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

Answer:

1.31 × 10

= \(\frac {131}{100}\) × 10

= \(\frac {131}{10}\)

= 13.1

Question (ii).

1.31 × 10

Answer:

25.7 × 10

= \(\frac {257}{10}\) × 10

= 257

Question (iii).

1.01 × 100

Answer:

1.01 × 100

= \(\frac {101}{100}\) × 100

= 101

Question (iv).

0.45 × 100

Answer:

0.45 × 100

= \(\frac {45}{100}\) × 100

= 45

Question (v).

9.7 × 100

Answer:

9.7 × 100

= \(\frac {97}{10}\) × 100

= 970

Question (vi).

3.87 × 10

Answer:

3.87 × 10

= \(\frac {387}{100}\) × 100

= \(\frac {387}{10}\)

= 38.7

Question (vii).

0.07 × 10

Answer:

0.07 × 10

= \(\frac {7}{100}\) × 10

= \(\frac {7}{100}\)

= 0.70

Question (viii).

0.3 × 100

Answer:

0.3 × 100

= \(\frac {3}{10}\) × 100

= 30

Question (ix).

5.37 × 1000

Answer:

5.37 × 1000

= \(\frac {537}{10}\) × 100

= 53700

Question (x).

0.02 × 1000

Answer:

0.02 × 1000

= \(\frac {2}{100}\) × 100

= 20

2. Find the product of each of the following :

Question (i).

1.5 × 3

Answer:

1.5 × 3 = \(\frac {15}{10}\) × 3

= \(\frac {45}{10}\)

= 4.5

Question (ii).

2.71 × 12

Answer:

2.71 × 12 = \(\frac {271}{100}\) × 12

= \(\frac {3252}{100}\)

= 32.52

Question (iii).

7.05 × 4

Answer:

7.05 × 4 = \(\frac {705}{100}\) × 4

= \(\frac {2820}{100}\)

= 28.2

Question (iv).

0.05 × 12

Answer:

0.05 × 12 = \(\frac {5}{100}\) × 12

= \(\frac {60}{100}\)

= 0.6

Question (v).

112.03 × 8

Answer:

112.03 × 8 = \(\frac {89624}{100}\) × 8

= 896.24

Question (vi).

3 × 7.53

Answer:

3 × 7.53 = 3 × \(\frac {753}{100}\)

= \(\frac {2259}{100}\)

= 22.59

3. Evaluate the following :

Question (i).

3.7 × 0.4

Answer:

3.7 × 0.4 = \(\frac{37}{10} \times \frac{4}{10}\)

= \(\frac {148}{100}\)

= 1.48

Question (ii).

2.75 × 1.1

Answer:

2.75 × 1.1 = \(\frac{275}{100} \times \frac{11}{10}\)

= \(\frac {3025}{1000}\)

Question (iii).

0.07 × 1.9

Answer:

0.07 × 1.9 = \(\frac{7}{100} \times \frac{19}{10}\)

= \(\frac {133}{1000}\)

= 0.133

Question (iv).

0.5 × 31.83

Answer:

0.5 × 31.83 = \(\frac{5}{10} \times \frac{3183}{100}\)

= \(\frac {15915}{1000}\)

= 15.915

Question (v).

7.5 × 5.7

Answer:

7.5 × 5.7 = \(\frac{75}{10} \times \frac{57}{10}\)

= \(\frac {4275}{100}\)

= 42.75

Question (vi).

10.02 × 1.02

Answer:

10.02 × 1.02 = \(\frac{1002}{100} \times \frac{102}{100}\)

= \(\frac {102240}{10000}\)

= 10.2204

Question (vii).

0.08 × 0.53

Answer:

0.08 × 0.53 = \(\frac{8}{10} \times \frac{53}{100}\)

= \(\frac {424}{10000}\)

= 0.0424

Question (viii).

21.12 × 1.21

Answer:

21.12 × 1.21 = \(\frac{2112}{100} \times \frac{121}{100}\)

= \(\frac {255552}{10000}\)

= 25.5552

Question (ix).

1.06 × 0.04

Answer:

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.

Answer:

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.

Answer:

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

Answer:

(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.

Answer:

(b) 1.3572

Question (iii).

The value of 1.5 × 8 is :

(a) 1.2

(b) 120

(c) 12

(d) 0.12.

Answer:

(c) 12

7.

Question (i).

The product of a decimal number and zero is always zero. (True/False)

Answer:

True

Question (ii).

On multiplying a decimal number by 10, the decimal point is shifted to the left by one place. (True/False)

Answer:

False.