Questions with Answers, Solution | Number System | Term 2 Chapter 1 | 7th Maths - Exercise 1.2 (Fractions and Decimals - Conversion) | 7th Maths : Term 2 Unit 1 : Number System
Chapter: 7th Maths : Term 2 Unit 1 : Number System
Exercise 1.2 (Fractions and Decimals - Conversion)
Exercise
1.2
1.
Fill in the following place value table.
Answer:
2.
Write the decimal numbers from the following place value table.
Answer:
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
Answer:
4.
Write each of the following as decimal numbers.
Answer:
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.
Answer:
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
Answer:
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
Answer:
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
Answer: (iv) 3.049
9.
3/5 = _______
(i) 0.06
(ii) 0.006
(iii) 6
(iv) 0.6
Answer: (iv) 0.6
10.
The simplest form of 0.35 is
(i) 35/1000
(ii) 35 /10
(iii) 7 /20
(iv) 7 /100
Answer: (iii) 7 / 20
ANSWERS:
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
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