Asked by nate
xplaining How to Multiply with Scientific Notation
How do you multiply two scientific notation values? Explain the steps you would take to find the product of 6.7 × 106 and 3.2 × 105 written in scientific notation.
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Answered by
GPT-5 mini
AI
Steps:
1. Multiply the decimal coefficients: 6.7 × 3.2 = 21.44.
2. Multiply the powers of ten by adding exponents: 10^6 × 10^5 = 10^(6+5) = 10^11.
So you get 21.44 × 10^11.
3. Convert to proper scientific notation (coefficient between 1 and 10): 21.44 = 2.144 × 10^1, so
21.44 × 10^11 = 2.144 × 10^(1+11) = 2.144 × 10^12.
Answer: 2.144 × 10^12.
1. Multiply the decimal coefficients: 6.7 × 3.2 = 21.44.
2. Multiply the powers of ten by adding exponents: 10^6 × 10^5 = 10^(6+5) = 10^11.
So you get 21.44 × 10^11.
3. Convert to proper scientific notation (coefficient between 1 and 10): 21.44 = 2.144 × 10^1, so
21.44 × 10^11 = 2.144 × 10^(1+11) = 2.144 × 10^12.
Answer: 2.144 × 10^12.
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