What is the sum of 6.3×10^3 and 2.41-10^4 ? Use scientific notation to express your answer

Answer 1

To find the sum of \(6.3 \times 10^3\) and \(2.41 \times 10^{-4}\), we first need to express both numbers in the same power of ten.

1. Convert \(6.3 \times 10^3\) into a format that allows for easy addition: \[ 6.3 \times 10^3 = 6300 \]

2. Convert \(2.41 \times 10^{-4}\) into standard decimal: \[ 2.41 \times 10^{-4} = 0.000241 \]

3. Now we align the two numbers for addition: \[ 6300.000000 + 0.000241 \]

4. Performing the addition: \[ 6300.000241 \]

5. Now we convert \(6300.000241\) back to scientific notation. \[ 6300.000241 \approx 6.30000241 \times 10^3 \] However, for simplicity and usual practice in scientific notation, we round it appropriately. Hence: \[ 6300.000241 \approx 6.3 \times 10^3 \]

So, the final answer, expressed in scientific notation, is: \[ \boxed{6.3 \times 10^3} \]

Note: Since \(2.41 \times 10^{-4}\) is much smaller than \(6.3 \times 10^3\), it does not significantly change the value of \(6.3 \times 10^3\) when added. Thus, the sum rounded remains \(6.3 \times 10^3\).