DAV Class 5 Maths Chapter 7 Worksheet 2 Solutions

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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

DAV Class 5 Maths Chapter 7 Worksheet 2 Solutions

(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

DAV Class 5 Maths Chapter 7 Worksheet 2 Solutions

(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

DAV Class 5 Maths Chapter 7 Worksheet 2 Solutions

(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)

DAV Class 5 Maths Chapter 7 Worksheet 2 Solutions

(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