Express your answer in scientific notation.
8.3 × 109 − 2.1 × 107
(1 point)
Responses
−8.279 × 109
−8.279 × 109
6.20 × 102
6.20 × 102
8.279 × 109
8.279 × 109
−6.20 × 102
8.3 × 10^9 − 2.1 × 10^7 = 8.279 × 10^9
To express the answer in scientific notation, we need to subtract the given numbers and then convert it to scientific notation.
Step 1: Subtract the numbers
8.3 × 10^9 - 2.1 × 10^7 = 8.3 × 10^9 - 0.021 × 10^9 = (8.3 - 0.021) × 10^9 = 8.279 × 10^9
Step 2: Express the answer in scientific notation
8.279 × 10^9 is the answer in scientific notation.
Therefore, the correct answer is:
8.279 × 10^9
To subtract the two numbers, 8.3 × 10^9 and 2.1 × 10^7, we have to adjust the exponents so that they match. We can do this by converting 2.1 × 10^7 to scientific notation with the same exponent as 8.3 × 10^9.
2.1 × 10^7 = 0.021 × 10^9
Now, we can subtract the two numbers:
8.3 × 10^9 - 0.021 × 10^9 = (8.3 - 0.021) × 10^9
Calculating the difference, we get:
8.279 × 10^9
Therefore, the answer in scientific notation is 8.279 × 10^9.