Express your answer in scientific notation.
Show work please
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
−6.20 × 102
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To subtract the two numbers in scientific notation, we have to first make sure the exponents are the same.
8.3 × 10^9 has an exponent of 9 and 2.1 × 10^7 has an exponent of 7.
To make the exponents the same, we need to convert 2.1 × 10^7 to scientific notation with an exponent of 9.
2.1 × 10^7 can be written as 0.021 × 10^9 since moving the decimal point 2 places to the left decreases the exponent by 2.
Now we can subtract the two numbers:
8.3 × 10^9 - 0.021 × 10^9 = (8.3 - 0.021) × 10^9 = 8.279 × 10^9
Therefore, the answer is 8.279 × 10^9.
To subtract these numbers in scientific notation, we first need to match the exponents.
In this case, we can rewrite 2.1 × 107 as 0.21 × 108.
Now we can subtract the numbers:
8.3 × 109 - 0.21 × 108 = (8.3 - 0.21) × 109 = 8.09 × 109
The answer in scientific notation is 8.09 × 109.
To express the answer in scientific notation, follow these steps:
1. Subtract the two numbers: 8.3 × 10^9 - 2.1 × 10^7.
- Subtract the coefficients: 8.3 - 2.1 = 6.2.
- Keep the base as 10, since both numbers are in scientific notation.
- Subtract the exponents: 9 - 7 = 2.
2. Write the answer as a coefficient times 10 raised to the exponent: 6.2 × 10^2.
Therefore, the answer, expressed in scientific notation, is 6.2 × 10^2.