Repeating Decimals as Fractions
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Repeating Decimals as Fractions
Repeating decimals as fractions worksheet: twelve decimals such as 0.1666… and 2.3747474…, drawn with a bar, to write as fractions in simplest form. Grade 8, with an answer key.
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Make a new sheetSheet 118 of 8969, each with its own answer key · Back to Sheet 1
- Pages
- 1
- Last updated
- Time
- About 20 minutes
- Answer key
- Included
- Printing
- Black and white
- Related curriculum
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Tell rational numbers from irrational ones, write a repeating decimal as a fraction, and use whole-number and decimal estimates to compare and place irrational numbers such as √20 and π on a number line.
Reviewed by Mr. Robert Harrison, Teacher. How we check worksheets
How to use this sheet
- Keep a list of the perfect squares to 144 and the perfect cubes to 125 beside the sheet.
- For estimating, have the child find the two perfect squares the number is between first.
- Ask the child to check each root by multiplying it back.
Common mistakes
- Dividing by 2 for a square root, so the square root of 16 becomes 8. Ask which number times itself makes 16.
- Thinking every square root is irrational. The square root of 49 is 7, a whole number.
- Thinking a repeating decimal is irrational. Repeating decimals are fractions, so they are rational.
