Properties of Real Numbers
3 is an example of what kind of number(s)
Real, Rational, Integer, Whole, Natural
Simplify this expression:
17 - 5 * 4 / 2
7
Solve:
n - 5
where n = 5
0
Simplify:
7(x + 4)
7x + 28
0 is what kind of number?
Real, Rational, Integer, Whole
Pi is an example of what kind of number(s)
Real, Irrational
Simplify this expression:
(8-5) * 4 + 3 - 5
10
Solve:
19 - (x^2)
Where
x = -5
-6
Simplify:
-4(y + 3)
-4y - 12
What are the symbols for each classification of number
Real = R Whole = W
Irrational = I Natural = N
Rational = Q
Integer = Z
This property states that the ORDER of multiplication and addition doesn't matter when simplifying an expression
The Commutative Property
Simplify this expression:
(4-7)^2 - 6 * 7 + 20
-13
Solve:
4|m - n|
Where
m = -7 ; n = 2
36
Simplify:
-4(-w - 10)
4w + 40
When solving inequalities, what type of circle represents > and <.
Which represents >= and <=
Solid for >= ; <=
If a = b and b = c, then a = c
The transitive property
Simplify this expression:
1 + (-2 - 5)^2 + (14-17) * 4
38
Solve:
4(p^2) + 7(q)^3
Where
p = -3; q = -2
-20
6a(b + 2c)
6ab + 12ac
When solving an inequality, we solve it like we are solving any equation with one small exception. What is the one thing we change when solving an inequality?
Flip the direction of inequality symbol when you multiply or divide by a negative number.
The reflexive property states...
Any value always equals itself ex. 1 = 1; a = a;
5x = 5x
Simplify this expression:
(13 + (7^2) / 7) / (9 - 20 / 4 - 16)
-1.666 or -5/3
Solve:
(a + b)^5 / (a - 2(b^2))
Where
a = 6; b = -8
32/122
Simplify:
1/6(3x/5 + 18)
x/10 + 3
Simplify:
-q^2 - r^2 + 3s
Where
q = 9; r = -6; s = -20
-177