Perform operations with numbers expressed in scientific notation, including problems where both decimal 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
In plain words: Students add, subtract, multiply, and divide numbers, including a mix of decimal and scientific notation, choose sensible units for very large or small measurements, and read calculator output.
Quick picks
- Common mistake
- Adding without matching powers of 10: 3 × 10⁵ + 4 × 10⁴ is 3.4 × 10⁵, not 7 × 10⁵.
Example Problems
Express this number in standard form:
Express this number in standard form:
Express this number in standard form:
Khan Academy ResourcesMultiplying & dividing in scientific notationScientific notation word problemsAdding & subtracting in scientific notationApproximating with powers of 10Multiplication and division with powers of tenScientific notation word problem: speed of lightScientific notation word problem: U.S. national debtMultiplying three numbers in scientific notationSubtracting in scientific notationMultiplying multiples of powers of 10Scientific notation word problem: red blood cellsSimplifying in scientific notation challengeApproximating with powers of 10Multiplying & dividing in scientific notation
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