Absolute Value
Order of Operations
Evaluating Expressions
Properties
Real Numbers
100

|-6|

6

100

5+3×2

11

100

a+b   if a=5 and b=−2

3

100

7+3=3+7

Commutative Property

100

5

Natural, Whole, Integer, Rational, Real

200

|-7|+|3|

10

200

(10−4)×3

18

200

2a−3b   if a=−1 and b=4

−14

200

(2+5)+8=2+(5+8)

Associative Property

200

0

Whole, Integer, Rational, Real

300

|8|+|-12|

20

300

20÷(2×5)

2

300

a^2b−b^2 if a=3 and b=−4

−52

300

6(x+4)=6x+24

Distributive Property

300

-7

Integer, Rational, Real

400

2|−8|+3

19

400

4+6×(3+2)^2

154

400

2a^2+3ab−b^2 if a=−2 and b=5

-47

400

9+0=9

Identity Property

400

3/4

Rational, Real

500

|3−7|+|−10+4|

10

500

[(18÷3)+4]×2^3−10

70

500

a^3−2ab^2+b^3 if a=2 and b=−3

-55

500

If a=b and b=c, then a=c.

Transitive Property

500

sqrt2

Irrational, Real