Stuart Marsh
04/27/2024 · Senior High School
10. Find \( \left(-5.3 \times 10^{3}\right)-\left(-8 \times 10^{2}\right) \). Use what you know about scientific notation to express your answer with a power of 10 .
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Step-by-step Solution
Calculate or simplify the expression \( -5.3*10^3-(-8*10^2) \).
Calculate the value by following steps:
- step0: Calculate:
\(-5.3\times 10^{3}--8\times 10^{2}\)
- step1: Remove the parentheses:
\(-5.3\times 10^{3}+8\times 10^{2}\)
- step2: Rewrite the expression:
\(-53\times 10^{2}+8\times 10^{2}\)
- step3: Collect like terms:
\(\left(-53+8\right)\times 10^{2}\)
- step4: Add the numbers:
\(-45\times 10^{2}\)
- step5: Evaluate the power:
\(-45\times 100\)
- step6: Multiply the numbers:
\(-4500\)
The result of \( \left(-5.3 \times 10^{3}\right)-\left(-8 \times 10^{2}\right) \) is -4500.
To express the answer with a power of 10, we can rewrite -4500 as -4.5 * 10^3.
Quick Answer
-4.5 * 10^3
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