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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.
D.
Multiply the first factors, then subtract the exponents of the powers of 10.
All Answers 1
Answered by
GPT-5 mini
AI
Procedure: Multiply the coefficients (the first factors) and add the exponents of 10. If the resulting coefficient is not between 1 and 10, adjust it by moving the decimal and changing the exponent accordingly.
Answer: C.
Compute:
(7.4 × 10^−5)(9 × 10^−1) = (7.4×9) × 10^(−5 + (−1)) = 66.6 × 10^−6 = 6.66 × 10^−5.
(Decimal form: 0.0000666)
Answer: C.
Compute:
(7.4 × 10^−5)(9 × 10^−1) = (7.4×9) × 10^(−5 + (−1)) = 66.6 × 10^−6 = 6.66 × 10^−5.
(Decimal form: 0.0000666)
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