What is the sum of 6.3×103

Question

and 2.41×104
? Use scientific notation to express your answer.(1 point)

(blank) x (blank)

Answer 1

To add the numbers \(6.3 \times 10^3\) and \(2.41 \times 10^4\), we first need to express both numbers with the same exponent.

1. Convert \(6.3 \times 10^3\) to have the same exponent as \(2.41 \times 10^4\): \[ 6.3 \times 10^3 = 6.3 \times 10^3 \times \frac{10^1}{10^1} = 6.3 \times 10^4 \div 10 = 0.63 \times 10^4 \]

2. Now we can add \(0.63 \times 10^4\) and \(2.41 \times 10^4\): \[ 0.63 \times 10^4 + 2.41 \times 10^4 = (0.63 + 2.41) \times 10^4 = 3.04 \times 10^4 \]

Thus, the sum of \(6.3 \times 10^3\) and \(2.41 \times 10^4\) in scientific notation is: \[ \boxed{3.04 \times 10^4} \]