Punjab State Board PSEB 7th Class Maths Book Solutions Chapter 2 Fractions and Decimals Ex 2.7 Textbook Exercise Questions and Answers.

## PSEB Solutions for Class 7 Maths Chapter 2 Fractions and Decimals Ex 2.7

1. Solve, dividing decimal number by 10, 100 or 1000 in the following :

Question (i).

2.7 ÷ 10

Answer:

2.7 ÷ 10 = \(\frac{27}{10} \times \frac{1}{10}\)

= \(\frac{27}{100}\)

= 0.27

Question (ii).

3.35 ÷ 10

Answer:

3.35 ÷ 10 = \(\frac{335}{100} \times \frac{1}{10}\)

= \(\frac {335}{1000}\)

= 0.335

Question (iii).

0.15 ÷ 10

Answer:

0.15 ÷ 10 = \(\frac{15}{100} \times \frac{1}{10}\)

= \(\frac {15}{1000}\)

= 0.015

Question (iv).

32.7 ÷ 10

Answer:

32.7 ÷ 10 = \(\frac{327}{10} \times \frac{1}{10}\)

= \(\frac {327}{100}\)

Question (v).

5.72 ÷ 100

Answer:

5.72 ÷ 100 = \(\frac{572}{100} \times \frac{1}{100}\)

= \(\frac {572}{10000}\)

= 0.0572

Question (vi).

23.75 ÷ 100

Answer:

23.75 ÷ 100 = \(\frac{2375}{100} \times \frac{1}{100}\)

= \(\frac {2375}{10000}\)

= 0.2375

Question (vii).

532.73 ÷ 100

Answer:

532.73 ÷ 100 = \(\frac{53273}{100} \times \frac{1}{100}\)

= \(\frac {53273}{10000}\)

= 5.3273

Question (viii).

1.321 ÷ 100

Answer:

1.321 ÷ 100 = \(\frac{1321}{1000} \times \frac{1}{100}\)

= \(\frac {1321}{10000}\)

= 0.01321

Question (ix).

2.5 ÷ 1000

Answer:

2.5 ÷ 1000 = \(\frac{25}{10} \times \frac{1}{1000}\)

= \(\frac {25}{10000}\)

= 0.0025

Question (x).

53.83 ÷ 1000

Answer:

53.83 ÷ 1000 = \(\frac{5383}{100} \times \frac{1}{1000}\)

= \(\frac {5383}{100000}\)

= 0.05383

Question (xi).

217.35 ÷ 1000

Answer:

217.35 ÷ 1000 = \(\frac{21735}{100} \times \frac{1}{1000}\)

= \(\frac {21735}{100000}\)

= 0.21735

Question (xii).

0.2 ÷ 1000

Answer:

0.2 ÷ 1000 = \(\frac{2}{10} \times \frac{1}{1000}\)

= \(\frac {2}{10000}\)

= 0.0002

2. Solve, dividing decimal number by whole number.

Question (i).

7.5 ÷ 5

Answer:

7.5 ÷ 5 = \(\frac{75}{10} \times \frac{1}{5}\)

= \(\frac {15}{10}\)

= 1.5

Question (ii).

16.9 ÷ 13

Answer:

16.9 ÷ 13 = \(\frac{169}{10} \times \frac{1}{13}\)

= \(\frac {13}{10}\)

= 1.3

Question (iii).

65.4 ÷ 6

Answer:

65.4 ÷ 6 = \(\frac{654}{10} \times \frac{1}{6}\)

= \(\frac {109}{10}\)

= 10.9

Question (iv).

0.121 ÷ 11

Answer:

0.121 ÷ 11 = \(\frac{121}{1000} \times \frac{1}{11}\)

= \(\frac {11}{1000}\)

= 0.011

Question (v).

11.84 ÷ 4

Answer:

11.84 ÷ 4 = \(\frac{1184}{100} \times \frac{1}{4}\)

= \(\frac {296}{100}\)

= 2.96

Question (vi).

47.6 ÷ 7

Answer:

47.6 ÷ 7 = \(\frac{476}{10} \times \frac{1}{7}\)

= \(\frac {68}{10}\)

= 6.8

3. Solve, dividing the decimal number by decimal number

Question (i).

3.25 ÷ 0.5

Answer:

3.25 ÷ 0.5 = \(\frac{325}{100} \div \frac{5}{10}\)

= \(\frac{325}{100} \times \frac{10}{5}\)

= \(\frac {65}{10}\)

= 6.5

Question (ii).

5.4 ÷ 1.2

Answer:

5.4 ÷ 1.2 = \(\frac{54}{10} \div \frac{12}{10}\)

= \(\frac{54}{10} \times \frac{10}{12}\)

= \(\frac {9}{2}\)

= 4.5

Question (iii).

26.32 ÷ 3.5

Answer:

26.32 ÷ 3.5 = \(\frac{2632}{100} \div \frac{35}{10}\)

= \(\frac{2632}{100} \times \frac{10}{35}\)

= \(\frac {752}{100}\)

= 7.52

Question (iv).

2.73 ÷ 13

Answer:

2.73 ÷ 13 = \(\frac{273}{100} \times \frac{10}{13}\)

= \(\frac {21}{10}\)

= 2.1

Question (v).

12.321 ÷ 11.1

Answer:

12.321 ÷ 11.1 = \(\frac{12321}{1000} \div \frac{111}{10}\)

= \(\frac{12321}{1000} \times \frac{10}{111}\)

= \(\frac {111}{100}\)

= 1.11

Question (vi).

0.0018 ÷ 0.15

Answer:

0.0018 ÷ 0.15 = \(\frac{18}{10000} \div \frac{15}{100}\)

= \(\frac{18}{10000} \times \frac{100}{15}\)

= \(\frac {12}{1000}\)

= 0.012

4. 25 steel chairs were purchased by a school for ₹ 11,883.75. Find the cost of one steel chair.

Answer:

Cost Price of 25 steel chairs = ₹ 11,883.75

Cost Price of 1 steel chair = ₹ 11,883.75 ÷ 15

= ₹ \(\frac{11,88375}{100} \times \frac{1}{15}\)

= ₹ \(\frac {47535}{100}\)

= ₹ 475.35

5. A car covers a distance of 276.75 km in 4.5 hours. What is the average speed of the car ?

Answer:

Total Distance covered = 276.75 km

Time taken = 4.5 hours

Average speed of car = \(\frac{Distance}{Time}\)

= \(\frac{276.75}{4.5}\)

= \(\frac{27675}{100} \times \frac{10}{45}\)

= \(\frac {615}{10}\)

= 61.5 km/hr.

6. Multiple Choice Questions :

Question (i).

27.5 ÷ 10 = ?

(a) 275

(b) 0.275

(c) 2.75

(d) None of these.

Answer:

(c) 2.75

Question (ii).

The value of 1.5 ÷ 3 is :

(a) 5

(b) 0.05

(c) 0.5

(d) 4.5.

Answer:

(c) 0.5

Question (iii).

The average of decimal number 1.1, 2.1 and 3.1 is :

(a) 2.5

(b) 1.1

(c) 2.1

(d) 6.3.

Answer:

(c) 2.1

7. On dividing a decimal number by 100, the decimal point is shifted to the left by one place. (True/False)

Answer:

False.