Decimal Point Multiplication

Decimal point multiplication

Decimal places
The number of figures which follow the decimal point is called the number of decimal places. Thus , 1.432 has three decimal places and 7.82 has two decimal places.
Reading a decimal number
In reading a decimal, the digits are named in order. Thus 0.457 is read as zero point four, five , seven.

Cases in Decimal Point Multiplication

Decimal point multiplication 

case 1 : To multiply by a whole numbers

multiply as in the case of integers, and in the product mark as many decimal places as there are in the multiplicand, prefixing zeros if necessary.

Ex : i)  In decimal point mutiplication, multiply   0 . 9  *  12

                step 1 :  9  * 12  = 108

                step 2 :  As there is one decimal places in multiplicand , the product should also have only one decimal place. so answer = 10.8

 ii)  multiply   0.009  *  12

                 step 1 :  9  * 12  = 108

                step 2 :  As there are three decimal places in multiplicand , the product should also have three decimal place. so answer = 0.108

case 2 : to multiply by 10 , 100 , 1000 etc

Rule: Move the decimal point by as many places to the right as many are there zeros in the multiplier.

EX :  i) find the decimal point multiplication  find :39.052  * 100  =  3905.2

                    ii ) find the decimal point multiplication  find :42.63  * 1000 = 42630

Understanding Decimal to Percent is always challenging for me but thanks to all math help websites to help me out.

More Examles for Decimal Point Multiplication

case 3 : To multiply a decimal by a decimal

Rule:  Multiply as in integers, and in the product mark as many decimal places as there are in the case of the multiplier and the multiplicand together , prefixing zeros, if necessary.

Ex :  i ) find the decimal point multiplication   61 * 0.07  = ?

sol :  step 1 )  61  *  7

                  step 2) As there are  ( 2 + 2 = ) 4 decimal places in the multiplier and the multiplicand together, the product should also have 4 decimal places. But there are only three digits in the product, so we prefix one zero to the product before placing the decimal. so , the answer is = 0. 0 427