How to Multiply Decimals with Each other

Math is all about fun. It is a very easy task to multiply with decimals on your own, without using any calculator. If you are facing problems and do not know that how to multiply with decimals, then we are here to brief you about this.

Steps to multiply any number with decimal

Follow the following steps to solve your issue of multiplying with decimals;

  • Just multiply both numbers with each other by ignoring the decimal point in them.
  • After multiplication, you will get the answer and put the decimal point as the two original numbers combined have in them.

Example 1:-

Suppose you have two numbers: 2.223 and 4.5 and you have to apply multiplication operation on them then you will do the following method:

0.07*2.2 = 0.154

  • Multiply 7 with 22.
  • 0.07 has two decimal places, and 2.2 has one.
  • So after combining they will become 3 decimal places.
  • Put these 3 decimal places in your answer and you are done with your multiplication.
  • You can also write it as “1.54’’ because the highest decimal place is two.

Example 2:-

Suppose you have two numbers: 1.1 and 2.2 and you have to apply multiplication operation on them then you will do the following method:

1.1*2.2 = 2.42

  • There is another thing that the highest number of decimal place is one so put the decimal point after one number in your answer.

You can also follow the following procedure:-

  • Multiply 11 with 22.
  • 1.1 has one decimal place, and 2.2 has one.
  • So after combining they will become 2 decimal places.
  • Put these 2 decimal places in your answer and you are done with your multiplication.

In this method, you will learn that how to put the decimal point after checking the total numbers of the decimal place in the given two numbers.

Example 3:-

Let the given numbers are 9.6 and 54.1 then follow the following method to multiply the decimals:

    Ignore the decimals points.

    Operate 96*541

    Answer = 51936

Now 54.1 has two decimal places, and 9.6 has one so put 3 decimal places in your answer too?

    9.6*54.1 = 519.36

How to Multiply Decimals by Whole Numbers

If you got the idea of above examples that how to multiply decimals, then you can easily understand that how to multiply decimals by whole numbers, as this method is same as above:

Example 4:-

400 is a whole number, and 22.7 is a decimal number, now let us see that how to multiply them:

  • Multiply 400 with 227 by ignoring the decimal point and you will get 90800.
  • Now 22.7 has two decimal places so put it in the answer.
  • You will get 90.800.
  • You are done!

Example 5:-

200 is a whole number, and 33.9 is a decimal number, now let us see that how to multiply them:

  • Multiply 200 with 339 by ignoring the decimal point and you will get 67800.
  • Now 33.9 has two decimal places so put it in the answer.
  • You will get 67.800
  • You are done!

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