Compare Numbers in Scientific Notation
Written by Adi Ackerman, Head Teacher
"Compare Numbers in Scientific Notation" is written for 8th Grade (Ages 13-14), and it covers Common Core 8.EE.A.3. A 7th grader who is already steady on scientific notation can use it too, and an older student can use it as a short review.
8th grade math worksheet: compare pairs like 7.2 × 10⁵ and 9.1 × 10⁴ with <, > or =, then divide to say how many times as large. Answer key included. Part of our comparing in scientific notation collection. Aligned to Common Core standards.
How do I use this worksheet?
Use the comparison sheet first to set the rule, then the maze for practice. Ask students to read their written comparisons aloud to check the inequality symbols.
What students will practice
- Students will compare numbers in scientific notation by the power of 10 first.
- Students will compare first factors when the powers of 10 are equal.
- Students will divide to tell how many times as large one number is than another.
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: Use numbers expressed in the form of a single digit times an integer power of 10 to estimate very large or very small quantities, and to express how many times as much one is than the other.
View all 8.EE.A.3 worksheets →Find this in the curriculum
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FAQ
How do I use this comparing in scientific notation worksheet?
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Use the comparison sheet first to set the rule, then the maze for practice. Ask students to read their written comparisons aloud to check the inequality symbols.
What does this worksheet teach?
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Compare pairs like 7.2 × 10⁵ and 9.1 × 10⁴ with <, > or =, then divide to say how many times as large. The directions on the page read: Write <, > or = in each box for 1 to 12. Divide to answer 13 to 16. An answer key is included.
Can I use this comparing in scientific notation worksheet for homeschool or classroom?
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Yes, both. We made it for 8th grade scientific notation, and it works the same at home or at school. At home, a student can work through it alone and then go over it with you, which shows quickly what is solid and what needs another look. In class it works as independent practice, homework or a warm-up, and you can print one copy or a full set.
How do you compare numbers in scientific notation?
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Compare the powers of 10 first. If they are the same, compare the first factors. So 7.2 × 10⁵ is greater than 9.1 × 10⁴ even though 7.2 is less than 9.1.
What if a number is not written correctly in scientific notation?
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Rewrite it first. Compare Numbers in Scientific Notation includes a pair like 25 × 10³ and 2.5 × 10⁴, which turn out to be equal once 25 × 10³ is rewritten.
How do you find how many times as large one number is?
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Divide the larger number by the smaller one. Divide the first factors and subtract the exponents, then read the result as a whole number or decimal.
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Worksheet Details
| Grade | 8th Grade |
| Subject | Math |
| Topic | Scientific Notation |
| Standard | 8.EE.A.3 |
| 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