We will learn how to find the quotient in division of a decimal by a whole number.
The rules to divide a decimal by a whole number are:
(i) Divide as in division of numbers ignoring the decimal point.
(ii) When you reach the tenths digit, place the decimal in the quotient.
Note:
When the number of digits in the dividend is less and the division is
not complete, keep adding zeroes at every step till the division is
complete as in example 1 and example 2.
1. Solve: 100.4 ÷ 25
100.4 ÷ 25
Therefore, 100.4 ÷ 25 = 4.016
2. Find 1.2 ÷ 25
1.2 ÷ 25
= (12/10) ÷ 25
= (12/10) ×(1/25)
= (12 × 1)/(10 × 25)
= 12/250
Alternative Method:
Therefore, 1.2 ÷ 25 = 0.048
3. Divide: 191.5 ÷ 5
191.5 ÷ 5
Therefore, 191.5 ÷ 5 = 36.3
This example shows that both dividend and quotient have decimal place i.e. 1.
`4. Divide: 1.21 ÷ 11
First we will divide the decimal by the whole number ignoring decimal point.
Now put the decimal point in the quotient in such a way, that the decimal place in the quotient becomes equal to the decimal places in the dividend.
Therefore, 1.21 ÷ 11 = 0.11 (dividend has 2 decimal places, therefore quotient also has 2 decimal places)
5. Divide: 798.3 ÷ 36
798.3 ÷ 36
Therefore, 798.3 ÷ 36 = 22.175
6. Divide: 0.007 ÷ 14
0.007 ÷ 14
7. Divide: 24.66 ÷ 12
24.66 ÷ 12
Therefore, 24.66 ÷ 12 = 2.05 (dividend has 2 decimal places, therefore quotient also has 2 decimal places)
8. Divide: 316.84 ÷ 8
316.84 ÷ 8
Therefore, 316.84 ÷ 8 = 39.605
9. Divide: 6.30 ÷ 7
6.30 ÷ 7
Therefore, 6.30 ÷ 7 = 0.90 (dividend has 2 decimal places, therefore quotient also has 2 decimal places)
10. Divide: 1020.102 ÷ 51
1020.102 ÷ 51
Therefore, 1020.102 ÷ 51 = 20.002 (dividend has 3 decimal places, therefore quotient also has 3 decimal places)
`● Decimal.
Expanded form of Decimal Fractions.
Changing Unlike to Like Decimal Fractions.
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 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.
5th Grade Math Problems
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