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Add and subtract decimals, then multiply and divide by multiples of powers of ten.
Free examples and worked answers. No account needed.
Practise the method.
Add and subtract decimals, then multiply and divide by multiples of powers of ten.
Add and subtract decimals, then multiply and divide by multiples of powers of ten.
Example 1
What happens to the value of each digit when 9.67 is multiplied by 100?
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Answer: Each digit represents a value 100 times as large.
- Multiplication by 100 makes the entire number 100 times as large.
- The digits take place values two places to the left; their values increase by a factor of 100.
Example 2
Calculate 1.25×200 without a calculator.
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Answer: 250
- Use place value and multiplication facts.
- 1.25×200=250; multiplying by 200 makes the value 200 times as large.
- Check by rounding 1.25 to the nearest tenth: 1.3×200=260, a nearby estimate.
Example 3
What happens to the value of each digit when 6.74 is multiplied by 100?
Show worked answer
Answer: Each digit represents a value 100 times as large.
- Multiplication by 100 makes the entire number 100 times as large.
- The digits take place values two places to the left; their values increase by a factor of 100.
Put it into practice.
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