To find 160% of 40, we can first convert the percentage to a decimal and then multiply by 40.
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Convert 160% to a decimal:
\( 160% = \frac{160}{100} = 1.6 \) -
Now multiply by 40:
\( 1.6 \times 40 = 64 \)
Thus, 160% of 40 is 64.
Now, let's evaluate each student's work:
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Cam's work: \( 16 \times 40 = 640 \) - This is correct, and it looks like he meant to say 160% is the same as 1.6, but he didn't clarify his steps correctly.
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Gitana's work: \( 1.6 \times 40 = 64 \) - This is the correct calculation. Gitana has the correct multiplication.
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Naoko's work: \( 0.16 \times 40 \) = 6.4 - This is incorrect, as Naoko used the wrong decimal (0.16 instead of 1.6).
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Sanjay's work: \( 160 \times 40 = 6400 \) - This is also incorrect because he misinterpreted the percentage and did not convert it to a decimal.
Therefore, the student whose work is correct is Gitana.