The DAV Maths Book Class 5 Solutions and **DAV Class 5 Maths Chapter 7 Worksheet 2** Solutions of Multiplication and Division of Decimal Numbers offer comprehensive answers to textbook questions.

## DAV Class 5 Maths Ch 7 Worksheet 2 Solutions

Question 1.

Find the product of the following:

(a) 0.2 × 0.3

Solution:

0.2 × 0.3

0.2 = \(\frac{2}{10}\)

0. 3 = \(\frac{3}{10}\)

Now, 0.2 × 0.3 = \(\frac{2}{10} \times \frac{3}{10}\)

= \(\frac{6}{100}\)

= 0.06

(b) 0.5 × 0.4

Solution:

0.5 × 0.4

0.5 = \(\frac{5}{10}\)

0.4 = \(\frac{4}{10}\)

Now, 0.5 × 0.4 = \(\frac{5}{10} \times \frac{4}{10}\)

= \(\frac{20}{100}\)

= 0.20

(c) 3.1 × 0.04

Solution:

3.1 × 0.04

3.1 = \(\frac{3}{10}\)

0.04 = \(\frac{4}{100}\)

Now, 3.1 × 0.04 = \(\frac{31}{10} \times \frac{4}{100}\)

= \(\frac{124}{1000}\)

= 0.124

(d) 8.1 × 5.3

Solution:

8.1 × 5.3

8.1 = \(\frac{8}{10}\)

5.3 = \(\frac{53}{10}\)

Now, 8.1 × 5.3 = \(\frac{81}{10} \times \frac{53}{10}\)

= \(\frac{4293}{100}\)

= 42.93

(e) 3.4 × 23.6

Solution:

3.4 × 23.6

3.4 = \(\frac{34}{10}\)

23.6 = \(\frac{236}{10}\)

Now, 3.4 × 23.6 = \(\frac{34}{10} \times \frac{236}{10}\)

= \(\frac{8024}{100}\)

= 80.24

(f) 10.15 × 10.04

Solution:

10.15 × 10.04

10.15 = \(\frac{1015}{100}\)

10.04 = \(\frac{1004}{100}\)

Now 10.15 × 10.04 = \(\frac{1015}{100} \times \frac{1004}{100}\)

= \(\frac{1019060}{10000}\)

= 101.9060

(g) 8.24 × 19.7

Solution:

8.24 × 19.7

8.24 = \(\frac{824}{100}\)

19.7 = \(\frac{197}{10}\)

Now, 8.24 × 19.7 = \(\frac{824}{100} \times \frac{197}{10}\)

= \(\frac{162328}{1000}\)

= 162.328

(h) 13.62 × 35.1

Solution:

13.62 × 35.1

13.62 = \(\frac{1362}{100}\)

35.1 = \(\frac{351}{10}\)

Now 13.62 × 35.1 = \(\frac{1362}{100} \times \frac{351}{10}\)

= \(\frac{478062}{1000}\)

= 478.062

(i) 10.05 × 0.6

Solution:

10.05 × 0.6

10.05 = \(\frac{1005}{100}\)

0.6 = \(\frac{6}{10}\)

Now, 10.5 × 0.6 = \(\frac{1005}{100} \times \frac{6}{10}\)

= \(\frac{6030}{1000}\)

= 6.030

Question 2.

If 1,135 × 72 = 81,720, find the value of:

(a) 113.5 × 7.2

Solution:

113.5 × 7.2 = 817.20

(Sum of decimal places in multiplicand and multiplier)

(b) 11.35 × 7.2

Solution:

11.35 × 7.2 = 81.720

(Sum of decimal places in multiplicand and multiplier)

(c) 11.35 × 0.72

Solution:

11.35 × 0.72 = 8.1720

(Sum of decimal places in multiplicand and multiplier)

(d) 1.135 × 7.2

Solution:

1.135 × 7.2 = 8.1720

(Sum of decimal places in multiplicand and multiplier)

(e) 1.135 × 0.72

Solution:

1.135 × 0.72 = 0.81720

(Sum of decimal places in multiplicand and multiplier)

(f) 0.1135 × 0.72

Solution:

0.1135 × 0.72 = 0.081720

(Sum of decimal places in multiplicand and multiplier)

Word Problem

Example:

Multiply 3.2 by 0.76

Solution:

3.2 = \(\frac{32}{10}\)

0.76 = \(\frac{76}{100}\)

Now, 3.2 × 0.76 = \(\frac{32}{10} \times \frac{76}{100}\)

= \(\frac{2432}{1000}\)

= 2.432