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Home >> Decimal >> Division of Decimals >> Division of decimal by 10, 100, 1000, 10000 >>

Division of decimal by 10, 100, 1000, 10000

Division of Decimal by a Whole Number (zero) Division of Decimal by a Whole Number (not zero) Division of Decimal by another Decimal Division of Whole Number by Decimal Division of decimal by 10, 100, 1000, 10000



Before you understand this topic, you are advice to read:

Define Decimal Point
Define Dividend
Define Divisor
Define Quotient
How to multiply decimal with whole number

To understand this concept, study the following example:

Example 1: Divide 2356.78 with 10

Solution: Divide 23.5678 by 10 and we get:

2356.78 ÷ 10 = 235.678

Now compare the dividend and the quotient:
You can see that digits in dividend and the quotient are same. And the difference is only that decimal point is shifted to the left by one place.



Example 2: Divide 2356.78 with 100

Solution: Divide 2356.78 with 100 and we get:

2356.78 ÷ 100 = 23.5678

Now compare the dividend and the quotient:
Here again, you can see that digits in dividend and the quotient are same. And the difference is only that decimal point is shifted to the left by two places.



From example 1 and example 2, we have two following observations:

  • Observation 1: In both the examples, digits in dividend and quotient are same. And the difference is only shifting of decimal point to the left.

  • Observation 2: Number of places decimal point shifts is equal to the number of zero(s) in the divisor i.e.

    In Example 1: decimal point shifted one place and divisor (10) has one zero
    In Example 2: decimal point shifted two places and divisor (100) has two zeros.

    Hence, from above two observations it is concluded that:
    When a decimal is divided by 10 or 100 or 1000 or 10000 & so on, The dividend and the quotient remains same and decimal point shifts to the left by as many number of places as there are number of zero(s) in the divisor.

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