Maryland Math 8.NOS.B.5.b
The Standard
- 8.NOS.B.5
- Apply scientific notation to represent and compare very large and very small quantities in context, and use technology to compute with numbers in scientific notation.
Use scientific notation to model and compute with real-world quantities, choose appropriate units, and interpret their meaning based on the context.
Maryland College and Career Ready Standards for Mathematics (2025) · REASON WITH EXPONENTS TO EXPRESS AND INTERPRET QUANTITIES.
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students write large and tiny real-world measurements in scientific notation. They calculate with those measurements, choose useful units, and explain what their answers mean.
What Mastery Looks Like
- A student converts 4 × 10^6 meters to 4 × 10^3 kilometers before comparing it with a 5 × 10^3 kilometer trip. They find that the first trip is 0.8 times as long and explain the comparison.
Common Misconceptions
- Students may read 10^-6 as a negative measurement rather than a small positive one. They may add exponents when adding measurements, or give a calculated answer without checking its units.
How to Assess It
- Exit ticket: A probe travels 6 × 10^5 kilometers in 3 × 10^2 hours. Find its average speed in scientific notation, choose a useful unit, and explain what the answer means.
Lesson moves
Ways to Teach It
Give pairs cards showing widths of a bacterium (0.000002 m) and a hair (0.00007 m); match each with scientific notation and micrometer cards.
Ask, 'A radio signal travels 3 × 10^5 kilometers each second. How far does it travel in 10 seconds, and why use kilometers?'
Match race: pair (2 × 10^6 km) × (3 × 10^2) and (6 × 10^6 km) ÷ (2 × 10^2) with answer cards.
Use the Moon's distance, 3.84 × 10^5 km, and light speed, 3 × 10^5 km/s; calculate signal travel time in seconds.
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Printable 8.NOS.B.5.b Worksheet
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Related Standards
- 7.AT.C.8
Use variables to represent quantities and write and solve equations to model and reason about relationships in context.
- 8.NOS.B.5
Apply scientific notation to represent and compare very large and very small quantities in context, and use technology to compute with numbers in scientific not...
- 5.NOS.B.7.e
Represent and explain the computation by connecting concrete models, drawings, and/or equations to the meaning of multiplication and division.
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