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Without using a calculator, determine the product of the following problem.
Without using a calculator, determine the product of the following problem.
Questions to Consider
Questions to Consider
+ What do you notice about multiplying a series of fractions where the previous denominator is the numerator of the following fraction?
+ What do you notice about multiplying a series of fractions where the previous denominator is the numerator of the following fraction?
+ What other types of questions could you ask and answer knowing this pattern? (i.e. what happens when you continue the pattern to 99/100 or 999/1,000?)
+ What other types of questions could you ask and answer knowing this pattern? (i.e. what happens when you continue the pattern to 99/100 or 999/1,000?)
+ Try adjusting the pattern to see what effect it has on the product. (as an example, try doubling the how much the numerator changes by each time.)
+ Try adjusting the pattern to see what effect it has on the product. (as an example, try doubling the how much the numerator changes by each time.)
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