Dividing Decimal by a Decimal Number

Dividing decimal by a decimal number is just same like division as usual.

How to divide a decimal by a decimal number?

To divide a decimal by a decimal number follow the below steps:

● Convert the divisor into a whole number by multiplying the dividend and divisor by the suitable power of 10.

● Now, divide the new dividend by the whole number as discussed earlier.


Worked-out problems to find the quotient of a decimal by a decimal number:

Read the above explanation step-by-step and try to understand the examples on division of decimals.

1. Find the quotient of:

(i) Divide 96.075 by 6.3

Solution:

Since, the divisor has 1 decimal place.

Therefore, multiply the dividend and divisor by 10

i.e., (96.075 Γ— 10)/(6.3 Γ— 10) = 960.75/63

Now, divide 960.75 by 63

i.e., 960.75 Γ· 63

Divide the decimal number without the decimal point,

so we have 96075 Γ· 63

Dividing Decimal by a Decimal Number











Since, 960.75 has 2 decimal places

Therefore, 960.75 Γ· 63 will also have 2 decimal places

Therefore, 960.75 Γ· 63 = 15.25


(ii) Divide 24.629 by 1.1

Solution:

Since, the divisor has 1 decimal place.

Therefore, multiply the dividend and divisor by 10

i.e., (24.629 Γ— 10)/(1.1 Γ— 10) = 246.29/11

Now, divide 246.29 by 11

i.e., 246.29 Γ· 11

Divide the decimal number without the decimal point,

so we have 24629 Γ· 11

Word Problems on Division of Decimal











Since, 246.29 has 2 decimal places

Therefore, 246.29 Γ· 11 will also have 2 decimal places

Therefore, 960.75 Γ· 63 = 22.39


Word problems on division of decimal by a decimal number:

2. The length of a rectangle is 1.5 m and its area is 14.295. Find its breadth.

Solution:

Length of a rectangle is 1.5

Area of a rectangle is 14.295

Therefore, breadth of the rectangle = Area/Length = 14.295/1.5

= (14.295 Γ— 10)/(1.5 Γ— 10)

= 142.95/15

= 9.53 m


3. If the cost of 9 books is $206.55, find the cost of 1 book.

Solution:

Number of books = 9

Cost of 9 books = $206.55

Therefore, cost of 1 book = $(206.55 Γ· 9) = $22.95

● Related Concept

● Decimals

● Decimal Numbers

● Decimal Fractions

● Like and Unlike Decimals

● Comparing Decimals

● Decimal Places

● Conversion of Unlike Decimals to Like Decimals

● Decimal and Fractional Expansion

● Terminating Decimal

● Non-Terminating Decimal

● Converting Decimals to Fractions

● Converting Fractions to Decimals

● H.C.F. and L.C.M. of Decimals

● Repeating or Recurring Decimal

● Pure Recurring Decimal

● Mixed Recurring Decimal

● BODMAS Rule

● BODMAS/PEMDAS Rules - Involving Decimals

● PEMDAS Rules - Involving Integers

● PEMDAS Rules - Involving Decimals

● PEMDAS Rule

● BODMAS Rules - Involving Integers

● Conversion of Pure Recurring Decimal into Vulgar Fraction

● Conversion of Mixed Recurring Decimals into Vulgar Fractions

● Simplification of Decimal

● Rounding Decimals

● Rounding Decimals to the Nearest Whole Number

● Rounding Decimals to the Nearest Tenths

● Rounding Decimals to the Nearest Hundredths

● Round a Decimal

● Adding Decimals

● Subtracting Decimals

● Simplify Decimals Involving Addition and Subtraction Decimals

● Multiplying Decimal by a Decimal Number

● Multiplying Decimal by a Whole Number

● Dividing Decimal by a Whole Number

● Dividing Decimal by a Decimal Number







7th Grade Math Problems

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