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Question
Jordan wrote 4,500 in scientific notation as 4.5 × 102. Is this correct? If not, why not?
(1 point)
Responses
The answer is correct.
The answer is correct.
The answer is not correct, because the factor is not between 1 and 9.
The answer is not correct, because the factor is not between 1 and 9.
The answer is not correct, because the power of ten should be 103.
The answer is not correct, because the power of ten should be 10 3 .
The answer is not correct, because the factor is not between 1 and 9 and the power of ten should be 103.
The answer is not correct, because the factor is not between 1 and 9 and the power of ten should be 10 3.
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The answer is not correct, because the factor is not between 1 and 9 but the power of ten should be 3.
To determine if the scientific notation is correct for the number 4,500, we need to correctly identify the factor and power of ten.
In scientific notation, a number is written in the form of "a × 10^n", where "a" is the factor and "10^n" represents the power of ten.
In this case, the given scientific notation is 4.5 × 10^2, which means that the factor is 4.5 and the power of ten is 2.
To check if this is correct, we need to compare the factor to the required range of 1 to 9, and the power of ten to the correct value, which should be 10^3.
For the factor, 4.5 does not fall between 1 and 9. Therefore, the answer is not correct.
Additionally, the power of ten should be 10^3, not 10^2. So, the correct scientific notation for 4,500 would be 4.5 × 10^3.
Therefore, the statement "The answer is not correct, because the factor is not between 1 and 9 and the power of ten should be 10^3" is the correct response.