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Explain the diffrence between evaluating 3 times 7-4 divided by 2 and evaluating 3 (7-4)divided by 2

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Answer:

without parenthesis () the order of operations says that multiplication comes first. in the first one, you would multiply 3 times 7 and then subtract 4, then divide by 2. but in the second one, there are parentheses around 7-4, so you would subtract 4 from 7 first and THEN multiply by 3 then divide by 2.

There is no difference between evaluating 3 times 7-4 divided by 2 and evaluating 3 (7-4) divided by 2.

Three times of (7 - 4) = 3( 7 - 4)

                                   = 3 (3) = 9

Divide by 2,  [tex]=\frac{9}{2}=4.5[/tex]

Now solve expression,

                                     [tex]\frac{3(7-4)}{2}=\frac{3*3}{2}=\frac{9}{2}=4.5[/tex]

Thus, There is no difference between evaluating 3 times 7-4 divided by 2 and evaluating 3 (7-4) divided by 2.

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