Order of Operations
Exponents
Choose the Step
100
What is 4 x 2 + 4?
12
100
What is 4^2?
16
100
In the problem 4 - 2 + 1 x 3, which operation should be completed first?
multiplication (1 x 3)
200
What is 3 + (9 - 2 + 1) ?
11
200
Evaluate 10^2
100
200
In the problem 3 - 1 + 2, which operation should be completed first?
subtraction (3-1)
300
What is 13 + (9/3 + 2) - 2?
16
300
What is 3^4?
81
300
True or False: In the problem 3 - (5^2 + 3), 2 + 3 within the parentheses should be completed first.
False, 5^2 should be completed first within the parentheses because exponents come before addition.
400
Solve 14 - 2 + (3^2 - 2)
19
400
What is 12^4?
20,736
400
True or False: In the problem 89/2 + 3 x 4, 89/2 should be completed second.
False, it should be completed first.
500
Evaluate 34 - (4 + 3 - 1) - 3 + 7
32
500
Evaluate 3^4 + 4^2
97
500
Look at all 3 statements. If all 3 are true, the answer is true. If only 1 is false, the answer is false. "Parentheses are always done before exponents." "Exponents are always done before multiplication." "Multiplication is always done before division."
False. The first two statements are correct. However, multiplication and division are done in order from left to right.
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