To add the numbers \( 6.3 \times 10^3 \) and \( 2.41 \times 10^4 \), you first need to express them with the same power of ten.
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Convert \( 6.3 \times 10^3 \) to the same power of ten as \( 2.41 \times 10^4 \):
- \( 6.3 \times 10^3 = 0.63 \times 10^4 \)
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Now we can add the two numbers:
- \( 0.63 \times 10^4 + 2.41 \times 10^4 = (0.63 + 2.41) \times 10^4 \)
- \( 0.63 + 2.41 = 3.04 \)
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So, the sum is:
- \( 3.04 \times 10^4 \)
The answer in scientific notation is \( 3.04 \times 10^4 \).