`Remark : If the digit at the beginning place of recurring point in the number from which`

deduction to be made is smaller than that of the digit in the number 1 is to be subtracted

from the extreme right hand digit of the result of subtraction.

Note : In order to make the conception clear why 1 is subtracted, subtraction is done in

another method as shown below :

8 24 3 = 8 243 43434 | 34

5 246 73 = 5 246 73673 | 67

`2 996 69760 | 67`

The required difference is 2 996 69760 | 67

Here both the differences are the same.

Example 17. Subtract 16 4 37 from 24 456 45 .

Solution :

24 456 45 = 24 456 45

16 4 37 = 16 437 43

8 01902

1

`[7 is subtracted from 6.1 is to be carried`

over.]

8 019 01

The required difference is 8. 019 01

Note :

24 456 45 = 24 456 45 | 64

16 4 37 = 16 437 43 | 74

8 019 01 | 90

`Activity : Subtract : 1. 10418 from 13 127 84 2. 9 126 45 from 23 039 4 `

Multiplication and Division of Recurring Decimals :

onverting recurring decimals into simple fraction and completing the process of their C

multiplication or division, the simple fraction thus obtained when expressed into a decimal

fraction will be the product or quotient of the recurring decimals. In the process of

multiplication or division amongst terminating and recurring decimals the same method is to

be applied. But in case of making division easier if both the divident and the divisior are of

recurring decimals, we should convert them into similar recurring decimals.

Example 18. Multiply 4 3 by 5 7 .