The document RD Sharma Solutions - Ex-3.3, Decimals, Class 7, Math Class 7 Notes | EduRev is a part of the Class 7 Course RD Sharma Solutions for Class 7 Mathematics.

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**Q1. Divide:**

**(i) 142.45 by 10 (ii) 54.25 by 10 (iii) 3.45 by 10 (iv) 0.57 by 10 (v) 0.043 by 10 (vi) 0.004 by 10**

**Solution.**

**(i) 142.45 by 10**

Shifting the decimal point by one place to the left

**(ii) 54.25 by 10**

Shifting the decimal point by one place to the left

**(iii) 3.45 by 10**

Shifting the decimal point by one place to the left

**(iv) 0.57 by 10**

Shifting the decimal point by one place to the left

**(v) 0.043 by 10**

Shifting the decimal point by one place to the left

**(vi) 0.004 by 10**

Shifting the decimal point by one place to the left

**Q2. Divide:**

**(i) 459.5 by 100 (ii) 74.3 by 100 (iii) 5.8 by 100 (iv) 0.7 by 100 (v) 0.48 by 100 (vi) 0.03 by 100**

**Solution.**

**(i) 459.5 by 100**

Shifting the decimal point by two places to the left

**(ii) 74.3 by 100**

Shifting the decimal point by two places to the left

**(iii) 5.8 by 100**

Shifting the decimal point by two places to the left

**(iv) 0.7 by 100**

Shifting the decimal point by two places to the left

**(v) 0.48 by 100**

Shifting the decimal point by two places to the left

**(vi) 0.03 by 100**

Shifting the decimal point by two places to the left

**Q3. Divide:**

**(i) 235.41 by 1000 (ii) 29.5 by 1000 (iii) 3.8 by 1000 (iv) 0.7 by 1000**

**Solution.**

**(i) 235.41 by 1000**

Shifting the decimal point by three places to the left

**(ii) 29.5 by 1000**

**(iii) 3.8 by 1000**

Shifting the decimal point by three places to the left

**(iv) 0.7 by 1000**

Shifting the decimal point by three places to the left

**Q4. Divide:**

**(i) 0.45 by 9 (ii) 217.44 by 18 (iii) 319.2 by 2.28 (iv) 40.32 by 9.6 (v) 0.765 by 0.9 (vi) 0.768 by 1.6**

**Solution.**

**(i) 0.45 by 9**

**(ii) 217.44 by 18**

**(iii) 319.2 by 2.28**

**(iv) 40.32 by 9.6**

= 4.2

** ****(v) 0.765 by 0.9**

= 0.85

**(vi) 0.768 by 1.6**

= 0.48

**Q5. Divide:**

**(i) 16.64 by 20 (ii) 0.192 by 12**

(iv) 403.2 by 96

(v) 16.344 by 12

(vi) 31.92 by 228

**Solution.**

**(i) 16.64 by 20**

= 0.832

**(ii) 0.192 by 12**

= 0.016

**(iii) 163.44 by 24**

= 6.81

**(iv) 403.2 by 96**

= 4.2

**(v) 16.344 by 12**

= 1.362

**(vi) 31.92 by 228**

= 0.14

**Q6. Divide:**

**(i) 15.68 by 20 (ii) 164.6 by 200 (iii) 403.80 by 30**

**Solution.**

**(i) 15.68 by 20 **

= 0.784

**(ii) 164.6 by 200**

= 0.823

**(iii) 403.80 by 30**

= 13.46

**Q7. Divide:**

**(i) 76 by 0.019 (ii) 88 by 0.08 (iii) 148 by 0.074 (iv) 7 by 0.014**

**Solution.**

**(i) 76 by 0.019**

=4000

**(ii) 88 by 0.08**

=1100

**(iii) 148 by 0.074**

= 2000

**(iv) 7 by 0.014**

**Q8. Divide:**

**(i) 20 by 50 (ii) 8 by 100 (iii) 72 by 576 (iv) 144 by 15**

**Solution.**

**(i) 20 by 50**

**(ii) 8 by 100**

By shifting the decimal point to the left

=0.08

**(iii) 72 by 576**

**(iv) 144 by 15**

= 9.6

**Q9. A vehicle covers a distance of 43.2 km in 2.4 litres of petrol. How much distance will it travel in 1 litre of petrol?**

**Solution.**

Distance covered in 2.4 litres of petrol = 43.2km

Distance covered in 1 litre of petrol = 43.2/2.4

= 18km

The distance travelled in 1 litre of petrol is 18 km

**Q10. The total weight of some bags of wheat is 1743 kg. If each bag weights 49.8 kg, how many bags are there?**

**Solution.**

Total weight of bags of wheat = 1743kg

Each bag weight = 49.8kg

Therefore the total numbers of bags are 35

**Q11. Shikha cuts 50 m of cloth into pieces of 1.25 m each. How many pieces does she get?**

**Solution.**

Total length of cloth = 50m

Length of each piece of cloth = 1.25m

Therefore Shikha got 40 pieces

**Q12. Each side of a rectangular polygon is 2.5 cm in length. The perimeter of the polygon is 12.5 cm. How many sides does the polygon have?**

**Solution.**

Length of each side of rectangular polygon = 5.2cm

Perimeter of polygon = 12.5cm

No of sides polygon has = 12.5cm

No of sides polygon have = 12.5/2.5

= 5

Therefore the sides of the polygon is 5

**Q13. The product of two decimals is 42.987. If one of them is 12.46, find the other.**

**Solution.**

We have,

The product of the given decimals = 42.987

one decimal = 12.46

The other decimal

= 3.45

The number is 3.45

**Q14. The weight of 34 bags of sugar is 3483.3 kg. If all bags weigh equally, find the weight of each bag.**

**Solution.**

Total weight of sugar = 3483.3kg

No of bags = 34

Weight of each bag

= 102.45kg

Therefore weight of each bag is 102.45kg

**Q15. How many buckets of equal capacity can be filled from 586.5 litres of water, if each bucket has capacity of 8.5 litres?**

**Solution.**

Capacity of each bucket = 805 litres

Total water available = 586.5litres

= 69

Total number of buckets is 69