Question

Javier rounded to the nearest half to estimate the product of 3 2/5 and -3 7/8 How do the estimate and the actual product compare

Answer 1

Question :- Javier rounded to the nearest half to estimate the product of 3 2/5 and -3 7/8 How do the estimate and the actual product compare ?

A. The actual product is less than the estimate. The numbers differ by less than one.

B. The actual product is greater than the estimate. The numbers differ by less than one.

C. The actual product is less than the estimate. The numbers differ by more than one.

D. The actual product is greater than the estimate. The numbers differ by more than one.

Solution :-

we know that,

• Rounded to the nearest half means make twice the number then round it to the nearest integer and then divide it by 2.

So, first we have estimate the product of 3(2/5) and (-3)(7/8) rounded to the nearest half.

→ 3(2/5) * (-3)(7/8)

→ (17/5) * (-31/8)

→ (-527)/40

→ (- 13.175)

Rounded to the nearest half now,

→ (-13) .

Therefore,

→ Actual product = (-13.175).

→ Estimate Product = (-13).

→ (-13) > (-13.175).

→ Estimate Product > Actual product.

Hence, Option (A) is correct answer. The actual product is less than the estimate. The numbers differ by less than one.