Question

Gena and her friends each estimated the quotient of –137.56 divided by –6.12 using compatible numbers. Which shows the best estimate using compatible numbers?

Answer 1

C.
`(-135)/(-7)=22.5`

Explanation:

We are given that,

Gena estimated the quotient
`(-137.56)/(-6.12)=22.48`.

Now, as we know that,

Compatible numbers are the integers in the numerator and denominator that are closest to the given numbers (in decimals), which are easy to compute.

As we have the numbers -137.56 and -6.12 in the numerator and denominator respectively, which gives the quotient 22.48.

Thus, the closest integers to these numbers that gives the same quotient is -135 and -7 such that
`(-135)/(-7) =22.5`

i.e.
`(-137.56)/(-6.12)=22.48` is same as
`(-135)/(-7)=22.5`

Hence, option C is correct.

Answer 2

Answer: Third Option is correct.

Explanation:

Since we have given that

-137.56 ÷ 6.12

which is equal to 22.47≈22.5 approx.

We need to find the best estimate using compatible numbers .

we will go with the options:

1) -140÷-7 = 20

But our actual answer is 22.5, so it is quite far .

2) -140÷6=23.333333

but again our actual answer is only 22.5 but

23.34 >22.5

4) -135÷-5=27

Again 27>22.5 so, it can't be our best estimate answer.

3) -135 ÷ -7=22.5

which is exactly equal to our required answer.

So, Third Option is correct.