NY Next Generation Math NY-8.EE.4
The Standard
Perform multiplication and division with numbers expressed in scientific notation, including problems where both standard decimal form and scientific notation are used. Use scientific notation and choose units of appropriate size for measurements of very large or very small quantities. Interpret scientific notation that has been generated by technology.
New York State Next Generation Mathematics Learning Standards
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students multiply and divide quantities written in scientific notation, including problems mixed with decimal form. They choose useful units and interpret scientific notation shown by calculators or other technology.
What Mastery Looks Like
- The student correctly combines coefficients and powers of ten, then rewrites the result in scientific notation. The student can explain calculator notation such as 4.2E6 and select sensible measurement units.
Common Misconceptions
- Students may add exponents when dividing or divide exponents instead of subtracting them. They may leave a coefficient outside the usual range or misread E notation as multiplication by E.
How to Assess It
- A spacecraft travels 6 times 10 to the eighth kilometers in 3 times 10 squared hours. Ask students to find its rate in kilometers per hour.
Lesson moves
Ways to Teach It
Use coefficient and exponent cards to model multiplying and dividing scientific-notation quantities separately before combining the results.
Ask students to explain what 3.7E-5 means on a calculator display and write it in decimal form.
Run a scientific-notation error hunt featuring exponent operations, decimal conversion, and coefficient normalization.
Choose useful units for distances from cell widths to planetary spans, then calculate with the converted scientific notation.
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