question on decimals. for class 7
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question on decimals. for class 7
Answer:
1. Write each of the following as decimals:
(i) (8/100)
(ii) 20 + (9/10) + (4/100)
(iii) 23 + (2/10) + (6/1000)
Solution:
(i) Given (8/100)
Mark the decimal point two places from right to left
(8/100) = 0.08
(ii) Given 20 + (9/10) + (4/100)
First, convert the fractions (9/10) and (4/100) to decimals
Consider (9/10)
Mark the decimal point one place from right to left
(9/10) = 0.9
Now consider (4/100)
Mark the decimal point two places from right to left
(4/100) = 0.04
20 + (9/10) + (4/100) = 20 + 0.9 + 0.04
= 20.94
(iii) Given 23 + (2/10) + (6/1000)
First, convert the fractions (2/10) and (6/1000) to decimals
Consider (2/10)
Mark the decimal point one place from right to left
(2/10) = 0.2
Now consider (6/1000)
Mark the decimal point three places from right to left
(6/1000) = 0.006
23 + (2/10) + (6/1000) = 23 + 0.2 + 0.006
= 23.206
2. Convert each of the following decimals as fractions:
(i) 0.04
(ii) 2.34
(iii) 0.342
(iv) 17.38
Solution:
(i) Given 0.04
Here we have to convert given decimals into fractions
0.04 can be written as (0.04/1)
Now multiply both numerator and denominator by 100 then we get
(0.04/1) = (0.04 × 100 /1 × 100)
= (4/100)
= (1/25)
(ii) Given 2.34
Here we have to convert given decimals into fractions
2.34 can be written as (2.34/1)
Now multiply both numerator and denominator by 100 then we get
(2.34/1) = (2.34 × 100 /1 × 100)
= (234/100)
= (117/50)
(iii) Given 0.342
Here we have to convert given decimals into fractions
0.342 can be written as (0.342/1)
Now multiply both numerator and denominator by 1000 then we get
(0.342/1) = (0.342 × 1000 /1 × 1000)
= (342/1000)
= (171/500)
(iv) Given 17.38
Here we have to convert given decimals into fractions
17.38 can be written as (17.38/1)
Now multiply both numerator and denominator by 100 then we get
(17.38/1) = (17.38 × 100 /1 × 100)
= (1738/100)
= (869/50)
3. Express the following fractions as decimals:
(i) (23/10)
(ii) 25 1/8
(iii) 39 7/35
(iv) 15 1/25
(i) Given (23/10)
Divide 23 by 10 we get
(23/10) = 2.3
(ii) Given
can be written as
= 25 + (1/8)
Consider (1/8),
Now multiply both numerator and denominator by 125 to get 1000 as the denominator
= 25 + (1/8) = 25 + (1 × 125 /8 × 125)
= 25 + (125/1000)
= 25 + 0.125
= 25.125
(iii) Given
First, convert given mixed fraction
into improper fraction
= 1372/35
By dividing we get
= 39.2
(iv) Given
can be written as
= 15 + (1/25)
Consider (1/25),
Now multiply both numerator and denominator by 4 to get 100 as the denominator.
= 15 + (1/25) = 15 + (1 × 4 /25 × 4)
= 15 + (4/100)
= 15 + 0.04
= 15.04
Step-by-step explanation: