SCERT AP 7th Class Maths Solutions Pdf Chapter 2 Fractions, Decimals and Rational Numbers Unit Exercise Questions and Answers.
AP State Syllabus 7th Class Maths Solutions 2nd Lesson Fractions, Decimals and Rational Numbers Unit Exercise
Question 1.
Choose the correct answer,
(i) The set of integers are denoted by [ ]
(A) N
(B) W
(C) Z
(D) Q
Answer:
(C) Z
(ii) Number of decimal places in the product of 48.23 × 0.2 [ ]
(A) 2
(B) 3
(C) 1
(D)5
Answer:
(B) 3
(iii) Number of decimal places to the quotient of 537.1 + 10 [ ]
(A) 1
(B) 2
(C) 4
(D) 3
Answer:
(B) 2
(iv) An integer can be ____________
(A) negative
(B) positive
(C) zero
(D) all the above
Answer:
(D) all the above
Question 2.
Fill in the blanks:
(i) The numbers written in the form of \(\frac{p}{q}\), where p. q are integers and q ≠ 0 are __________ numbers
Answer:
(ii) 0.11 × 0.11 = __________
Answer:
0.11 × 0.11
= \(\frac{11}{100} \times \frac{11}{100}\)
= \(\frac{121}{10000}\) = 0.0121
(iii) Standard form of – \(\frac{15}{6}\) = ______
Answer:
Standard form of – \(\frac{15}{6}\)
(iv) Equivalent fraction to –\(\frac{2}{3}\) = __________
Answer:
Equivalent fraction to –\(\frac{2}{3}\)
Question 3.
Find the product:
(i) 2.1 × 6.3
Answer:
2.1 × 6.3
= \(\frac{21}{10} \times \frac{63}{10}\)
= \(\frac{1323}{100}\) = 13.23
∴ 2.1 × 6.3 = 13.23
(ii) 43.205 × 1.27
Answer:
43.205 × 1.27
= \(\frac{43205}{1000} \times \frac{127}{100}\)
= \(\frac{43205 \times 127}{1000 \times 100}\)
= \(\frac{5487035}{100000}\)
∴ 43.205 × 1.27 = 54.87035
(iii) 7.641 × 3.5
Answer:
7.64 1 × 3.5
= \(\frac{7641}{1000} \times \frac{35}{10}\)
= \(\frac{7641 \times 35}{1000 \times 10}\)
= \(\frac{267435}{10000}\)
∴ 7.641 × 3.5 = 26.7435.
(iv) 5.24 × 0.99
Answer:
5.24 × 0.99
= \(\frac{524}{100} \times \frac{99}{100}\)
= \(\frac{524 \times 99}{100 \times 100}\)
= \(\frac{51876}{10000}\)
∴ 5.24 × 0.99 = 5.1876
Question 4.
Solve the following :
(i) 61.24 ÷ 0.4
Answer:
61.24 ÷ 0.4
∴ 61.24 ÷ 0.4 = 153.1
(ii) 23.45 ÷ 1.5
Answer:
23.45 ÷ 1.5
∴ 23.45 ÷ 1.5 = 15.633….
(iii) 0.312 ÷ – 0.6
Answer:
0.312 ÷ – 0.6
∴ 0.312 ÷ – 0.6 = -0.52
(iv) 32.2 ÷ 2.2
Answer:
32,2 ÷ 2.2
∴ 32.2 ÷ 2.2 = 14.6363….,
Question 5.
Multiply 0.04 by – \(\frac{1}{2}\)
Answer:
Given multiply 0.04 by –\(\frac{1}{2}\)
Question 6.
Find standard form of – \(\frac{15}{35}\)
Answer:
Question 7.
A bus travelled 300 km In 7 \(\frac{1}{2}\)hours with uniform speed. Find how many km, it travelled in 1 hour.
Answer:
Given distance travelled by bus in 7\(\frac{1}{2}\)
hours = 300 km
Distance travelled by bus in 1 hour
= 300 ÷ 7\(\frac{1}{2}\)
Question 8.
Suvarna had 300. She spent \(\frac{1}{3}\) of her money on notebooks and \(\frac{1}{4}\) of the remaining on stationery items. How much money is left with ber?
Answer:
Total money Suvarna had = ₹ 300
Money spent on notebooks
= \(\frac{1}{3}\) of ₹ 300
Remaining amount
= Total money – spent on books
= 300 – 100 = ₹ 200
Money spent on stationery
= \(\frac{1}{4}\) of remaining amount
Money left with Suvarna
= Total money – spent on books – spent on stationery
= 300 – 100 – 50
= 300 – 150
∴ Money left with Suvarna = ₹ 150
Question 9.
One litre of diesel costs ₹ 84.65. What is the cost of 12.5 liters of diesel?
Answer:
Given cost of one litre diesel = ₹ 84.65
Cost of 12.5 liters diesel = 84.65 × 12.5
= \(\frac{8465}{100} \times \frac{125}{10}\)
= \(\frac{1058125}{1000}\) = ₹ 1058.125
∴ Cost of 12.5 litres diesel = ₹ 1058.125
Question 10.
Represent \(\frac{-2}{5}, \frac{-3}{5}, \frac{-1}{5}, \frac{3}{5}\) on same number line.
Answer:
Given fractions are \(\frac{-2}{5}, \frac{-3}{5}, \frac{-1}{5}, \frac{3}{5}\)
Ascending order: \(\frac{-3}{5}, \frac{-2}{5}, \frac{-1}{5}, \frac{3}{5}\)
