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How to convert a decimal into percentage?
We will follow the following steps for converting a decimal into a percentage:
Step I: Obtain the number in decimal form.
Step II: Multiply the number in decimal form by 100 and put percent sign (%)
Note: When we multiply the decimal number by 100, then we need to shift the decimal point two places to the right (add zeros if necessary).
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We can also express a decimal as a per cent simply by multiplying it by 100 and writing % to the right of it.
For example:
0.45 = 0.45 × 100%
= (0.45 × 100)%
= 45%
Similarly, 2.37 = 2.37 × 100%
= (2.37 × 100)%
= 237%
and 1.7 = 1.7 × 100%
= (1.7 × 100)%
= 170%
More solved examples on Convert Decimals to Percents:
I. Express each of the following decimal as percent:
(i) 0.8 = 0.8 × 100 % = 80 %
(ii) 1.2 = 1.2 × 100 % = 120 %
(iii) 7.1 = 7.1 × 100 % = 710 %
(iv) 10.1 = 10.1 ×
100 % = 1010 %
(v) 31.3 = 31.3 × 100 % = 3130 %
(vi) 123.7 = 123.7 × 100 % = 12370 %
(vii) 101.9 = 101.9 × 100 % = 10190 %
II. Conversion of decimal into percent:
(i) 0.29 = 0.29 × 100 % = 29 %
(ii) 0.25 = 0.25 × 100 % = 25 %
(iii) 0.01 = 0.01 × 100 % = 1 %
(iv) 0.51 = 0.51 × 100 % = 51 %
(v) 13.01 = 13.01 × 100 % = 1301 %
(vi) 201.17 = 201.17 × 100 % = 20117 %
(vii) 100.11 = 100.11 × 100 % = 10011 %
III. Convert the following decimal into a percentage:
(i) 0.083 = 0.083 × 100 % = 8.3 %
(ii) 0.225 = 0.225 × 100 % = 22.5 %
(iii) 0.001 = 0.001 × 100 % = 0.1 %
(iv) 0.003 = 0.003 × 100% = 0.3 %
(v) 0.107 = 0.107 × 100 % = 10.7 %
(vi) 1.037 = 1.037 × 100 % = 103.7 %
(vii) 21.275 = 21.275 × 100 % = 2127.5 %
Note: Decimals shifts by 2 places to the right.
To convert a decimal into a percent, we multiply the given decimal by 100 and add the percent symbol after the product.
IV. Express 0.17 as a percent
Solution:
We first convert the decimal number into a fraction.
0.17 = 17100
= 17 out of 100
= 17%
To express a decimal as a per cent, first we convert the decimal into a fraction and then proceed as usual.
Let us consider some examples.
V. Express 1.25 as percent.
Solution:
1.25 = 125100
= 125 × 1100
= 125%
VI. Express 2.34 as a percent.
Solution:
2.34 = 234100
= 234 × 1100
= 234%
Questions and Answers on Decimal into Percentage:
I. Convert the following decimals to percentage.
(i) 0.5
(ii) 0.21
(iii) 0.08
(iv) 1.23
(v) 0.09
(vi) 0.65
Answers:
I. (i) 50%
(ii) 21%
(iii) 8%
(iv) 123%
(v) 9%
(vi) 65%
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