QQuestionMathematics
QuestionMathematics
Jeremy incorrectly says that 7 (1 / 8) is the same as 7.18. Convert 7 (1 / 8) to a decimal correctly, then explain Jeremy's likely error.
A. 7 (1 / 8) = 7.125; Jeremy likely misinterpreted the fraction as a decimal.
B. 7 (1 / 8) = 7.18; Jeremy likely made a rounding error.
C. 7 (1 / 8) = 7.875; Jeremy likely misread the fraction.
D. 7 (1 / 8) = 7.081; Jeremy likely used the wrong conversion.
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Answer
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Step 1:Let's solve this step by step:
Step 2:: Convert 7 (1 / 8) to a decimal
• $$\frac{1}{8} = 0.125
• To convert a mixed number to a decimal, first convert the fraction • Add this to the whole number 7
Step 3:: Perform the decimal addition
7 + 0.125 = 7.125
Step 4:: Verify the calculation
• $$7 (1/8) = 7.125
• This matches option A exactly
Step 5:: Analyze Jeremy's likely error
• Jeremy said 7.18, which is close to but not the same as 7.125 • This suggests he likely misinterpreted the fraction as a decimal • Specifically, he may have incorrectly read 1 / 8 as 0.18 instead of 0.125
Final Answer
Key Insights: - Mixed numbers convert by adding the whole number to the decimal equivalent of the fraction - \frac{1}{8} = 0.125 - Always carefully convert fractions to their precise decimal representation
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