QQuestionMathematics
QuestionMathematics
# What is the sum of $5.3 \times 10^{5}$ and $3.8 \times 10^{4}$ ?
A. $4.33 \times 10^{4}$
B. $5.68 \times 10^{5}$
C. $9.1 \times 10^{9}$
D. $9.1 \times 10^{5}$
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Answer
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Step 1:I'll solve this step by step using the precise LaTeX formatting guidelines:
Step 2:: Identify the numbers
- First number: $$5.3 \times 10^{5}
- Second number: 3.8 \times 10^{4}
Step 3:: Align the exponents
- $$3.8 \times 10^{4}$$ (already in the correct form)
To add numbers in scientific notation, we need to convert them to the same power of 10.
Step 4:: Add the numbers
53 \times 10^{4} + 3.8 \times 10^{4} = 56.8 \times 10^{4} = 5.68 \times 10^{5}
Step 5:: Check the answer choices
Comparing our result $$5.68 \times 10^{5}$$ with the given options, this matches option B.
Final Answer
B. 5.68 \times 10^{5}
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