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.