Simplification of Decimals
Simplification of Decimals
Simplification of Decimals: To simplify an expression containing symbols such as +, -, X, / and brackets we will follow the rule of BODMAS that is Brackets, Off, Division, Multiplication, Addition and then Subtraction.
Rules to simplify a ratio of decimals
To simplify a ratio of decimals we remove the decimal point and reduce the ratio to a ratio of whole numbers.
We multiply the numerator and denominator of the ratio in fraction form by a 10, 100, 1000 i.e., a power of ten to eliminate the decimal.
Then the fraction is simplified to be in its lowest terms.
This gives simplified ratio of decimals as a ratio of whole numbers in simplest form.
Illustration: Simplify the ratio 4.8:5.6
Solution: To simplify the ratios we will follow the following steps:
Step 2 : We multiply and divide the fraction by 10
Step 3: HCF of 48 and 56 is 8. Simplifying
Step 4: So, the simplified ratio of 4.8:5.6 is 6:7
Illustration 2: Simplify the ratio 6.3:1.89
Solution: To simplify the ratios we will follow the following steps:
Step 2: We multiply and divide the fraction by 100
Step 3: HCF of 630 and 189 is 63. Simplifying
Step 4: So, the simplified ratio of 6.3:1.89 is 10:3
Illustration 3: Simplify the following decimals: 17.709 + 9.001 - 10.02
Solution: According to BODMAS: First do the addition: 17.709 + 9.001 = 26.710 or 26.71
Now do the subtraction 26.71 - 10.02 = 16.69.
Illustration 4: Simplify 1.6 × (0.5 + 0.3)
Solution: First simplify the brackets:0.5 + 0.3 = 0.8
Now multiply 0.16 x 0.8 = 1.28
Which number is equal to: | |||
| Right Option : A | |||
| View Explanation | |||
Choose the correct option. | |||
| Right Option : C | |||
| View Explanation | |||
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