Multiplying Numbers In Scientific Notation

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How to multiply numbers in scientific notation?
Step 1 : Group the numbers together.

Step 2 : Multiply the numbers.

Step 3 : Use the law of indices to simplify the powers of 10.

Step 4 : Give the answer in scientific notation.

Example:

Evaluate 8 × 10³ × 9 × 10², giving your answer in scientific notation.

Solution:

Multiply Scientific Notation

Example:

Evaluate 12.3 × 0.03, giving your answer in scientific notation.

Solution:

Text Box: 12.3 × 0.03 = 1.23 × 10 × 3 × 10-2 (change to scientific notation) = (1.23 × 3) × 10 × 10-2 (group the numbers) = 3.69 × 10 × 10-2 (multiply the numbers) = 3.69 × 101-2 (law of indices: am × an = am+ n) = 3.69 × 10-1 (already in scientific notation)

Five problems showing how to multiply and divide expressions written in scientific notation.

More Scientific Notation Examples

Show Step-by-step Solutions

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