Compare Powers Without Full Calculation
Written by Adi Ackerman, Head Teacher
"Compare Powers Without Full Calculation" is written for 7th Grade (Ages 12-13). A 6th grader who is already steady on exponents can use it too, and an older student can use it as a short review.
7th grade math worksheet: compare pairs of powers by reasoning first, such as 3 to the 7th and 3 to the 5th, then check. Answer key included. Part of our powers with negative and rational bases exponents collection.
How do I use this worksheet?
Start with Name the Base and Exponent When Signs Are Tricky, then move to the evaluation pages. Use the comparison and product pages as a check on how well students understand signs and exponents.
What students will practice
- Students will write <, > or = to compare powers before calculating them.
- Students will give a short reason using the base, the exponent or the sign.
- Students will calculate both sides to check each comparison.
Evaluate Powers of Negative Integers
Evaluate Powers in Two-Operation Expressions
Evaluate Powers by Writing the Expanded Form
Evaluate Powers of Decimals to Three Places
Evaluate Powers of Signed Decimals
Powers of Stacked Fractions to the Second and Third
Powers of Negative Stacked Fractions
Expressions With Powers of Stacked Fractions
Curriculum Links
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FAQ
How do I use this powers with negative and rational bases worksheet?
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Start with Name the Base and Exponent When Signs Are Tricky, then move to the evaluation pages. Use the comparison and product pages as a check on how well students understand signs and exponents.
What does this worksheet teach?
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Compare pairs of powers by reasoning first, such as 3 to the 7th and 3 to the 5th, then check. The directions on the page read: Before you calculate, write <, > or = in each box and give a short reason. Then find the value of the left and right powers to check. An answer key is included.
Can I use this powers with negative and rational bases worksheet for homeschool or classroom?
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Yes, both. We made it for 7th grade exponents, and it works the same at home or at school. At home, a student can work through it alone and then go over it with you, which shows quickly what is solid and what needs another look. In class it works as independent practice, homework or a warm-up, and you can print one copy or a full set.
Where does the negative sign go in a power?
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Inside parentheses, it belongs to the base. Outside them, it applies after the power is found.
How do you simplify a power of a fraction?
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Raise the numerator and the denominator to the exponent, then write the fraction in simplest form.
Do these worksheets include answer keys?
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Yes, all 13 have an answer key.
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Evaluate Powers of Negative Integers
Evaluate Powers in Two-Operation Expressions
Evaluate Powers by Writing the Expanded Form
Evaluate Powers of Decimals to Three Places
Evaluate Powers of Signed Decimals
Powers of Stacked Fractions to the Second and Third
Powers of Negative Stacked Fractions
Expressions With Powers of Stacked Fractions