PEMDAS (simple)
PEMDAS (complex)
Exponents
Properties of Operations
Fix my Mistake
100
5 - 3 + 2 =
4
100

1² - 4² =

-15
100

32

9
100

It is the Property demonstrated by this equation: 

6 x 8 = 8 x 6

What is the Commutative Property?

100

9 - 3 x 2=12

Correct answer is 3. Do x then -, not - then x.

200
(10 - 2) x 5 =
40
200

 2² - (11 – 6) 

-1
200

23

8
200

It is the Property demonstrated by this equation: 

(2 x 3) x 4 = 2 x (3 x 4)

What is the Associative Property?

200

52 + 1=11

52 = 25, not 10. Correct Answer is 26.

300
8+3² =
17
300
(9 x 2 – 8) + (-10)
0
300

53

125
300

It is the Property demonstrated by these equations: 

4 + 0 = 4 5 x 1 = 5

What is the Identity Property?

300

32 - 6 = 0

32 = 9, not 6. Correct answer is 3

400
(4 - 2)(7 - 4) =
6
400

8² - (6 + 30 x 2 – 1) -  =

-1
400

104

10,000
400

It is the Property demonstrated by these equations: 5(3 + 5) = 5(8) = 40 

 

What is the Distributive Property?

400

4 + 5 + 7 - 3 x 2 = 26

You need to follow PEMDAS and do x first. Correct answer is 10.

500

10 + (3 x 2)2 - 4 =

42
500
12 - 6² ÷ (1 + 4 x 2) - 3 x 2² =
-4
500

32 + 53

134
500

It is the Property demonstrated by these equations: 

 5(3 + 5) = 5(3) + 5(5) = 15 + 25 = 40

What is the Distributive Property?

500

103 = 30

103 = 10 x 10 x 10, which is 1000, not 30.

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