Question

What is the best estimate of the difference?

(34/8-16/3) - 14/9

a)-3
b)-2 1/2
c)7
d)7 1/2

Answer 1

Hello.

The answer would be

b)-2 1/2
34/8 = about 4 3/4
16/3 = about 5 1/3



Have a nice day

Answer 2

Option (a) is correct.

The best estimate of the difference for the given numbers is -3.

Explanation:

Given :
`((34)/(8)- (16)/(3) )-(14)/(9)`

We have to find the best estimate of the difference for the given numbers.

Consider the given
`((34)/(8)- (16)/(3) )-(14)/(9)`

`(34)/(8) \approx (32)/(8)=4`

`(16)/(3)\approx (15)/(3)=5`

and
`(14)/(9)\approx (18)/(9)=2`

So,
`((34)/(8)- (16)/(3) )-(14)/(9)`

estimates to

`=(4-5)-2`

Simplifies to

= -1 - 2

= -3

Thus, The best estimate of the difference for the given numbers is -3.