Question
5. Multiply or divide. Write answers in scientific notation. L19 a. \( \left(5.3 \times 10^{5}\right) \cdot\left(4 \times 10^{\circ}\right) \)
Ask by Pollard Rose. in the United States
Mar 22,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The answer is \(2.12 \times 10^{6}\).
Solution
Calculate or simplify the expression \( (5.3 \times 10^{5}) \cdot (4 \times 10^{0}) \).
Calculate the value by following steps:
- step0: Calculate:
\(5.3\times 10^{5}\left(4\times 10^{0}\right)\)
- step1: Evaluate the power:
\(5.3\times 10^{5}\left(4\times 1\right)\)
- step2: Remove the parentheses:
\(5.3\times 10^{5}\times 4\times 1\)
- step3: Rewrite the expression:
\(5.3\times 10^{5}\times 4\)
- step4: Multiply the terms:
\(21.2\times 10^{5}\)
- step5: Rewrite the expression:
\(21.2\times 100000\)
- step6: Multiply the numbers:
\(2120000\)
The result of multiplying \(5.3 \times 10^{5}\) by \(4 \times 10^{0}\) is \(2.12 \times 10^{6}\) in scientific notation.
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Simplify this solution Mind Expander
To solve \( (5.3 \times 10^{5}) \cdot (4 \times 10^{0}) \), you first multiply the coefficients: \( 5.3 \cdot 4 = 21.2 \). Then, you add the exponents of the powers of ten: \( 5 + 0 = 5 \). So, you combine those results to get \( 21.2 \times 10^{5} \). Since scientific notation requires a coefficient between 1 and 10, you can adjust it to \( 2.12 \times 10^{6} \). So, the final answer in scientific notation is \( 2.12 \times 10^{6} \).
