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
Choose the correct option. | |||
| Right Option : C | |||
| View Explanation | |||
Which number is equal to: | |||
| Right Option : A | |||
| View Explanation | |||
Students / Parents Reviews [20]
Abhyas institute is one of the best coaching institute in the vicinity of Ambala cantt.The institute provides good and quality education to the students.The teachers are well experienced and are very helpful in solving the problems. The major advantages of the institute is extra classes for weak...
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8thAbhyas institute is one of the best coaching institute in the vicinity of Ambala Cantt area. The teachers of the institute are well experienced and very helpful in solving the problems of the students.The good thing of the institute is that it is providing extra classes for the students who are w...
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