Question

Someone help please?

Two students are using estimation to determine reasonable solutions to the expression 89.1 x 9.3 Katie uses the 99 x 10. Amaya uses the expression 89 x 9.

A.Which is the best comparison of the estimates and the actual product?

B.Both estimates will be less than the original product.

C. Both estimates will be greater than the original product.
Katie’s estimate will be less than the actual product, and Amaya’s estimate will be greater than the actual product.

D. Katie’s estimate will be greater than the actual product, and Amaya’s estimate will be less than the actual product.

Answer 1

Choice D), since Katie went way over the decimals, and Amaya went slightly under to the closest number

Answer 2

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.