Two students are using estimation to determine reasonable solutions to the expression 89.1 times 9.3. Katie uses the expression 90 times 10. Amaya uses the expression 89 times 9. Which is the best comparison of the estimates and the actual product?
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Amaya's estimate is the closer one.
D. Katie's estimate will be greater than the actual product, and Amaya's estimate will be less than the actual product.
Explanation:-
The original expression is 89.1 x 9.3. Katie changed the 89.1 to 99 (difference of 9.9) and the 9.3 to 10 (difference of 0.7). On the other hand, Amaya changed the 89.1 to 89 (0.1 difference) and the 9.3 to 9 (0.3 difference).
Therefore the best comparison would be Amaya's estimate since her numbers are closer to the original expression.
Katie's estimate will be greater than the actual product because she rounded up the numbers and Amaya's estimate will be less than the actual product because she rounded down the numbers.
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Answer: D
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