Question
Multiply \( \left(3.2 \times 10^{6}\right)\left(2.7 \times 10^{-3}\right) \). Write your answer in scientific notation. For example, you'd enter \( 2.3^{*} 10^{\wedge} 4 \) for \( 2.3 \cdot 10^{4} \)
Ask by Peterson Ray. in the United States
Jan 25,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\( 8.64 \times 10^{3} \)
Solution
\( 8.64^{*} 10^{\wedge} 3 \)
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Mind Expander
To multiply \( (3.2 \times 10^{6})(2.7 \times 10^{-3}) \), you first multiply the coefficients: \( 3.2 \times 2.7 = 8.64 \). Then, you add the exponents of 10: \( 10^{6} \times 10^{-3} = 10^{6-3} = 10^{3} \). So, you combine these results to get \( 8.64 \times 10^{3} \). To write it in proper scientific notation, it should be \( 8.64 \times 10^{3} \). Final answer: \( 8.64^{*} 10^{\wedge} 3 \)