Georgia 8.NR.2.4
The Standard
Add, subtract, multiply and divide numbers expressed in scientific notation, including problems where both decimal and scientific notation are used. Interpret scientific notation that has been generated by technology (e.g., calculators or online technology tools).
Georgia's K-12 Mathematics Standards · Solve problems involving radicals and integer exponents including relevant application situations; apply place value understanding with scientific notation and use scientific notation to explain real phenomena.
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students calculate with very large and very small numbers written in scientific notation. They rewrite decimal values when needed and interpret calculator displays such as 3.2E-6.
What Mastery Looks Like
- Students select the correct rule for each operation and rewrite answers with coefficients from 1 up to 10. They accurately convert mixed forms and explain calculator displays using powers of ten.
Common Misconceptions
- Students often add exponents when adding numbers, instead of first matching powers of ten. They may leave answers such as 18 × 10⁵ or misread 4.2E-7 as 4.2 minus 7.
How to Assess It
- Exit ticket: Solve 4.8 × 10⁶ + 750,000 and 6 × 10⁻⁴ ÷ 3 × 10². Write each answer in proper scientific notation, then explain what 2E-6 means.
Lesson moves
Ways to Teach It
Give pairs coefficient cards and exponent cards, then have them build, calculate, and normalize four scientific notation expressions.
Ask students to explain why exponents cannot simply be added when calculating 3 × 10⁵ + 4 × 10⁴.
Run a relay where teams solve operation cards, normalize each answer, and check it using a calculator.
Compare planet distances and cell sizes by calculating sums, differences, products, and quotients from a prepared data table.
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Printable 8.NR.2.4 Worksheet
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Related Standards
- 5.NR.2
Multiply and divide multi-digit whole numbers to solve relevant, mathematical problems.
- 8.NR.2
Solve problems involving radicals and integer exponents including relevant application situations; apply place value understanding with scientific notation and ...
- 4.NR.2.1
Fluently add and subtract multi-digit numbers to solve practical, mathematical problems using place value understanding, properties of operations, and relations...
- 8.NR.2.3
Use numbers expressed in scientific notation to estimate very large or very small quantities, and to express how many times as much one is than the other.
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