Converting terminating decimals to fractions
I can appreciate that any terminating decimal can be written as a fraction with a denominator of the form 10^n
Converting terminating decimals to fractions
I can appreciate that any terminating decimal can be written as a fraction with a denominator of the form 10^n
Lesson details
Key learning points
- Place value of decimals can be represented with exponentials in the column headings.
- Terminating decimals have fraction equivalents.
- All terminating fractions can be written with exponential denominator with 10 as the base.
Common misconception
The more decimal places there are, the greater the number.
Pupils can investigate this by looking at the numbers 0.23 and 0.1237 and using a common denominator or 10000.
Keywords
Terminating decimal - A terminating decimal is one that has a finite number of digits after the decimal point.
Licence
This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).
Video
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Starter quiz
6 Questions
$$0. \dot 7 \dot 8$$ -
$$0.78787878...$$
$$0.78 \dot 9$$ -
$$0.789999999...$$
$$0. \dot{7} 8 \dot {9}$$ -
$$0.789789789...$$
$$0. \dot 7$$ -
$$0.77777777...$$
$$0. 7\dot 8 \dot 9$$ -
$$0.789898989...$$
Exit quiz
6 Questions
$$3.4$$ -
$$\frac{34}{10^1}$$
$$0.34$$ -
$$\frac{34}{10^2}$$
$$0.00034$$ -
$$\frac{34}{10^5}$$
$$0.034$$ -
$$\frac{34}{10^3}$$