Online worksheet ยท 4 of 4

Subtract matching recurring tails - Online practice 4

Read the information, then answer the questions. An adult may read the instructions aloud. Show your working where asked.

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Let x=0.545454... with the TWO-digit block 54 repeating forever. Let y=0.54, 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.

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  1. Use subtraction to express x=0.545454... as a simplified fraction.
  2. Express y=0.54 as an exact fraction and state whether it equals x.
  3. Why is multiplying by 10 alone not the most direct matching-tail step for this two-digit block?

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