Scientific Notation Worksheet for 8.EE.A.3

Practice writing numbers in scientific notation and changing them back to standard form. Seven sections also ask students to compare the sizes of numbers.
Grades
Grade 8
Pages
21
File type
PDF
Answer key
Included

Updated Nov 10, 2022

Subject
Math, Algebra
Topic
Scientific notation, Powers of ten
Resource types
Worksheets
Answer key
Included
Standards
8.EE.A.3

Product description

From the author

This scientific notation worksheet for 8th grade math course 8.E E.A.3 is a printable pdf. Students will practice to:

Convert large numbers from standard notation to scientific notation

Convert numbers close to zero to scientific notation

Convert large numbers from scientific notation to standard notation

Convert numbers close to zero to standard notation

Compare two scientific notation numbers

All answers are included.

In the classroom

Teaching tips & learning objectives

Learning objectives

  • Convert a large or small number from standard notation into scientific notation.

  • Convert a number from scientific notation back into standard notation.

  • Estimate and state how many times larger or smaller one quantity expressed in scientific notation is than another.

Teaching tips

  • Work through the sections in order, since each moves to a new skill (converting to scientific notation, then back to standard notation, then comparing magnitudes) rather than repeating the same task.

  • Use the comparison section (pages 14-15) as an assessment of whether students understand exponents conceptually, not just mechanically, since it requires reasoning about relative size rather than direct conversion.

  • Reserve the answer key for self-checking after independent practice, given the sheer number of items (154) in the set.

Skills covered

  • Scientific notation conversion — students convert standard numbers, both large and small, into scientific notation across multiple sections.

  • Standard notation conversion — students convert scientific-notation expressions back into full standard numbers.

  • Magnitude comparison — students state how many times larger or smaller one scientific-notation quantity is than another, matching CCSS 8.EE.A.3's estimation skill.

Good to know

Questions teachers ask about this resource

Does the comparison section ask for an exact multiplier or an estimate?

An estimate — answers are phrased as 'about' a given number of times larger or smaller (for example, 'about 150,000 times larger'), matching the file's rounded comparison format throughout that section.

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Curriculum

Standards, concepts & topics

Standards

  • 8.EE.A.3

Core concepts

  • Scientific notation

  • Powers of ten

  • Order-of-magnitude comparison

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