Question
Eighth grade \( > \) D. 5 Multiply numbers written in scientific notation yzU Multiply. \[ \left(4 \times 10^{8}\right)\left(2 \times 10^{1}\right) \]
Ask by Allan Long. in the United States
Mar 15,2025
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Tutor-Verified Answer
Answer
The product is \(8 \times 10^{9}\).
Solution
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Bonus Knowledge
To multiply the numbers in scientific notation, you first multiply the coefficients (the numbers in front) and then add the exponents of the base 10. So, for \((4 \times 10^{8})\) and \((2 \times 10^{1})\): 1. Multiply the coefficients: \[4 \times 2 = 8\] 2. Add the exponents: \[8 + 1 = 9\] Putting it all together, you get: \[8 \times 10^{9}\] So, \(\left(4 \times 10^{8}\right)\left(2 \times 10^{1}\right) = 8 \times 10^{9}\).
