7th Maths : Term 3 Unit 2 : Percentage and Simple Interest : Converting Decimals to Percentage, Converting Percentages to Decimals : Exercise 2.2 : Text Book Back Exercises Questions with Answers, Solution

**Exercise
2.2**

**1. Write each of the following percentage as decimal.
**

**(i) 21% (ii) 93.1% (iii) 151% (iv) 65% (v) 0.64%.**

**Solution: **

**(i) **21% = 21 / 100 = 0.21

** (ii) **93.1% = 93.1 / 100
= 0.931

** (iii) **151% = 151 / 100 = 1.51

** (iv) **65% = 65 / 100 =
0.65

** (v)** 0.64% = 0.64 / 100** **= 0.0064

** **

**2. Convert each of the following decimal as percentage
**

**(i) 0.282 (ii) 1.51 (iii) 1.09 (iv) 0.71 (v) 0.858**

**Solution:**

**(i)** 0.282 = 0.282 × 100% = [282 / 1000] × 100% = 28.2%

**(ii)** 1.51 = [151 / 100] × 100% = 151%

**(iii) **1.09 = [ 109 / 100 ] × 100% = 109%

**(iv)** 0.71 = [ 71 / 100 ] × 100% = 71%

**(v)** 0.858 = [ 858 / 1000 ] × 100% = 85.8%

** **

**3. In an examination a student scored
75% of marks. Represent the given percentage in decimal form?**

**Solution: **Student's Score = 75% = 75/100 = 0.75

** **

**4. In a village 70.5% people are literate.
Express it as a decimal.**

** Solution: **Percentage
of literate people = 70.5% = 70.5/100 = 0.705

** **

**5. Scoring rate of a batsman is 86%.
Write his strike rate as decimal.**

**Solution: **Scoring rate of the batsman = 86% = 86/100 = 0.86

** **

**6.
The height of a flag pole in a school is 6.75 m. Express it as percentage.**

**Solution: ** Height of flag pole = 6.75m = 675/100 = 6.75%

** **

**7. The weights of two chemical substances
are 20.34 g and 18.78 g. Write the difference in percentage.**

**Solution: ** Weight of substance 1 =
20.34g

Percentage of substance 1
= 2034/100 = 2034%

Weight of substance 2 =
18.78g

Percentage of substance 2
= 1878/100 = 1878%

Their difference = 2034 –
1878 = 156%

** **

**8.
Find the percentage of shaded region in the following figure.**

**Solution:**

Total region = 4 parts

Shaded region = 1 part

Fraction of shaded region
= 1/4

Percentage of shaded
region = 1/4 × 100/100 = 1/4 × 100% = 25%

** **

__Objective type Questions__

**9. Decimal value of 142.5% is **

(i) 1.425

(ii) 0.1425

(iii) 142.5

(iv) 14.25

**Solution: **142.5% = 1425/10 % = 1425/10 × 1/100 = 1.425

**[Answer:
(i) 1.425]**

**10. The percentage of 0.005 is **

(i) 0.005%

(ii) 5%

(iii) 0.5%

(iv) 0.05%

**Solution: **0.005 = 5/1000 = (5/1000) × (100/100) = 0.5%

**[Answer:
(ii) 0.5%]**

**11. The percentage of 4.7 is **

(i) 0.47%

(ii) 4.7%

(iii) 47%

(iv) 470%

**Solution : **4.7 = 47 / 10 = 47/10 × 100/100 = 470%

**[Answer:
(iv) 470%]**

__ANSWERS:__

**Exercise 2.2 **

1. (i) 0.21 (ii) 0.931
(iii) 1.51 (iv) 0.65 (v) 0.0064

2. (i) 28.2% (ii)
151 % (iii) 109 % (iv) 71 % (v) 85.8 %

3. 0.75

4. 0.705

5. 0.86

6. 675%

7. 156%

8. 25%

**Objective type questions **

9. 1.425

10. 0.5 %

11. 470 %

Tags : Questions with Answers, Solution | Term 3 Chapter 2 | 7th Maths , 7th Maths : Term 3 Unit 2 : Percentage and Simple Interest

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7th Maths : Term 3 Unit 2 : Percentage and Simple Interest : Exercise 2.2 (Converting Decimals to Percentage, Percentages to Decimals) | Questions with Answers, Solution | Term 3 Chapter 2 | 7th Maths

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