Multiplication and Division of Decimals
Multiplication of Decimals
In multiplication
of decimal number by a whole number or by a decimal number, multiplication
is done as normal multiplication of numbers. Then the decimal point is inserted
in the product so obtained by counting the digits from the right to the left so
that it is equal to the total digits to the right of the decimal points in both
the given numbers.
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For example:
While multiplying 2.35 by 7, we get 2.35 × 7 = 16.45
(Since, total decimal number is 2, hence after two digits from the right
decimal point has been inserted in the product).
Similarly, while multiplying 6.35 by 1.75 we do as
follows:
∴ 6.35 × 1.75 =
11.1125 (Since, the total decimal place in both the numbers are
4, hence after 4 digits from the right of the product decimal point has been
inserted).
Division of Decimals
In division of decimal
number by a whole number we divide as we do it in the case of whole numbers
and put a decimal point in the quotient after the division of integral part is
finished.
For example:
If we need to divide 86.8 by 4, then we do as follows:
∴ 2.432 ÷ 1.6 = 1.52
Note: If there is a remainder in above case, we
can put a zero to the right of the reminder and the division is continued. This
process is repeated until the remainder is zero or until the required number of
decimal places is obtained.
When we divide a decimal number by a decimal number, the divisor should
be made a whole number by converting into a fraction with the denominator 10 or
power of 10.
Let us take an example of 2.432 ÷ 1.6
∴ 2.432 ÷ 1.6 = 1.52
Workout Examples
Example 1: Multiply the following.
a.
45.31
× 41
b.
78.15
× 3.17
Solution: Here,
Example 2: Divide the following.
a.
148.8
÷ 32
b.
4.53
÷ 1.5
Solution: Here,
You can comment your
questions or problems regarding the multiplication and division of decimals numbers here.
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