SOLUTION: A math problem states, evaluate 24/(6 � 2). Monica keys in 24 divided by 6 times 2 and assumes the answer of 8 displayed on her calculator is correct. However, the correct answer i

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Question 1029295: A math problem states, evaluate 24/(6 � 2). Monica keys in 24 divided by 6 times 2 and assumes the answer of 8 displayed on her calculator is correct. However, the correct answer is 2. What mistake did she make? What should she have done differently? What process should she use to solve this type of equation?
Found 2 solutions by stanbon, josgarithmetic:
Answer by stanbon(75887) (Show Source):
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A math problem states, evaluate 24/(6 � 2). Monica keys in 24 divided by 6 times 2 and assumes the answer of 8 displayed on her calculator is correct. However, the correct answer is 2.
What mistake did she make?
She divided 24 by 6 to get 4; she then multiplied 4*2 to get 8
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What should she have done differently?
Evaluate the contents of the parentheses to get 24/(12)
Then divide to get 2
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What process should she use to solve this type of problem?
PEMDAS:
Parentheses
Exponents
Multiply and Divide as they occur from left to right.
Add and Subtract as they occur from left to rightl.
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Cheers,
Stan H.
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Answer by josgarithmetic(39618) (Show Source):
You can put this solution on YOUR website!
The grouping distinguishes what the numerator and denominator are. Monica ignored the grouping of 6 with 2, and then the order of operations went exactly as she key-entered: 24 divided by 6 was 4; and 4 became multiplied by 2 was 8. Monica must understand the parenthesized expression must be evaluated separately, or here, must be done FIRST.

24 is divided both by the 6 AND by the 2.

24 DIVIDED BY 6;
That result DIVIDED BY 2;
Final answer is 2.