Question

Which of the following is closest to 27.8 x 9.6? 280 300 2,800 3,000

Answer 1

Option (a) is correct.

The closest number to the product of 27.8 and 9.6 is 280

Explanation:

Given : numbers 27.8 and 9.6

We have to find the closest number to the product of 27.8 and 9.6 and choose the correct option from given options.

Consider the given numbers 27.8 and 9.6

Since, we have to find the closest number

Rounding off the given number to the nearest whole number .

We round off to the higher number when the term after decimal is greater than 5 otherwise we round off to smaller one.

Here , 27.8 has 8 after decimal.

So, rounding off, we get, 27.8 ≈ 28

and 9.6 ≈ 10

Thus, 28 × 10 = 280

Thus, The closest number to the product of 27.8 and 9.6 is 280

Answer 2

The correct answer is - 280.

To get to the answer we have to first multiply the given numbers with one another.

27.8 x 9.6 = 266.88

Than we have to see who are the differences between the result we got and the other numbers, the smallest difference means it is the closest number.

280 - 266.88 = 13.12

300 - 266.88 = 33.12

2800 - 266.88 = 2533.12

3000 - 266.88 = 2733.12

Since the result of the multiplying is 266.88, than the closest number of the suggested ones is 280, with only 13.12 the difference between the two. All of the other suggested numbers have bigger differences, thus they are further away from the result.