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

Answer:

Step-by-step explanation:

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

The given equation is:

$1.43{\times}(\frac{-18}{35})$

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

$1.43{\times}(-0.5142)$

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.