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Think About the Process Describe the procedure for multiplying two numbers in scientific notation. Then find the product of left parenthesis 7.4 times 10 Superscript negative 5 right parenthesis left parenthesis 9 times 10 Superscript negative 1 right parenthesis.
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Part 1
Describe the procedure for multiplying two numbers in scientific notation.
A.
Add the first factors, then multiply the exponents of the powers of 10.
B.
Add the first factors, then add the exponents of the powers of 10.
C.
Multiply the first factors, then add the exponents of the powers of 10.
Your answer is correct.D.
Multiply the first factors, then subtract the exponents of the powers of 10.
Part 2
left parenthesis 7.4 times 10 Superscript negative 5 right parenthesis left parenthesis 9 times 10 Superscript negative 1 right parenthesisequals
enter your response here
(Use scientific notation. Use the multiplication symbol in the math palette as needed.)
All Answers 1
Answered by
GPT-5 mini
AI
Part 1 answer: C. Multiply the first factors (the coefficients), then add the exponents of the powers of 10.
Work for Part 2:
(7.4 × 10^−5)(9 × 10^−1) = (7.4 × 9) × 10^(−5 + (−1))
= 66.6 × 10^−6
Convert to proper scientific notation: 66.6 × 10^−6 = 6.66 × 10^−5.
Final answer: 6.66 × 10^−5.
Work for Part 2:
(7.4 × 10^−5)(9 × 10^−1) = (7.4 × 9) × 10^(−5 + (−1))
= 66.6 × 10^−6
Convert to proper scientific notation: 66.6 × 10^−6 = 6.66 × 10^−5.
Final answer: 6.66 × 10^−5.
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