Division of a Decimal by a Decimal
Division of a decimal by a decimal are discussed here.
1. 14.7 ÷ 2.1
Solution:
14.7 ÷ 2.1
[Count the number of decimal digits in the divisor and we observe that after decimal there is 1 number so we divide the number by 10.]
= 147/10 ÷ 21/10
= 147/10 × 10/21 [reverse it to multiplication]
= (147 × 10)/(10 × 21)
= 1470/210
Now divide the numbers as usual.
Therefore, 14.7 ÷ 2.1 = 7
2. 1.296 ÷ 0.108
Solution:
1.296 ÷ 0.108
[Count the number of decimal digits in the divisor and we observe that after decimal there are 3 numbers so we divide the number by 1000]
= (1296/1000) ÷ (108/1000)
= (1296/1000) × (1000/108)[reverse it to multiplication]
= (1296 × 1000)/1000 × 108)
= 1296000/108000
Now divide the numbers as usual.
Therefore, 1.296 ÷ 0.108 = 12
Alternative method of solving division of a decimal by a decimal
RULES
(i) Count the number of decimal digits in the divisor.
(ii) Move the decimal in dividend that many places to the right.
(iii) Write the divisor without the decimal.
(iv) Now divide the numbers as usual.
For example:
3. 8.005 ÷ 0.05
Solution:
8.005 ÷ 0.05
[Count the number of decimal digits in the divisor.]
[Move the decimal in dividend that many places to the right.]
800.5 ÷ 5
[Write the divisor without the decimal.]
[Now divide the numbers as usual.]
Therefore, 8.005 ÷ 0.05 = 160.1
4. 76.363 ÷ 0.7
Solution:
76.363 ÷ 0.7
[Count the number of decimal digits in the divisor.]
[Move the decimal in dividend that many places to the right.]
763.63 ÷ 7
[Write the divisor without the decimal.]
[Now divide the numbers as usual.]
Therefore, 76.363 ÷ 0.7 = 109.09
● 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.
Subtraction of Decimal Fractions.
Multiplication of a Decimal Numbers.
Multiplication of a Decimal by a Decimal.
Properties of Multiplication of Decimal Numbers.
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.
Conversion of fraction to Decimal Fraction.
From Division of a Decimal by a Decimal to HOME PAGE
Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.
Recent Articles
-
2nd grade math Worksheets | Free Math Worksheets | By Grade and Topic
Nov 20, 24 01:00 PM
2nd grade math worksheets is carefully planned and thoughtfully presented on mathematics for the students. -
2nd Grade Measurement Worksheet | Measuring Length, Mass and Volume
Nov 20, 24 12:50 AM
In 2nd Grade Measurement Worksheet you will get different types of questions on measurement of length, measurement of weight (mass), measurement of capacity (volume), addition of length, addition of w… -
2nd Grade Fractions Worksheet | Basic Concept of Fractions | Answers
Nov 20, 24 12:16 AM
In 2nd Grade Fractions Worksheet we will solve different types of problems on fractions, one-whole, one-half, one-third, one-fourth, three-fourth or s quarter. In a fraction, it is important that the… -
2nd Grade Math Practice | Second Grade Math |2nd Grade Math Worksheets
Nov 18, 24 02:23 PM
In 2nd grade math practice you will get all types of examples on different topics along with the solutions. Second grade math games are arranged in such a way that students can learn math -
Worksheet on Addition of Length | Word Problems on Addition of Length
Nov 17, 24 10:29 PM
Practice the third grade math worksheet on addition of length. This sheet provides different types of questions where you need to arrange the values of length under different columns to find their sum
New! Comments
Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.