Question

Jamie says the value of 1.43 × (− 18/35) is close to −0.75. Student A says this estimate is reasonable because the product is negative and about half of 1.5. Student B says you could find the product using a calculator as follows: "Divide −18 by 35, multiply the quotient by 1.43, then round the product to the nearest hundredth." Does student B's approach to find the product justify the claim that Jamie's estimate is reasonable?

Answer 1

Explanation:

Yes, Student B's approach to find the product justifies the claim that Jamie"s estimate is reasonable.

The given equation is:

`1.43{*}((-18)/(35))`

Now, solving the above equation by dividing -18 by 35, we get

`1.43{*}(-0.5142)`

Multiplying the quotient by 1.43, we get

`-0.7354` which is nearly equal to
`-0.75`. And also, if we divide 1.5 by 2, we get 0.75.

Thus, the estimate is reasonable.