Question
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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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
Skip to navigation
page 2 of 3
Answers
Answered by
GPT 3.5
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.
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.
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