# PSEB 7th Class Maths Solutions Chapter 2 Fractions and Decimals Ex 2.6

Punjab State Board PSEB 7th Class Maths Book Solutions Chapter 2 Fractions and Decimals Ex 2.6 Textbook Exercise Questions and Answers.

## PSEB Solutions for Class 7 Maths Chapter 2 Fractions and Decimals Ex 2.6

1. Find the product of each of the following:

Question (i).
1.31 × 10
1.31 × 10
= $$\frac {131}{100}$$ × 10
= $$\frac {131}{10}$$
= 13.1

Question (ii).
1.31 × 10
25.7 × 10
= $$\frac {257}{10}$$ × 10
= 257

Question (iii).
1.01 × 100
1.01 × 100
= $$\frac {101}{100}$$ × 100
= 101

Question (iv).
0.45 × 100
0.45 × 100
= $$\frac {45}{100}$$ × 100
= 45 Question (v).
9.7 × 100
9.7 × 100
= $$\frac {97}{10}$$ × 100
= 970

Question (vi).
3.87 × 10
3.87 × 10
= $$\frac {387}{100}$$ × 100
= $$\frac {387}{10}$$
= 38.7

Question (vii).
0.07 × 10
0.07 × 10
= $$\frac {7}{100}$$ × 10
= $$\frac {7}{100}$$
= 0.70

Question (viii).
0.3 × 100
0.3 × 100
= $$\frac {3}{10}$$ × 100
= 30

Question (ix).
5.37 × 1000
5.37 × 1000
= $$\frac {537}{10}$$ × 100
= 53700

Question (x).
0.02 × 1000
0.02 × 1000
= $$\frac {2}{100}$$ × 100
= 20 2. Find the product of each of the following :

Question (i).
1.5 × 3
1.5 × 3 = $$\frac {15}{10}$$ × 3
= $$\frac {45}{10}$$
= 4.5

Question (ii).
2.71 × 12
2.71 × 12 = $$\frac {271}{100}$$ × 12
= $$\frac {3252}{100}$$
= 32.52

Question (iii).
7.05 × 4
7.05 × 4 = $$\frac {705}{100}$$ × 4
= $$\frac {2820}{100}$$
= 28.2

Question (iv).
0.05 × 12
0.05 × 12 = $$\frac {5}{100}$$ × 12
= $$\frac {60}{100}$$
= 0.6 Question (v).
112.03 × 8
112.03 × 8 = $$\frac {89624}{100}$$ × 8
= 896.24

Question (vi).
3 × 7.53
3 × 7.53 = 3 × $$\frac {753}{100}$$
= $$\frac {2259}{100}$$
= 22.59

3. Evaluate the following :

Question (i).
3.7 × 0.4
3.7 × 0.4 = $$\frac{37}{10} \times \frac{4}{10}$$
= $$\frac {148}{100}$$
= 1.48

Question (ii).
2.75 × 1.1
2.75 × 1.1 = $$\frac{275}{100} \times \frac{11}{10}$$
= $$\frac {3025}{1000}$$

Question (iii).
0.07 × 1.9
0.07 × 1.9 = $$\frac{7}{100} \times \frac{19}{10}$$
= $$\frac {133}{1000}$$
= 0.133 Question (iv).
0.5 × 31.83
0.5 × 31.83 = $$\frac{5}{10} \times \frac{3183}{100}$$
= $$\frac {15915}{1000}$$
= 15.915

Question (v).
7.5 × 5.7
7.5 × 5.7 = $$\frac{75}{10} \times \frac{57}{10}$$
= $$\frac {4275}{100}$$
= 42.75

Question (vi).
10.02 × 1.02
10.02 × 1.02 = $$\frac{1002}{100} \times \frac{102}{100}$$
= $$\frac {102240}{10000}$$
= 10.2204

Question (vii).
0.08 × 0.53
0.08 × 0.53 = $$\frac{8}{10} \times \frac{53}{100}$$
= $$\frac {424}{10000}$$
= 0.0424

Question (viii).
21.12 × 1.21
21.12 × 1.21 = $$\frac{2112}{100} \times \frac{121}{100}$$
= $$\frac {255552}{10000}$$
= 25.5552

Question (ix).
1.06 × 0.04
1.06 × 0.04 = $$\frac{106}{100} \times \frac{4}{100}$$
= $$\frac {424}{1000}$$
= 0.0424 4. A piece of wire is divided into 15 equal parts. If length of one part is 2.03 m, then find the total length of the wire.
Length of one part = 2.03 m
Length of 15 parts = 15 × 2.03 m
= 30.45 m

5. The cost of 1 metre cloth is ₹ 75.80. Find the cost of 4.75 metre cloth.
Cost of 1 metre cloth = ₹ 75.80
Cost of 4.75 metre cloth = ₹ 75.80 × 4.75
= ₹ 360.05

6. Multiple choice questions :

Question (i).
1.25 × 10 = ?
(a) 0.125
(b) 125
(c) 12.5
(d) 1.25
(c) 12.5

Question (ii).
If x × 100 = 135.72 then value of x is equal to
(a) 13.572
(b) 1.3572
(c) 135.72
(d) 13572.
(b) 1.3572

Question (iii).
The value of 1.5 × 8 is :
(a) 1.2
(b) 120
(c) 12
(d) 0.12.
(c) 12 7.
Question (i).
The product of a decimal number and zero is always zero. (True/False)