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 [10]
It was good as the experience because as we had come here we had been improved in a such envirnment created here.Extra is taught which is beneficial for future.
Eshan Arora
8thMy experience with Abhyas academy is very good. I did not think that my every subject coming here will be so strong. The main thing is that the online tests had made me learn here more things.
Hiya Gupta
8thIt has a great methodology. Students here can get analysis to their test quickly.We can learn easily through PPTs and the testing methods are good. We know that where we have to practice
Barkha Arora
10thMy experience with Abhyas is very good. I have learnt many things here like vedic maths and reasoning also. Teachers here first take our doubts and then there are assignments to verify our weak points.
Shivam Rana
7thOne of the best institutes to develope a child interest in studies.Provides SST and English knowledge also unlike other institutes. Teachers are co operative and friendly online tests andPPT develope practical knowledge also.
Aman Kumar Shrivastava
10thMy experience was very good with Abhyas academy. I am studying here from 6th class and I am satisfied by its results in my life. I improved a lot here ahead of school syllabus.
Ayan Ghosh
8thIt was a good experience with Abhyas Academy. I even faced problems in starting but slowly and steadily overcomed. Especially reasoning classes helped me a lot.
Cheshta
10thAbhyas is a complete education Institute. Here extreme care is taken by teacher with the help of regular exam. Extra classes also conducted by the institute, if the student is weak.
Om Umang
10thA marvelous experience with Abhyas. I am glad to share that my ward has achieved more than enough at the Ambala ABHYAS centre. Years have passed on and more and more he has gained. May the centre flourish and develop day by day by the grace of God.
Archit Segal
7thI have spent a wonderful time in Abhyas academy. It has made my reasoning more apt, English more stronger and Maths an interesting subject for me. It has given me a habbit of self studying
