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# Exercise 1.2 (Fractions and Decimals - Conversion)

7th Maths : Term 2 Unit 1 : Number System : 1. Conversion of Fractions to Decimals 2. Conversion of Decimals to Fractions : Exercise 1.2 : Text Book Back Exercises Questions with Answers, Solution

Exercise 1.2

1. Fill in the following place value table.

2. Write the decimal numbers from the following place value table.

3. Write the following decimal numbers in the place value table.

(i) 25.178

(ii) 0.025

(iii) 428.001

(iv) 173.178

(v) 19.54

4. Write each of the following as decimal numbers.

i) 20 + 1 + 2 / 10 +  3 / 100 + 7 / 1000

= 21 + 2 × 1/10 + 3 × (  1/100) + 7 × (1/1000)

= 21237

ii) 3 + 8/10 + 4/100 + 5/1000

= 3 + 8 × 1/10 + 4 × ( 1/100) + 5 × ( 1/1000)

= 3.845

iii) 6 + 0/10 + 0/100 + 9/1000

= 6 + 0 × 1/10 + 0 × 1/100 + 9 × 1/1000

= 6.009

iv) 900 + 50 + 6+ 3/100

= 956 + 0 × 1/10 + 3 × (1/100)

= 95603

v) 6/10 + 3/100 + 1/1000

= 0 + 6 × 1/10 + 3 × (1/100) + 1 × (1/1000)

= 0.631

5. Convert the following fractions into decimal numbers.

i) 3 / 10 = 0.3

ii) 3( 1/2) = 3 + 1/2 = 3 + ([1×5] / [2×5]) = 3 + (5/10) = 3.5

iii) 3 ( 3/5 ) = 3 + (3/5) = 3 + (3 × 2) / (5 × 2) = 3 + (6/10) = 3.6

iv) 3 / 2 = 0 + ( 3×5 / 2×5 ) = 0 + 15/10 = 0 + 1.5 = 1.5

v) 4/5 = 0 + ( 4×2 / 5×2 ) = 0 +  8/10 = 0.8

vi) 99 /100 = 0.99

vii) 3 (19/25) = 3 + ( 19×4 / 25×4 ) = 3 + (76/100) = 3.76

6. Write the following decimals as fractions.

(i) 2.5

(ii) 6.4

(iii) 0.75

i) 2.5

2.5 = 25 / 10

ii) 6.4

6.4 = 64 / 10

iii) 0.75

0.75 = 75 / 100

7. Express the following decimals as fractions in lowest form.

(i) 2.34

(ii) 0.18

(iii) 3.56

i) 2.34

= 2 + ( 34÷2 / 100–2 ) = 2 + (17 / 50)

= 2 ( 17 / 50 ) = 117 / 50

ii) 0.18

= 18 ÷2  /  100–2 = 9 / 50

= 9 / 50

iii) 3.56

= 3 + (56 ÷ 4 / 100 – 4 ) = 3 + ( 14 / 25)

= 3 (14 / 25) = 89 / 25

Objective type questions

8. 3 + (4/100) + (9/1000) = ?

(i) 30.49

(ii) 3049

(iii) 3.0049

(iv) 3.049

9. 3/5 = _______

(i) 0.06

(ii) 0.006

(iii) 6

(iv) 0.6

10. The simplest form of 0.35 is

(i) 35/1000

(ii) 35 /10

(iii) 7 /20

(iv) 7 /100

Exercise 1.2

1. (i) 2 (ii) 7 (iii) 0,3 (iv) 6, 0, 5

2. (i) 801.562 (ii) 932.056 (iii) 47.509 (iv) 503.007 (v) 680.310 (vi) 109.908

3.

4. (i) 21.237 (ii) 3.845 (iii) 6.009 (iv) 956.03 (v) 0.631

5. (i) 0.3 (ii) 3.5 (iii) 3.6 (iv) 1.5   (v) 0.8 (vi) 0.99 (vii) 3.76

6. (i) 25/10 (ii) 64/10 (iii) 75/100

7. (i) 117/50 (ii) 9/50 (iii) 89/25

Objective type questions

8.(iv) 3.049

9.(iv) 0.6

10. (iii) 7/20

Tags : Questions with Answers, Solution | Number System | Term 2 Chapter 1 | 7th Maths , 7th Maths : Term 2 Unit 1 : Number System
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7th Maths : Term 2 Unit 1 : Number System : Exercise 1.2 (Fractions and Decimals - Conversion) | Questions with Answers, Solution | Number System | Term 2 Chapter 1 | 7th Maths