1.2 Properties of Real Numbers
Example Graph the numbers on a number line: 6, -√5, 2.7, -2, 7/3
Examples Insert < or > between the numbers.
1.) 5, √22
2.) -9.9, -9.8
3.) -12, -√120
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Classify the numbers on the board. Some numbers should be
placed in more than one category. You may get up and walk around.
You have 5 minutes. Go!
Irrational
Rational
Integers
Whole
Natural
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Examples Classify each variable according to the set of numbers
that best describes its values.
1.) The number of times n a ball bounces
2.) The height h from which an egg is dropped
3.) The perimeter P of a square found by P = 4s
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Examples Identify the property the statement illustrates.
1.) 10(5 + 3) = 10(5) + 10(3)
2.) 5 + (4 + 3) = (5 + 4) + 3
3.) 5 + (4 + 3) = 5 + (3 + 4)
4.) 5 + (-5) = 0
5.) 6 (4 3) = (6 4) 3
6.) (1/5) 5 = 1
7.) 1 7 = 7
8.) 10 3 = 3 10
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Name: ________________
1.2 Properties of Real Numbers
Homework
Write an example of each type of number. Be creative!
1.) Whole Number
2.) Integer
3.) Rational Number
4.) Irrational Number
Classify each variable according to the set of numbers that best describes its values.
6.) the median selling price p for a house that year
5.) The year y
7.) the circumference C of a circle found by using the formula C = 2πr
Identify the property illustrated by the equation.
9.) 2 (4 5) = (2 4) 5
8.) 5 + (-5) = 0
10.) π(a + b) = πa + πb
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11.) -10 + 4 = 4 + (-10)
12.) -√5 + 0 = -√5
13.) (4/7) (7/4) = 1
14.) 29 π = π 29
15.) c + (e + d) = (c + e) + d
15.) c + (e + d) = c + (d + e)
Write your own example of the following properties.
16.) Associate Property of Addition
17.) Commutative Property of Multiplication
18.) Distributive Property
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