- Books Name
- CBSE Class 7 Mathematics Book
- Publication
- Param Publication
- Course
- CBSE Class 7
- Subject
- Mathmatics
Divisions of Decimals
1. Division of a decimal number by factors of 10
Rule: On dividing a decimal number by 10 or its factors, the decimal point is shifted towards left by as many places as are zeroes followed by 1.
For example, 12.75 ÷10 = 1.275 (decimal point is shifted towards left by 1 decimal place as there is 1 zero after 1 in 10.)
For example, 12480.03 ÷ 1000 = 12.48003 (decimal point is shifted towards left by 3 decimal place as there are 3 zeroes followed by 1.
Division of a decimal number by a whole number
Step - 1: Perform the division by considering the dividend (the decimal number to be divided) as a whole number.
Step - 2: The decimal would be placed in the quoteint once the whole number part of the dividend is complete. Continue the division as in case of whole numbers.
Remark: On dividing the decimal number of a whole number, we can place as many zeroes to the right end of the decimal point of the interval as required to make the remainder zero.
2. Division of a decimal by a decimal:
Step-1: First convert the divisor into a whole number by multiplying the dividend and divisor by suitable factor of 10.
Step-2: Follow the rules of divisions as discussed earlier
Illustration 1
The cost of 28 toys of the same kind is Rs 3462.20. Find the cost of each toy.
Solution
Cost of 28 toys = Rs 3462.20.
Cost of 1 toy = Rs (3462.20 ÷ 28)
Illustration 2
The product of two decimals is 1.5008 . If one of them is 0.56, find the other.
Solution
Product of given decimals = 1.5008; One decimal = 0.56.