Unit 1.2 Properties of Real Numbers Class Task
Name:__________________________________________
You are going to show the class that you understand the following concepts:
1. How to graph and order real numbers
2. How to identify properties of real numbers
3. You need to come up with your own questions/examples to show the class
Numbers
There are diffrerent types of numbers. The most common one we use is “Real numbers”.
Unit 1.2 Properties of Real Numbers Class Task
Rational numbers VS Irrational numbers
What is the difference between a whole number
and a natural number?
True or False (Circle the answer – If you
choose False, explain why you think it is False)
_____________________________________
A whole number is always a natural number.
T/F
_____________________________________
____________________________________
What is the difference between integers and
whole numbers?
_____________________________________
_____________________________________
A natural number is always a whole number.
T/F
____________________________________
An integer is always a whole number.
T/F
____________________________________
What is the difference between rational and
irrational numbers?
_____________________________________
_____________________________________
A whole number is always an integer.
T/F
____________________________________
Unit 1.2 Properties of Real Numbers Class Task
Graph numbers on the number line
You can graph numbers on a number line:
Now, come up with your own example of graphing numbers on the number line (make sure you include all
different type of numbers you just learned – go back to the second box)
aph numbers on the number line
Inequality sysmbols
Now come up with your examples of using inequality symbols. (one example of greater than and
one example of less than)
Unit 1.2 Properties of Real Numbers Class Task
Ordering Numbers
What you just did in the above box is ordering numbers.
The properties of Real Numbers
Additive identity, multiplicative identity, additive inverse and reciprocal (multiplicative inverse)
Unit 1.2 Properties of Real Numbers Class Task
Additive identity is ___________ . It is known as identity because
_______________________________________________________________________________
Multiplicative identity is________. It is known as identity because
______________________________________________________________________________
Now, come up with an example of additive inverse and multiplicative inverse
Additive inverse example: __________________________________________________
Multiplicative inverse example: _______________________________________________
The properties of Real Numbers
Addition
Multiplication
Associative Property
Associative Property
(5 + 2) + 3 = 2 + (5 + 3 )
(5 x 2) x 3 = 2 x (5 x 3 )
Commutative Property
Commutative Property
2 + 3 = 3 + 2
2 x 3 = 3 x 2
Distributive Property
2 (3 + 5) = 2 ( 3 ) + 2 ( 5 )
Give an example of each property
Give an example of each property
Unit 1.2 Properties of Real Numbers Class Task
Summary of Properties of Real Numbers
Unit 1.2 Properties of Real Numbers Class Task
Unit End Self Reflection
1. Write the class objective of this class (Unit 1.2)
2. What have you learned in this class?
3. What questions do you have or things that you do not understand?
4. What do you want to know more based on the concepts you mastered in this class?
Unit 1.2 Properties of Real Numbers Class Task
Use a graph to represent a pattern
Challenge