Multiplication of Decimal Numbers

This topic would deal with multiplication of decimal numbers. Previously in case of addition and subtraction we have seen that we need to change the set of decimal numbers to be added or subtracted into like decimal fractions but here changing into like decimal fraction is not required. Here we need to multiply two decimal numbers as we multiply whole numbers without considering the decimal point. After finding out the product count the number of decimal places in both the numbers (i.e. the multiplicand and the multiplier) and in the result also counts as many places from the last place towards the right to place the decimal point.


Steps of multiplication of decimal numbers:

Step I: Multiply both the numbers as we multiply in whole numbers.

Step II: Then count the number of places after decimal in multiplier and multiplicand and place the decimal point leaving the same no. of places from the left in the final answer

Here are few examples on multiplication of decimal numbers:

1. Multiply 87.95 by  9

Solution:

                     8  7  .  9  5

                   ×              9

                7   9  1  .  5  5

 

Here as we multiply in case of whole numbers we will multiply first 9 with 5 to get 45 but we will only write 5 and 4 will be carried over. Then in tenths place 9 is multiplied with 9 to get 81 and 4 carrying from hundredths place to make it 85 in the tenths place and we will write 5 and 8 would be carried over to the units place. Now 9 multiplied by 7 is 63 and carry 8 would make it 71 and hence would write 1 and 7 carrying. Now 9 multiplied by 8 is 72 and 7 carry would make it 79. As in the  multiplicand the no. of decimal place is 2 all together. The decimal will be placed leaving 2 places from the left of the number.

Multiplication of Decimal Numbers

2. Multiply 40.62 by 2.3

Solution:

                  4  0 . 6  2

               ×        2 . 3 

               1  2  1  8  6

              8  1  2  4   0

              9  3 . 4  2  6

Here as we multiply in case of whole numbers we will multiply first 3 with 2 to get 6 and then 3 with 6 to get 18 where 8 is written and 1 carried over.  Again 3 is multiplied by 0 to get 0 and 8 carry over hence will write 8. Again 3 is multiplied with 4 to get 12. In the second row  2 is multiplied with 2 to get 4 and then 2 is multiplied with 6 to get 12 but we will only write 2 with 1 carrying. For the units place 2 is multiplied with 0 to get 0 and 1 is carried over and hence will write 1 and finally 2 is multiplied with 4 to get 8. The decimal will be placed leaving 3 places from the left of the number. As in the multiplier and multiplicand the no. of decimal place is 3 all together.




5th Grade Math

From Multiplication of Decimal Numbers to HOME PAGE

New! Comments

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


Recent Articles

  1. Characteristics of Plant Growth Regulators | Definition | Functions |

    Apr 27, 25 01:21 PM

    Plant Growth Regulators
    Definition of plant growth regulators- This are very small molecules synthesized from the cells of different parts which are associated with the plant cell growth. Growth in unicellular organism emplo…

    Read More

  2. Plants Development | Definition | Leaf Development | Factors Affecting

    Apr 22, 25 02:31 PM

    Definition of development- development is a biological process which can be defined as the process in which there is sequence of qualitative changes towards a higher or more Complex state.It consists…

    Read More

  3. Differentiation, Dedifferentiation and Redifferentiation | Definition

    Apr 21, 25 01:16 PM

    Differentiation
    Cells from the root apical meristem and shoot apical meristem the camera that differentiate , mature to perform different functions. This process by which the cells undergo different major structural…

    Read More

  4. Explain about Growth in Plants |Definition of Growth & Differentiation

    Feb 27, 25 02:07 PM

    Phases of Growth
    Growth is a permanent increase in length or volume of an organism that brought upon by an increase in its dimensions due to synthesis of new protoplasmic material.

    Read More

  5. Definition of Respiratory Quotient | calculation | Application | Plant

    Dec 02, 24 12:09 AM

    Definition of respiration quotient- the ratio of the carbon-dioxide evolved to that of the oxygen consumed by a cell, tissue, plants or animals in a given time is called respiratory quotient. It is us…

    Read More