Ratio, Proportion and Percentages Puzzle – Critical Thinking 7
This kind of math puzzle is an educational activity for practicing children’s math skills. It’s also helpful for adults to have fun and challenge their brains! For additional educational resources, visit the U.S. Department of Education website.
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Challenge:
\((1-\frac{1}{2}) × (1 -\frac{1}{2}) × (1-\frac{1}{4} ) × … × (1-\frac{1}{100} ) =\) ?
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The correct answer is \(\frac{1}{100}\).
First, simplify the expression.
\((1-\frac{1}{2}) × (1 -\frac{1}{2}) × (1-\frac{1}{4} ) × … × (1-\frac{1}{100} ) =\) ?
\((\frac{1}{2} ) × ( \frac{2}{3}) × ( \frac{3}{4}) × … × ( \frac{99}{100}) =\)
Remove the same numbers from both numerator and denominator. For example, cancel out \(2, 3, 4,\) … from both numerator and denominator. You’ll get:\(\frac{1}{100}\)
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