Question

Jamie says the value of the expression 1.43 × (−
16

31
) is close to −0.75. Does Jamie's estimate seem reasonable? Explain.

Jamie's estimate reasonable. The product of the expression is and about half of .

Answer 1

Jamie's estimate is reasonable.

Explanation:

The expression is $1.43 \times\left(-\frac{16}{31}\right)$

Dividing the term $\left(-\frac{16}{31}\right)$, we get,

$1.43 \times(-0.51613)$

Multiplying the terms, we have,

$-0.7380659$

But, Jamie's estimate is $-0.75$

The difference between the two values is $0.0119341$ which is negligible.

Hence, Jamie's estimate is reasonable.