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
-
Patterns in Numbers | Patterns in Maths |Math Patterns|Series Patterns
Dec 13, 24 08:43 AM
We see so many patterns around us in our daily life. We know that a pattern is an arrangement of objects, colors, or numbers placed in a certain order. Some patterns neither grow nor reduce but only r… -
Patterns in Math | Missing Number | Counting Numbers | Worksheets
Dec 13, 24 12:31 AM
Finding patterns in math is very important to understand the sequence in the series. We need to find the exact missing number that from the group of numbers. The counting numbers may be counting -
Concept of Pattern | Similar Patterns in Mathematics | Similar Pattern
Dec 12, 24 11:22 PM
Concept of pattern will help us to learn the basic number patterns and table patterns. Animals such as all cows, all lions, all dogs and all other animals have dissimilar features. All mangoes have si… -
2nd Grade Geometry Worksheet | Plane and Solid Shapes | Point | Line
Dec 12, 24 10:31 PM
2nd grade geometry worksheet -
Types of Lines |Straight Lines|Curved Lines|Horizontal Lines| Vertical
Dec 09, 24 10:39 PM
What are the different types of lines? There are two different kinds of lines. (i) Straight line and (ii) Curved line. There are three different types of straight lines. (i) Horizontal lines, (ii) Ver…
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.