Multiplying Dividing Decimals

Decimal number is nothing but number with base 10. The multiplying decimals is nothing but to multiply the given number considering it as a whole numbers. At the end of calculation put the decimal point into position. For dividing decimals number by which dividing by, must be a whole number.division by 10 or by powers of 10 is easy in a decimal system. Let us see sample problems for multiplying dividing decimals.

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multiplying dividing decimals:

Multiplying decimals:

The multiplying decimals is nothing but to multiply the given number considering it as a whole numbers. At the end of calculation put the decimal point into position.


How to work out the position of the decimal point:


Count up how many figures there are after the decimal point in the question. There must be the SAME number of figures after the decimal point in the answer.


Eg: 6.7 x 2

Write this as            67
x 2
-------------
134
--------------
There is one figure after the decimal point in the question, so there must be only one after the point in the answer.
6.7 x 2 = 13.4

Eg: 30.6 x 0.7

Write this as          306
x 7
-----------------
2142
----------------
There are two figures after the decimal point in the question, from both the numbers, so there must be two after the point in the answer.
30.6 x 0.7 = 21.42

Eg: 2.9 x 0.0351
Write this as            351
x 29
--------------
3159
7020 *
-------------
10179
------------

There are five figures after the decimal point in the question so    2.9 x 0.0351 = 0.10179

multiplying dividing decimals:

Dividing decimals:

Division by powers of 10

Like multiplication, division by 10 or by powers of 10 is easy in a decimal system.


A quick way to divide a decimal number by 10 is to move the decimal point ONE place to the LEFT.

←
Eg 24.185 / 10 = 2.4185

dont forget when we are dividing you are making a number smaller.


←
Eg 0.6 / 10 = 0.06

To divide by 100 move the decimal point TWO places to the left.


←
Eg 32.157 / 100 = 0.32157

←
Eg 0.6 / 100 = 0.06

Dividing decimals:

Eg: `4.48 / 0.4`

Procedure:

The number by which dividing by, must be a whole number. To make this as a whole number we multiply it by 10 or 100 or 1000 or a higher power of 10,  if necessary.

Eg: 0.4 x 10 = 4

Whatever you do to the number you are dividing by, do exactly the same to the number which you are dividing.

Eg: 4.48 x 10 = 44.8

Then do the division, putting the decimal point of the answer directly above the other decimal point when you write out the division.

Eg:                11.2
4 ) 44.8

You don’t have to do anything else. The answer is 11.2

Example: `0.36 / 0.6`

First multiply 0.6 by 10 to make it into a whole number: 6

Then do exactly the same to 0.36: 0.36 x 10 = 3.6

Now divide 3.6 by 6:           0.6
6 ) 3.6
The answer is: 0.6