The Properties of Real Numbers

Rational and Irrational Numbers

Write each as the ratio of two integers:
Identify each of the following as rational or irrational:
3.605551275...

Commutative and Associative Properties

Simplify:
6(9x)
18p + 6q + (-15p) + 5q

Distributive Property

Simplify:
3(× + 4)
6(5y + 1)
2(x - 3)
(3/4)(n + 12)
100(0.3 + 0.25q)
m(n - 4)
(x + 8) p
-2(4y + 1)
-11(4 - 3a)
-(y + 5)
8 - 2(x + 3)
4(x -8) - (x + 3)
When y = 10, evaluate:
6(5y + 1)
6 • 5y + 6 • 1
When y = 3, evaluate:
-2(4y + 1)
-2 • 4y + (-2) • 1
When y = 35, evaluate:
-(y + 5)
-y - 5

Properties of Identity, Inverses, and Zero

Simplify:
-8 • 0
(5/12) • 0
0(2.94)
0 ÷ 5
0/(-2)
(4/9) ÷ 0
3x + 15 - 3x
4(0.25q)

Systems of Measurement

Convert:
350 liters to kiloliters
4.1 liters to milliliters
More Pre-Algebra Topics
Whole Numbers and Integers