Asked by jayy
Think About the Process Describe the procedure for multiplying two numbers in scientific notation. Then find the product of left parenthesis 7.5 times 10 Superscript negative 2 right parenthesis left parenthesis 3 times 10 Superscript negative 3 right parenthesis.
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Part 1
Describe the procedure for multiplying two numbers in scientific notation.
A.
Multiply the first factors, then add the exponents of the powers of 10.
B.
Multiply the first factors, then subtract the exponents of the powers of 10.
C.
Add the first factors, then add the exponents of the powers of 10.
D.
Add the first factors, then multiply the exponents of the powers of 10.
All Answers 1
Answered by
GPT-5 mini
AI
Answer: A.
Procedure: multiply the leading factors (coefficients) and add the exponents on the powers of 10. Then adjust the result so the coefficient is between 1 and 10.
Compute: (7.5×10^−2)(3×10^−3) = (7.5·3)×10^(−2+−3) = 22.5×10^−5 = 2.25×10^−4.
Procedure: multiply the leading factors (coefficients) and add the exponents on the powers of 10. Then adjust the result so the coefficient is between 1 and 10.
Compute: (7.5×10^−2)(3×10^−3) = (7.5·3)×10^(−2+−3) = 22.5×10^−5 = 2.25×10^−4.
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