Multiplication of Decimals

We will discuss here about the multiplication of decimals. To multiply a decimal by a whole number, first we multiply as usual without considering decimal point. Then we put the decimal point in the product at the same place where it is placed in the given decimal.


Let us consider some of the following examples on multiplying decimals.

1. Multiply: 7.32 by 12.

  7  .  3  2

    ×  1  2

 1  4  6  4

 7  3  2  0

 8  7 . 8  4

The decimal point in decimal 7.32 is after two digits from the extreme right. So, we place the decimal point in the product just after two digits from the extreme right.

So, the product of 7.32 and 12 is 87.84.


2. Multiply the following:

(i) 12.345 by 8

1  2  .  3  4  5

              × 8

9  8  .  7  6  0

Decimals are multiplied in the same way as we multiply ordinary numbers. We place the digits in columns and then multiply as usual.

The decimal point in decimal 12.345 is after three digits from the extreme right. So, we place the decimal point in the product just after three digits from the extreme right.

So, the product of 12.345 and 8 is 98.760

 

(ii) 25.381 by 6

   2  5  .  3  8  1

                 × 6

1  5  2  .  2  8  6

The decimal point in decimal 25.381 is after three digits from the extreme right. So, we place the decimal point in the product just after three digits from the extreme right.

So, the product of 25.381 and 6 is 152.286.







4th Grade Math Activities

From Multiplication of Decimals to HOME PAGE




Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.



New! Comments

Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.

Share this page: What’s this?

Recent Articles

  1. Successor and Predecessor | Successor of a Whole Number | Predecessor

    May 24, 24 06:42 PM

    Successor and Predecessor of a Whole Number
    The number that comes just before a number is called the predecessor. So, the predecessor of a given number is 1 less than the given number. Successor of a given number is 1 more than the given number…

    Read More

  2. Counting Natural Numbers | Definition of Natural Numbers | Counting

    May 24, 24 06:23 PM

    Natural numbers are all the numbers from 1 onwards, i.e., 1, 2, 3, 4, 5, …... and are used for counting. We know since our childhood we are using numbers 1, 2, 3, 4, 5, 6, ………..

    Read More

  3. Whole Numbers | Definition of Whole Numbers | Smallest Whole Number

    May 24, 24 06:22 PM

    The whole numbers are the counting numbers including 0. We have seen that the numbers 1, 2, 3, 4, 5, 6……. etc. are natural numbers. These natural numbers along with the number zero

    Read More

  4. Math Questions Answers | Solved Math Questions and Answers | Free Math

    May 24, 24 05:37 PM

    Math Questions Answers
    In math questions answers each questions are solved with explanation. The questions are based from different topics. Care has been taken to solve the questions in such a way that students

    Read More

  5. Estimating Sum and Difference | Reasonable Estimate | Procedure | Math

    May 24, 24 05:09 PM

    Estimating Sum or Difference
    The procedure of estimating sum and difference are in the following examples. Example 1: Estimate the sum 5290 + 17986 by estimating the numbers to their nearest (i) hundreds (ii) thousands.

    Read More