Free Printable WorksheetMathGrade 7Math Curriculum7.51

7.51 Negative exponents for powers of ten Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 7 Math worksheet provides structured practice on 7.51 Negative exponents for powers of ten. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

7.51 Negative exponents for powers of ten - In multiple-choice items, students select the correct fraction or decimal form of a power of ten with a negative exponent. (VA 7.NS.1.a; VA 7.NS.1.b; FL MA.7.NSO.1.1)

Whether you are an educator preparing classroom handouts, a tutor reinforcing weekly topics, or a parent supporting homeschool learning, this printable resource gives students the deliberate practice required to achieve subject fluency and master state standards.

Grade

Grade 7

Subject

Math

Domain

Math Curriculum

Formats

PDF & DOCX

Sample Practice Problems

Preview the types of problems and questions covered in this worksheet

Below are sample questions representative of the exercises included on this worksheet and related 7.51 Negative exponents for powers of ten skill assessments:

Problem 1Difficulty: Mastery
Compute (10⁻⁶ × 10⁻⁶) ÷ (10⁻³). Which fraction equals the result?
A1/10⁸
B1/10¹⁰
C1/10¹¹
D1/10⁹
Solution & Explanation:Simplify the powers of ten in ((10⁻⁶ × 10⁻⁶) ÷ 10⁻³) to get 10⁻⁹. Then write 10⁻⁹ as 1/10⁹, which is 1/10⁹. (Correct choice: D.)
Problem 2Difficulty: Mastery
Simplify (10⁻¹⁶ × 10⁷) ÷ 10². Which decimal equals the result?
A0.0000000001
B0.000000000001
C0.00000000001
D0.000000001
Solution & Explanation:First simplify the powers of ten in ((10⁻¹⁶ × 10⁷) ÷ 10²). The result is 10⁻¹¹. Then use 10⁻¹¹ = 1/10¹¹ = 0.00000000001. (Correct choice: C.)
Problem 3Difficulty: Mastery
Evaluate (10⁻¹¹ ÷ 10⁻⁵) ÷ (10⁴). Which fraction equals the result?
A1/10⁹
B1/10¹⁰
C1/10¹¹
D1/10¹²
Solution & Explanation:Simplify the powers of ten in ((10⁻¹¹ ÷ 10⁻⁵) ÷ 10⁴) to get 10⁻¹⁰. Then write 10⁻¹⁰ as 1/10¹⁰, which is 1/10¹⁰. (Correct choice: B.)

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Frequently Asked Questions

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QWhat grade level and standards does this worksheet align with?

This worksheet is designed specifically for Grade 7 Math students. It aligns with educational standard 7.51 (Practice and review Grade 7 math skill 7.51: Negative Exponents for Powers of Ten.).

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