Evaluate `1.0698 -: 0.001`

(1) Using long division -- the divisor is 0.001, and the dividend is 1.0698

To use long division, it is usually simplest to make the divisor a whole number. In order to do this, you move the decimal point right as many times as needed ( this is equivalent to multiplying by a power of 10). In order to do this, you must also move the decimal point of the dividend the same number of places to the right.

To make 0.001 a whole number, move the decimal 3 places to the right. Then you must also move the decimal of the dividend 3 places to the right yielding 1069.8

The long division is then :

----------

0.001| 1.0698 ==> which then becomes:

1069.8

-----------

1|1069.8

**And the quotient is 1069.8**

(2) If you recognize 0.001 as a power of 10 there is an easier method. Multiply divisor and dividend by the power of 10 needed to make the divisor 1; in this case multiply both by 1000 (moving the decimal 3 places to the right) giving the same answer.

> To determine the quotient, perform long division.

`0.001 |bar( 1.0698 )`

> Note that in long division, the divisor should be a whole number. So move the decimal point of the divisor three places to the right.

`0.001` becomes `0001` or `1`

Since, we moved the decimal point in the divisor three places to the right, do the same to the dividend.

`1.0698` becomes `1069.8`

> Then, we have:

`1 |bar(1069.8)`

> Divide.

`1069.8`

`1` `|bar(1069.8) `

`-` `1`

`------`

`00`

`-` `0`

` ------`

`06`

`-` `6`

`------`

`09`

`-` `9`

`-------`

`08`

`-` `8`

`-------`

`0`

**Hence, `1.0698 -:0.001 = 1069.8` .**