Florida B.E.S.T. MA.8.NSO.1.4
The Standard
Express numbers in scientific notation to represent and approximate very large or very small quantities. Determine how many times larger or smaller one number is compared to a second number.
Florida B.E.S.T. Standards for Mathematics
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students rewrite very large and very small values using a coefficient from 1 to less than 10 and a power of 10. They round leading digits when an estimate is needed. They divide quantities to determine how many times larger or smaller one is than another.
What Mastery Looks Like
- Students convert between standard form and scientific notation and round the coefficient as directed. They divide two quantities and report the result as a clear multiplicative comparison.
Common Misconceptions
- Students may move the decimal in the wrong direction or use a coefficient outside the range from 1 to less than 10. They may think 10⁻⁶ is larger than 10⁻⁴ because 6 is larger than 4. They may subtract quantities instead of dividing to find how many times larger or smaller one is.
How to Assess It
- Exit ticket: Write 73,800,000 to two significant digits in scientific notation, and write 0.000006 in scientific notation. Then state how many times larger 0.000006 is than 0.0000002.
Lesson moves
Ways to Teach It
Give students decimal, word-form, and scientific-notation cards to match, then place each matched set on a floor number line.
Ask, “Why does division, not subtraction, answer how many times larger one quantity is than another?”
Run a relay where teams convert quantities, round coefficients, and calculate scale factors, earning a point only when notation is valid.
Use planet distances or cell sizes from a data table, and have students compare two values with a multiplicative statement.
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Related Standards
- MA.5.NSO.1.1
Express how the value of a digit in a multi-digit number with decimals to the thousandths changes if the digit moves one or more places to the left or right.
- MA.8.NSO.1.6
Solve real-world problems involving operations with numbers expressed in scientific notation.
- MA.5.NSO.1.5
Round multi-digit numbers with decimals to the thousandths to the nearest hundredth, tenth or whole number.
- MA.8.NSO.1.5
Add, subtract, multiply and divide numbers expressed in scientific notation with procedural fluency.
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