Division of Decimal Fractions


The rules of division of decimal fractions by 10, 100, 1000 etc. are discussed here.

(i) While dividing a decimal by 10, 100, or 1000 etc. i.e., multiples of 10, the decimal shiftsto the left by as many places as there are zeroes in the divisor.

(ii) If the number of places in the integral part is less, then put the required number ofzeroes to the left of the integral part, then shift the decimal point.



1. 71.6 ÷ 10

Solution:

71.6 ÷ 10

716/10 ÷ 10

= 716/10 × 1/10

= 716/100

= 71.6 ÷10

= 7.16

Therefore, 71.6 ÷ 10 = 7.16

Here we observe that decimal moves one place to the left.



2. 923.07 ÷ 100

Solution:

923.07 ÷ 100

= 92307/100 ÷ 100

= 92307/100 × 1/100

= 92307/10000

= 9.2307

Therefore, 923.07 ÷ 100 = 9.2307

Here we observe that decimal shifts two places to the left.



3. 44.008 ÷ 1000

Solution:

44.008 ÷ 1000

44.008/1000 ÷ 1000

= 44008/1000 × 1/1000

= 44008/1000000

=0.044008

Therefore, 44.008 ÷1000 = 0.044008

Here we observe that decimal point shifts three places to the left.



Let us consider some of the examples of division of decimal fractions by 10, 100, 1000, etc….

(i) 17.1 ÷ 10

Here the decimal shifts to the left by as many places as there are zeroes in the divisor.

Since there is 1 zero in the divisor then the decimal shifts 1 place to the left.



Therefore, 17.1 ÷ 10 = 1.71



(ii) 42.08 ÷ 10

Since there is 1 zero in the divisor then the decimal shifts 1 place to the left.



Therefore, 42.08 ÷ 10 = 4.208



(iii) 2.1 ÷ 100

We observe that the number of places in the integral part is less, then put the required number of zeroes to the left of the integral part, then shift the decimal point.

Since there are 2 zeroes in the divisor then the decimal shifts 2 places to the left.



Therefore, 2.1 ÷ 100 = 0.021



(iv) 73.3 ÷ 100

We observe that the number of places in the integral part is less, then put the required number of zeroes to the left of the integral part, then shift the decimal point.

Since there are 2 zeroes in the divisor then the decimal shifts 2 places to the left.



Therefore, 73.3 ÷ 100 = 0.733



(v) 81.6 ÷ 1000

We observe that the number of places in the integral part is less, then put the required number of zeroes to the left of the integral part, then shift the decimal point.

Since there are 3 zeroes in the divisor then the decimal shifts 3 places to the left.



Therefore, 81.6 ÷ 1000 = 0.0816



(vi) 984.72 ÷ 1000

We observe that the number of places in the integral part is less, then put the required number of zeroes to the left of the integral part, then shift the decimal point.

Since there are 3 zeroes in the divisor then the decimal shifts 3 places to the left.



Therefore, 984.72 ÷ 1000 = 0.98472

 Decimal.

Decimal Place Value Chart.

Expanded form of Decimal Fractions.

Like Decimal Fractions.

Unlike Decimal Fraction.

Equivalent Decimal Fractions.

Changing Unlike to Like Decimal Fractions.

Ordering Decimals

Comparison of Decimal Fractions.

Conversion of a Decimal Fraction into a Fractional Number.

Conversion of Fractions to Decimals Numbers.

Addition of Decimal Fractions.

Problems on Addition of Decimal Fractions

Subtraction of Decimal Fractions.

Problems on Subtraction of Decimal Fractions

Multiplication of a Decimal Numbers.

Multiplication of a Decimal by 10, 100, 1000

Multiplication of a Decimal by a Decimal.

Properties of Multiplication of Decimal Numbers.

Problems on Multiplication of Decimal Fractions

Division of a Decimal by a Whole Number.

Division of Decimal Fractions

Division of Decimal Fractions by Multiples.

Division of a Decimal by a Decimal.

Division of a whole number by a Decimal.

Properties of Division of Decimal Numbers

Problems on Division of Decimal Fractions

Conversion of fraction to Decimal Fraction.

Simplification in Decimals.

Word Problems on Decimal.








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