Rational and Irrational Numbers Between Two Numbers
PrintPrint this worksheet, clean and free, at stepsies.com.
Sheet 32 has new questions in the same layout. Print it to see them.
Rational and Irrational Numbers Between Two Numbers
Rational and irrational numbers worksheet for Grade 8: four numbers to call rational or not, two sets with a square root to order, then a rational and an irrational number between two decimals and between two square roots. With an answer key.
Type the answers or write with a mouse, touchpad or finger. The work stays on your device.
Your first print is free, with no sign-in. Then 10 sheets a month with a free account. Prints on Letter paper, or print on A4.
Make a new sheetSheet 32 of 214, each with its own answer key · Back to Sheet 1
- Pages
- 1
- Last updated
- Time
- About 15 minutes
- Answer key
- Included
- Goes with
- Ordering Real Numbers, Estimating Square Roots
- Printing
- Black and white
- Related curriculum
-
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.
