Express your answer in scientific notation.
8.3 x 10^9 - 2.1 x 10^7 (1 point)
-8.279 x 10^9
6.20 x 10^2
8.279 x 10^9
-6.20 x 10^2
Explain why
The correct answer is 8.279 x 10^9.
To subtract two numbers written in scientific notation, we need to make sure that the exponents are the same. In this case, we can rewrite 2.1 x 10^7 as 0.021 x 10^9.
Now, subtracting the two numbers, we get:
8.3 x 10^9 - 0.021 x 10^9 = 8.279 x 10^9
So the final answer in scientific notation is 8.279 x 10^9.
To express the given expression in scientific notation, follow these steps:
1. Perform the subtraction of the numbers without considering the exponents:
8.3 x 10^9 - 2.1 x 10^7 = 8.3 x 10^9 - 0.021 x 10^9
2. To combine the like terms, convert each number to have the same exponent:
8.3 x 10^9 - 0.021 x 10^9 = 8.3 x 10^9 - 0.021 x 10^9 = 8.279 x 10^9
3. Finally, write the result in scientific notation:
8.279 x 10^9
Therefore, the answer is 8.279 x 10^9.
To subtract numbers in scientific notation, you need to have the same exponent. In this case, both numbers already have the same exponent of 10^9.
Now, subtract the coefficients: 8.3 - 2.1 = 6.2.
Therefore, the answer in scientific notation is 6.20 x 10^9. This represents 6.20 billion.