Question

question 9
add 5.6 x 10^8 + 8.2 x 10^2
to type an exponent use the caret (^) for example:
10 to the third power = 10^3
hint: your answer should have 9 significant figures.

Explanation:

Step1: Rewrite to same exponent

Convert $8.2 \times 10^{2}$ to match $10^{8}$:
$8.2 \times 10^{2} = 0.0000082 \times 10^{8}$

Step2: Add the coefficients

Add the two terms with the same exponent:
$5.6 \times 10^{8} + 0.0000082 \times 10^{8} = (5.6 + 0.0000082) \times 10^{8}$

Step3: Simplify the sum

Calculate the coefficient sum and format:
$5.6000082 \times 10^{8}$

Step4: Verify significant figures

Ensure 9 significant figures: $5.60000820 \times 10^{8}$

Answer:

$5.60000820 \times 10^8$ (or 5.60000820^8 in the required caret format for exponents)