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Original Question
Madison says that 579.8×0.001 is the same as 579.8÷103 . Is she correct? Explain your answer.Question
Madison says that 579.8 * 0.001 is the same as 579.8 / 10 * 3 is she correct explain your answer
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Answered by
GPT-4o mini
To evaluate whether Madison's statement is correct, we will calculate both expressions and see if they yield the same result.
**First Expression:**
Calculate \( 579.8 \times 0.001 \).
\[
579.8 \times 0.001 = 0.5798
\]
**Second Expression:**
Calculate \( 579.8 / 10 \times 3 \).
First, divide \( 579.8 \) by \( 10 \):
\[
579.8 / 10 = 57.98
\]
Now, multiply that result by \( 3 \):
\[
57.98 \times 3 = 173.94
\]
Now we have the two results:
- From the first expression: \( 0.5798 \)
- From the second expression: \( 173.94 \)
Since \( 0.5798 \) is not equal to \( 173.94 \), Madison is incorrect.
To summarize:
\( 579.8 \times 0.001 \) does not equal \( 579.8 / 10 \times 3 \).
**First Expression:**
Calculate \( 579.8 \times 0.001 \).
\[
579.8 \times 0.001 = 0.5798
\]
**Second Expression:**
Calculate \( 579.8 / 10 \times 3 \).
First, divide \( 579.8 \) by \( 10 \):
\[
579.8 / 10 = 57.98
\]
Now, multiply that result by \( 3 \):
\[
57.98 \times 3 = 173.94
\]
Now we have the two results:
- From the first expression: \( 0.5798 \)
- From the second expression: \( 173.94 \)
Since \( 0.5798 \) is not equal to \( 173.94 \), Madison is incorrect.
To summarize:
\( 579.8 \times 0.001 \) does not equal \( 579.8 / 10 \times 3 \).
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