GCF
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Order of Operations
Rules
Properties
100

4x+16

4(x+4)

100

4(x+7)

4x+7

100

(8 - 3) × 2 + 10

Answer: 20

100

postive + positive

Positive (+)

100

5+7=7+5

Commutative

200

15n+45

15(n+3)

200

-3(y-6)

-3y+6

200

2³ + 12 ÷ 4 - 5

Answer: 6

200

Positive + Negative

Negative (-)

200

3+0=3 or 3x1=3

Additive identity or multiplicative identity
300

66a+44

22(3a+2)

300

5(2a + 3b - 4)

10a+15b-20

300

15 - 3² + (6 + 2) × 2

Answer: 22

300

Negative x Negative

Positive

300

-3+3=0 or 3 x 1/3= 1

Additive inverse or multiplicative inverse

400

3x+6y+9

3(x+2y+3)

400

-6(m - 2n + 5)

-6m+12n-30

400

4 × [20 - (3² + 7)] + 5² ÷ 5

Answer: 21

400

Negative x Positive

Negative

400

5 + (6+2)= (5+6) + 2

Associative of addition

500

10m-20n+30

10(m-2n+3)

500

-4(-2p + 5q - 6)

8p-20q+24

500

6² ÷ [2 × (8 - 5)] + 3 × (4² - 13) - 10

Answer: 5

500

Positive x Positive 

Positive

500

5(x+4)= 5x+20

Distributive