Free Printable WorksheetScienceGrade 9Science CurriculumNGSS HS-PS1-1, HS-ESS1-2, HS-ETS1-4

9.4 Scientific Notation, Precision, and Significant Figures Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Physical Science with Earth and Science Science worksheet provides structured practice on 9.4 Scientific Notation, Precision, and Significant Figures. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

Scientific Notation, Precision, and Significant Figures: MCQ focus: interpret very large and very small quantities, choose reasonable precision, and apply significant-figure rules in answer choices. Aligned to NGSS high school Physical Science, Earth and Space Science, and Engineering Design; NRC/DCI; SEP/CCC; CCSS math/literacy connections; selected CA NGSS, NYSSLS, Florida CPALMS, and Texas TEKS references NGSS HS-PS1-1, HS-ESS1-2, HS-ETS1-4 - NGSS-aligned Scientific Notation, Precision, and Significant Figures: NGSS: HS-PS1-1; HS-ESS1-2; HS-ETS1-4; NRC/DCI: PS1.A; ESS1.A; ETS1.B; SEP/CCC: Computational thinking / Scale; Common: HSN-Q.A.2-3; MP.2; State refs: CA/NYSSLS aligned HS practice PEs; FL SC.912.N.1; TX science and engineering practices.

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

Physical Science with Earth and Science

Subject

Science

Domain

Science 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 9.4 Scientific Notation, Precision, and Significant Figures skill assessments:

Problem 1Difficulty: Mastery

A design simulation output is 2.71828E-5, but the input measurements allow only three significant figures. Which value should be stored in the final report?

A2.72 x 10^-5

B2.73 x 10^-5

C2.7 x 10^-5

D2.718 x 10^-5

Solution & Explanation:To three significant figures, keep 2, 7, and 1, then round because the next digit is 8. The result is 2.72 x 10^-5.

Problem 2Difficulty: Mastery

A measured period is 0.00520 s. Which pair is equivalent and preserves the significant figures?

A5.20 x 10^-3 s and 5.20 ms

B0.520 x 10^-2 s and 52.0 ms

C5.20 x 10³ s and 5.20 ms

D5.2 x 10^-3 s and 5.2 ms

Solution & Explanation:0.00520 s is 5.20 x 10^-3 s. Since 1 ms = 10^-3 s, the same period is 5.20 ms with the same three significant figures.

Problem 3Difficulty: Mastery

A student adds 18.75 cm + 3.2 cm and rounds to 22 cm because 3.2 has two significant figures. What should the student report instead?

A21.95 cm

B21.9 cm

C22 cm

D22.0 cm

Solution & Explanation:For addition, round by decimal place, not by significant figures. The sum is 21.95 cm, and the least precise input is to tenths, so the answer is 22.0 cm.

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Frequently Asked Questions

Common questions about printing, using, and solving this worksheet

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QWhat grade level and standards does this worksheet align with?

This worksheet is designed specifically for Physical Science with Earth and Science Science students. It aligns with educational standard NGSS HS-PS1-1, HS-ESS1-2, HS-ETS1-4 (NGSS: HS-PS1-1; HS-ESS1-2; HS-ETS1-4; NRC/DCI: PS1.A; ESS1.A; ETS1.B; SEP/CCC: Computational thinking / Scale; Common: HSN-Q.A.2-3; MP.2; State refs: CA/NYSSLS aligned HS practice PEs; FL SC.912.N.1; TX science and engineering practices.).