Respuesta :

Hello.

The answer would be 

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



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Answer:

Option (a) is correct.

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

Step-by-step explanation:

Given : [tex](\frac{34}{8}- \frac{16}{3} )-\frac{14}{9}[/tex]

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

Consider the given [tex](\frac{34}{8}- \frac{16}{3} )-\frac{14}{9}[/tex]

[tex]\frac{34}{8} \approx \frac{32}{8}=4[/tex]

[tex]\frac{16}{3}\approx \frac{15}{3}=5[/tex]

and [tex]\frac{14}{9}\approx \frac{18}{9}=2[/tex]

So, [tex](\frac{34}{8}- \frac{16}{3} )-\frac{14}{9}[/tex]

estimates to

[tex]=(4-5)-2[/tex]

Simplifies to

= -1 - 2    

= -3

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

       

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