Free Printable WorksheetMathGrade 8Math Curriculum8.EE.A.3

8.32 Converting Between Standard Form and Scientific Notation Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 8 Math worksheet provides structured practice on 8.32 Converting Between Standard Form and Scientific Notation. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

8.32 Converting Between Standard Form and Scientific Notation - Which scientific notation (or standard form) correctly represents the number given? (CCSS 8.EE.A.3; CA 8.EE.A.3; MA 8.EE.A.3)

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 8

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 8.32 Converting Between Standard Form and Scientific Notation skill assessments:

Problem 1Difficulty: Hard
A galaxy is about 93,000,000,000,000 kilometers away. Which option writes this distance in scientific notation?
A9.3 × 1012
B93 × 1012
C9.3 × 1013
D9.3 × 10^-13
Solution & Explanation:Move the decimal 13 places left so the coefficient is between 1 and 10. That gives 9.3. Because the move is left for a number greater than 1, the exponent is 13. So the scientific notation is 9.3 × 1013.
Problem 2Difficulty: Hard
A science report gives a reaction time of 0.000000000437 second. Which scientific notation is correct?
A4.37 × 1010
B43.7 × 10^-11
C4.37 × 10^-10
D4.37 × 10^-9
Solution & Explanation:Move the decimal 10 places right so the coefficient is between 1 and 10. That gives 4.37. Because the move is right for a number less than 1, the exponent is -10. So the scientific notation is 4.37 × 10^-10.
Problem 3Difficulty: Hard
True or False: 0.00000063 = 6.3 × 10^-5.
ATrue
BFalse
Solution & Explanation:Moving the decimal in 0.00000063 six places right gives 6.3, so the correct exponent is -7. Therefore 0.00000063 = 6.3 × 10^-7.

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QWhat grade level and standards does this worksheet align with?

This worksheet is designed specifically for Grade 8 Math students. It aligns with educational standard 8.EE.A.3 (Primary standard selected for prompt fields: CCSS 8.EE.A.3. Skill statement: Which expression correctly converts between standard form and scientific notation? Students rewrite very large and very small numbers using a coefficient from 1 to less than 10 multiplied by a power of 10. Associated standards listed with this skill: CCSS 8.EE.A.3; CA 8.EE.A.3; MA 8.EE.A.3. Use this embedded wording as the best available supporting standard description for this workflow.).

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