### Fractions and Decimals - Solutions 6

CBSE Class –VII Mathematics
NCERT Solutions
Chapter 2 Fractions and Decimals
(Ex. 2.6)

Question 1. Find:
(i) 0.2 x 6
(ii) 8 x 4.6
(iii) 2.71 x 5
(iv) 20.1 x 4
(v) 0.05 x 7
(vi) 211.02 x 4
(vii) 2 x 0.86
Answer: (i) 0.2 x 6 = 1.2
(ii) 8 x 4.6 = 36.8
(iii) 2.71 x 5 = 13.55
(iv) 20.1 x 4 = 80.4
(v) 0.05 x 7 = 0.35
(vi) 211.02 x 4 = 844.08
(vii) 2 x 0.86 = 1.72
Question 2. Find the area of rectangle whose length is 5.7 cm and breadth is 3 cm ?
Answer: Given: Length of rectangle = 5.7 cm and Breadth of rectangle = 3 cm
Area of rectangle = Length x Breadth
= 5.7 x 3 = 17.1$c{m}^{2}$
Thus, the area of rectangle is 17.1 $c{m}^{2}$.
Question 3. Find:
(i) 1.3 x 10
(ii) 36.8 x 10
(iii) 153.7 x 10
(iv) 168.07 x 10
(v) 31.1 x 100
(vi) 156.1 x 100
(vii) 3.62 x 100
(viii) 3.07 x 100
(ix) 0.5 x 10
(x) 0.08 x 10
(xi) 0.9 x 100
(xii) 0.03 x 1000
Answer: (i) 1.3 x 10 = 13.0
(ii) 36.8 x 10 = 368.0
(iii) 153.7 x 10 = 1537.0
(iv) 168.07 x 10 = 1680.7
(v) 31.1 x 100 = 3110.0
(vi) 156.1 x 100 = 15610.0
(vii) 3.62 x 100 = 362.0
(viii) 43.07 x 100 = 4307.0
(ix) 0.5 x 10 = 5.0
(x) 0.08 x 10 = 0.80
(xi) 0.9 x 100 = 90.0
(xii) 0.03 x 1000 = 30.0
Question 4. A two-wheeler covers a distance of 55.3 km in one litre of petrol. How much distance will it cover in 10 litres of petrol?
Answer:  $\because$ In one litre, a two-wheeler covers a distance = 55.3 km
$\therefore$ In 10 litrs, a two- wheeler covers a distance = 55.3 x 10 = 553.0 km
Thus, 553 km distance will be covered by it in 10 litres of petrol.
Question 5. Find:
(i) 2.5 x 0.3
(ii) 0.1 x 51.7
(iii) 0.2 x 316.8
(iv) 1.3 x 3.1
(v) 0.5 x 0.05
(vi) 11.2 x 0.15
(vii) 1.07 x 0.02
(viii) 10.05 x 1.05
(ix) 101.01 x 0.01
(x) 100.01 x 1.1
Answer: (i) 2.5 x 0.3 = 0.75
(ii) 0.1 x 51.7 = 5.17
(iii) 0.2 x 316.8 = 63.36
(iv) 1.3 x 3.1 = 4.03
(v) 0.5 x 0.05 = 0.025
(vi) 11.2 x 0.15 = 1.680
(vii) 1.07 x 0.02 = 0.0214
(viii) 10.05 x 1.05 = 10.5525
(ix) 101.01 x 0.01 = 1.0101
(x) 100.01 x 1.1 = 110.11