Year 5 Exam > Year 5 Notes > Year 5 Mathematics > Divide decimals by 10, 100 and 1000
Divide decimals by 10, 100 and 1000 | Year 5 Mathematics PDF Download
| Table of contents |
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| Understanding Dividing Decimals |
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| Application of Decimal Division in Everyday Scenarios |
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| Using Place Value Charts |
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| Examples |
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Understanding Dividing Decimals
- When you divide a decimal by 10, 100, or 1000, the place value of the digits decreases.
- The digits shift to the right as the number gets smaller, but remember, the decimal point remains in the same position.
Application of Decimal Division in Everyday Scenarios
Dividing decimals is not just a math concept; it has practical applications in everyday life:
- Converting pence into pounds
- Converting various measures like grams to kilograms and liters to milliliters
- Converting lengths, such as determining how many centimeters are in meters
Using Place Value Charts
- You can use place value charts to help divide by 10, 100, and 1000. This method assists in visualizing how digits change in value.
- A helpful trick to remember the number of places the digits need to move is by observing the zeros in 10, 100, and 1000.
- For instance, since there are 3 zeros in 1000, you need to move the digits 3 places to the right to divide by 1000.
- x10 - 1 zero move 1 place
- x100 - 2 zeros move 2 places
- x1000 - 3 zeros move 3 places
Examples
Example: 1
What is 24 ÷ 10?
By referring to the place value chart, you can observe how the digits shift one place to the right.
You must now introduce a decimal point in the answer to indicate that the 4 is now worth 4 tenths.
24 ÷ 10 = 2.4
Example: 2
What is 6510 ÷ 1000?
The digits have shifted to the right as their value decreases, this time by three places.
The zero has moved to the thousandths column, but it doesn't need to be included in your answer.
6510 ÷ 1000 = 6.51
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