷ 0.32 = 25

AP Board 7th Class Maths Solutions Chapter 2 Fractions, Decimals and Rational Numbers Ex 2.3

(x) 320.1 ÷ 33
Answer:
320.1 ÷ 33
AP Board 7th Class Maths Solutions Chapter 2 Fractions, Decimals and Rational Numbers Ex 2.3 7
∴ 320.1 ÷ 33 = 9.7

Question 3.
Solve the following divisions,
(i) 78.24 ÷ 0.2
Answer:
78.24 ÷ 0.2
AP Board 7th Class Maths Solutions Chapter 2 Fractions, Decimals and Rational Numbers Ex 2.3 8
∴ 78.24 ÷ 0.2 = 391.2

(ii) 4.845 ÷ 1.5
Answer:
4.845 ÷ 1.5
= \(\frac{4845}{1000} \div \frac{15}{10}\)
AP Board 7th Class Maths Solutions Chapter 2 Fractions, Decimals and Rational Numbers Ex 2.3 9

(iii) 0.246 ÷ 0.6
Answer:
AP Board 7th Class Maths Solutions Chapter 2 Fractions, Decimals and Rational Numbers Ex 2.3 10

(iv) 563.2 ÷ 2.2
Answer:
563.2 ÷ 2.2
AP Board 7th Class Maths Solutions Chapter 2 Fractions, Decimals and Rational Numbers Ex 2.3 11
∴ 563.2 ÷ 2.2 = 256

(v) 0.026 ÷ 0.13
Answer:
0.026 ÷ 0.13
AP Board 7th Class Maths Solutions Chapter 2 Fractions, Decimals and Rational Numbers Ex 2.3 12
∴ 0.026 ÷ 0.13 = 0.2

(vi) 4.347 ÷ 0.09
Answer:
4.347 ÷ 0.09
\(\frac{4347}{1000} \div \frac{9}{100}\)
AP Board 7th Class Maths Solutions Chapter 2 Fractions, Decimals and Rational Numbers Ex 2.3 13
∴ 4.347 ÷ 0.09 = 48.3

(vii) 3.9 ÷ 0.13
Answer:
3.9 ÷ 0.13
AP Board 7th Class Maths Solutions Chapter 2 Fractions, Decimals and Rational Numbers Ex 2.3 14
∴ 3.9 ÷ 0.13 = 30

(viii) 2032 ÷ 0.8
Answer:
20.32 ÷ 0.8
AP Board 7th Class Maths Solutions Chapter 2 Fractions, Decimals and Rational Numbers Ex 2.3 15
∴ 20.32 ÷ 0.8 = 25.4

(ix) 24.4 ÷ 6.1
Answer:
24.4 ÷ 6.1
AP Board 7th Class Maths Solutions Chapter 2 Fractions, Decimals and Rational Numbers Ex 2.3 16
∴ 24.4 ÷ 6.1 = 4

AP Board 7th Class Maths Solutions Chapter 2 Fractions, Decimals and Rational Numbers Ex 2.3

(x) 2.164 ÷ 0.008
Answer:
2.164 ÷ 0.008
\(\frac{2164}{1000} \div \frac{8}{1000}\)
AP Board 7th Class Maths Solutions Chapter 2 Fractions, Decimals and Rational Numbers Ex 2.3 17
∴ 2.164 ÷ 0.008 = 270.5

Question 4.
Solve the following.
(i) Divide 39.54 by 6
Answer:
39.54 by 6
= 39.54 ÷ 6
AP Board 7th Class Maths Solutions Chapter 2 Fractions, Decimals and Rational Numbers Ex 2.3 18
∴ 39.54 ÷ 6 = 6.59

(ii) Divide 72 by 10
Answer:
7.2 by 10
= 7.2 ÷ 10
= \(\frac{72}{10} \div \frac{10}{1}\)
= \(\frac{72}{10} \times \frac{1}{10}\)
= \(\frac{72 \times 1}{10 \times 10}=\frac{72}{100}\)
∴ 7.2 ÷ 10 = 0.72

(iii) Divide 5.2 by 1.3
Answer:
5.2 by 1.3
= 5.2 ÷ 1.3
AP Board 7th Class Maths Solutions Chapter 2 Fractions, Decimals and Rational Numbers Ex 2.3 19
∴ 5.2 ÷ 1.3 = 4

Question 5.
‘Sekhar travelled 154.5 km. in 5 hours with uniform speed on his bike. How much distance does he travel in one hour ?
Answer:
Given, distance travelled in 5 hours = 154.5 km
AP Board 7th Class Maths Solutions Chapter 2 Fractions, Decimals and Rational Numbers Ex 2.3 20
∴ Distance travelled by Sekhar in 1 hour = 30.9 km

AP Board 7th Class Maths Solutions Chapter 2 Fractions, Decimals and Rational Numbers Ex 2.3

Question 6.
If a Mason worked 100 hours in 12.5 days to construct a wall, then how many hours he totally worked in a day?
AP Board 7th Class Maths Solutions Chapter 2 Fractions, Decimals and Rational Numbers Ex 2.3 21
Answer:
Given number of hours worked in 12.5 days to.construct a wall = 100 hours.
Number of hours worked in one day
= 100 ÷ 12.5
= \(\frac{100}{1} \div \frac{125}{10}\)
= \(\frac{100}{1} \times \frac{10}{125}\)
= \(\frac{1000}{125}\)
∴ Number of hours worked by Mason in one day = 8 hours.

Question 7.
If the cost of dozen eggs is ₹ 61.80, then find the cost of an egg.
Answer:
Given, cost of dozen eggs = ₹ 61.80
We know 1 dozen =12
Cost of one egg = 61.80 ÷ 12
AP Board 7th Class Maths Solutions Chapter 2 Fractions, Decimals and Rational Numbers Ex 2.3 22
= \(\frac{515}{100}\)
∴ Cost of one egg = ₹ 5.15

Question 8.
If the price of a tablet strip containing 10 tablets is ₹ 26.5, then find the price of each tablet.
Answer:
Given, cost of 10 tablets = ₹ 26.5
Cost of each tablet = 26.5 ÷ 10
= \(\frac{265}{10} \div \frac{10}{1}\)
= \(\frac{265}{10} \times \frac{1}{10}\)
= \(\frac{265}{100}\)

∴ Cost of each tablet = ₹ 2.65.