Order of Operations with Powers and Roots
PrintPrint this worksheet, clean and free, at stepsies.com.
Sheet 10 has new questions in the same layout. Print it to see them.
Order of Operations with Powers and Roots
Order of operations with powers and roots for Grade 8: eight expressions with parentheses and brackets, powers, square roots, and fractions or decimals, then two problems that need a root or a power. 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 10 of 191, each with its own answer key · Back to Sheet 1
- Skill
- Exponents Worksheets
- Pages
- 1
- Last updated
- Time
- About 20 minutes
- Answer key
- Included
- Goes with
- Order of Operations with Brackets
- Printing
- Black and white
- Related curriculum
-
Use the rules for powers with the same base: add exponents to multiply, subtract them to divide, multiply them for a power of a power, and know that a zero exponent gives 1 and a negative exponent gives one over the power.
Reviewed by Mr. Robert Harrison, Teacher. How we check worksheets
How to use this sheet
- Have the child write a power out in full the first few times: 2 to the 3 is 2 × 2 × 2.
- For each rule, show it with expanded powers before using the rule: 2² × 2³ is five 2s multiplied.
- For negative exponents, use a pattern: 2³, 2², 2¹, 2⁰, then halve again for 2⁻¹.
Common mistakes
- Multiplying the base by the exponent, so 2³ becomes 6. It is 2 × 2 × 2, which is 8.
- Multiplying the exponents when multiplying powers with the same base. Add them: 2² × 2³ = 2⁵.
- Thinking a negative exponent makes a negative number, so 2⁻¹ is −2. It is 1/2.
- Thinking any number to the power 0 is 0. It is 1.
