Scientific Notation Reference Sheet
Written by Adi Ackerman, Head Teacher
"Scientific Notation Reference Sheet" is written for 8th Grade (Ages 13-14), and it covers Common Core 8.EE.A.4. It also works a grade below or above, as a tool for a student who is ready for it or a quick refresher for an older one.
8th grade math resource: review the a × 10ⁿ form, which numbers qualify and how to convert 52,000,000 and 0.00036 to scientific notation. Part of our converting scientific notation collection. Aligned to Common Core standards.
How do I use this resource?
Hand out the Scientific Notation Reference Sheet first. Work the whole number sheet before the decimal sheet, then use the sorting and matching sheets as checks before estimating.
What students will practice
- Students will state that a is at least 1 and less than 10 and n is an integer.
- Students will see why 46 × 10⁴ and 0.46 × 10⁶ are not in scientific notation.
- Students will follow the decimal point moves that turn 52,000,000 into 5.2 × 10⁷.
Powers of Ten and Scientific Notation Basics
Estimate Quantities as a Digit Times a Power of 10
Convert Both Ways, Whole Numbers
Convert Both Ways, Decimals Less Than One
Fix Numbers Not in Scientific Notation
Is It Scientific Notation? Sort and Fix
Fill In the Missing Exponent or Coefficient
Match Scientific Notation to Standard Form
Curriculum Links
Common Core State Standards
Expressions and Equations · 8th Grade
Standard: Perform operations with numbers expressed in scientific notation, including problems where both decimal and scientific notation are used. Use scientific notation and choose units of appropriate size for measurements of very large or very small quantities (e.g., use millimeters per year for seafloor spreading). Interpret scientific notation that has been generated by technology.
View all 8.EE.A.4 worksheets →Find this in the curriculum
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FAQ
How do I use the Scientific Notation Reference Sheet?
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Hand out the Scientific Notation Reference Sheet first. Work the whole number sheet before the decimal sheet, then use the sorting and matching sheets as checks before estimating.
What is the Scientific Notation Reference Sheet?
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Review the a × 10ⁿ form, which numbers qualify and how to convert 52,000,000 and 0.00036 to scientific notation.
Can I use the Scientific Notation Reference Sheet at home and in the classroom?
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Yes. We made it for 8th Grade scientific notation, and it works the same at home or at school. At home a student can print it and keep it with their school work. Teachers print a copy per student or one for the whole room, whichever the day needs.
How do you convert a small decimal to scientific notation?
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Move the decimal point right until the number is at least 1 and less than 10, and use the number of places as a negative exponent. So 0.0045 = 4.5 × 10⁻³. Convert Both Ways, Decimals Less Than One practices this.
Why is 45 × 10³ not in scientific notation?
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The first factor must be at least 1 and less than 10, and 45 is too large. Move the decimal point one place left and add 1 to the exponent to get 4.5 × 10⁴. Fix Numbers Not in Scientific Notation has students repair forms like this.
How do you convert scientific notation to standard form?
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Move the decimal point right for a positive exponent or left for a negative exponent, as many places as the exponent shows. So 6.1 × 10³ = 6,100. Match Scientific Notation to Standard Form practices this with a lettered bank.
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Worksheet Details
| Grade | 8th Grade |
| Subject | Math |
| Topic | Scientific Notation |
| Standard | 8.EE.A.4 |
| Pages | 1 page |
| Difficulty | Medium |
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Powers of Ten and Scientific Notation Basics
Estimate Quantities as a Digit Times a Power of 10
Convert Both Ways, Whole Numbers
Convert Both Ways, Decimals Less Than One
Fix Numbers Not in Scientific Notation
Is It Scientific Notation? Sort and Fix
Fill In the Missing Exponent or Coefficient
Match Scientific Notation to Standard Form