G S Rehill's Interactive Maths Software Series - "Building a Strong Foundation in Mathematics" from mathsteacher.com.au.

 

Year 7 Interactive Maths - Second Edition


Division of a Decimal by a Whole Number

To divide a decimal by a whole number, divide as you would for whole numbers; and place a decimal point in the answer so that it lines up with the decimal point in the dividend.

If after dividing you have a remainder, add a zero to the dividend and continue to divide until there is no remainder or the decimals recur (i.e. repeat).


Example 26

Solution:


Alternatively, we can set out the solution as follows:


Example 27

Solution:


Alternatively, we can set out the solution as follows:


Example 28

Solution:


Alternatively, we can set out the solution as follows:


Example 29

Solution:


Alternatively, we can set out the solution as follows:


Note:
  • We added a trailing zero to 7.4 when 4 would not divide into 2.
  • Adding a trailing zero (or zeros) to a decimal number does not alter its value.


Example 30

Solution:


Alternatively, we can set out the solution as follows:

 

Study Another Topic in Chapter 6: Decimals

Decimals ] Representation of Decimals on a Number Line ] Comparing Decimals ] Addition of Decimals ] Subtraction of Decimals ] Multiplication of Decimals ] Multiplication of a Decimal by a Power of Ten ] Multiplication of a Decimal by a Multiple of a Power of Ten ] Multiplication of a Decimal Number by another Decimal Number ] [ Division of a Decimal by a Whole Number ] Division of a Decimal by a Power of a Ten ] Division of a Decimal by a Multiple of a Power of Ten ] Division of a Decimal by another Decimal ] Rounding Off ] Recurring Decimals ] Problem Solving Unit ] Symbols ] Index ]

 

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