We have seen conversion of decimals to percentage. We can also do the reverse process, that is when the percentage is given we can convert them to decimals.

__Converting Percentages to Decimals__

We have seen conversion of decimals to
percentage. We can also do the reverse process, that is when the percentage is given
we can convert them to decimals.

** **

__Example 2.11__

Convert the given percentage
to decimals.

(i) 58% (ii) 8% (iii) 30% (iv) 120% (v) 1.25%

**Solution:**

(i) 58% =58/100 = 0.58

(ii) 8% = 8/100 = 0.08

(iii) 30% = 30/100 = 0.3

(iv) 120% = 120/100 = 1.2

(v) 1.25% = 1.25/100 =
0.0125

From the above examples we see that to
convert percentage to decimals we first convert it into fraction and get the solution.

** **

**Try these**

**Write these percentage as decimals.**

**(i) 3% ( ii) 25****% (iii) 80% ****( iv) 67****%**** (v ) 17.5****% ****( vi )
135****%**** (vii) 0.5%**

**Solution:**

(i) 3% = 3/100 = 0.03

(ii) 25% = 25/100 = 0.25

(iii) 80% = 80/100 = 0.8

(iv) 67% = 67/100 = 0.67

(v) 17.5% = 17.5 / 100 = 0.175

(vi) 135% = 135/100 =
1.35

(vii) 0.5% = 0.5/100 =
0.005

** **

__Example 2.12 __

Malar bought 1.75 *m*** **of fabric from a roll of
25 *m*. Express the fabric bought** **in terms of percentage?

**Solution:**

Total length of the fabric
= 25 m

Length of the fabric bought
= 1.75* m *

Percentage of the fabric
bought = (1.75/25) × (100/100) = 175/ (25/100) = 7/100 = 7%

**Area as Percentage**

Percentages also help us to estimate
the area.

** **

__Example 2.13__

How many per cent in the** ***Fig. 2.3*** **is shaded as blue?

**Solution:**

The fraction in the Fig. 2.3, that is
shaded = 2/4 = 1/2 .

That is half of the Fig. 2.3 is shaded
blue.

So, the percentage of shaded
portion = (1/2) × 100% = 50%

Thus, 50% of the Fig. 2.3
is shaded.

Tags : 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 : Converting Percentages to Decimals | Term 3 Chapter 2 | 7th Maths

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