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Subtract matching recurring tails - Paper 1
Read the information, then answer the questions. An adult may read the instructions aloud. Show your working where asked.
Read before answering
Let x=0.636363... with the TWO-digit block 63 repeating forever. Let y=0.63, a terminating decimal with exactly two decimal places. Multiplying x by 100 aligns its infinite recurring tail with x. Work exactly, not from a calculator's rounded display.
Worksheet preview
- Use subtraction to express x=0.636363... as a simplified fraction.
- Express y=0.63 as an exact fraction and state whether it equals x.
- Why is multiplying by 10 alone not the most direct matching-tail step for this two-digit block?
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