I can appreciate that any terminating decimal can be written as a fraction with a denominator of the form 10^n
I can appreciate that any terminating decimal can be written as a fraction with a denominator of the form 10^n
Terminating decimal - A terminating decimal is one that has a finite number of digits after the decimal point.
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.
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$$0. \dot 7 \dot 8$$ - $$0.78787878...$$
$$0.78 \dot 9$$ - $$0.789999999...$$
$$0. \dot{7} 8 \dot {9}$$ - $$0.789789789...$$
$$0. \dot 7$$ - $$0.77777777...$$
$$0. 7\dot 8 \dot 9$$ - $$0.789898989...$$
$$3.4$$ - $$\frac{34}{10^1}$$
$$0.34$$ - $$\frac{34}{10^2}$$
$$0.00034$$ - $$\frac{34}{10^5}$$
$$0.034$$ - $$\frac{34}{10^3}$$
