Natural Numbers Whole Numbers Integers Rational ...
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Real Numbers
Name _________________________________ Date ___________________ Period _______
Natural Numbers Whole Numbers Integers -4
-3
-2
-1
0
1
2
3
4
Rational Numbers Irrational Numbers
Natural Numbers Counting Numbers
Whole Numbers Integers -4
-3
-2
-1
0
1
2
3
4
Rational Numbers Irrational Numbers
Natural Numbers Natural Numbers and Zero
Whole Numbers Integers -4
-3
-2
-1
0
1
2
3
4
Rational Numbers Irrational Numbers
Natural Numbers Natural Numbers, Zero and their Opposites
Whole Numbers Integers -4
-3
-2
-1
0
1
2
3
4
Rational Numbers Irrational Numbers
© iTutoring.com Real Numbers Pg. 2
Natural Numbers Whole Numbers
p Any number that can be expressed as a fraction q , where p and q are integers.
Integers Rational Numbers Irrational Numbers
-4 1
-3 -2 1 -7 1 3
-1 1
Repeating decimals .3 =
0 1
1 1 1 2
2 3 1 11 1 5
4 1
1 13 Terminating decimals .13 = 100 3
Natural Numbers Numbers that are NOT Rational Whole Numbers - 7
π
3
Integers -4 Rational Numbers Irrational Numbers
-3
-2
-1
0
1
2
3
4
Non-Repeating/Non-Terminating decimals .33450578352....
© iTutoring.com Real Numbers Pg. 3
Irrational Numbers
Rational Numbers
1 , - 3 , -3.16 2 5
Integers ..., -3, -2, -1, ... Whole Numbers 7 π
0
Natural Numbers 1, 2, 3, ...
but every whole number is not a natural number.
Irrational Numbers
Every natural number is a whole number...
Rational Numbers
Integers ..., -3, -2, -1, ... Whole Numbers 7 π
1 , - 3 , -3.16 2 5
0
Natural Numbers 1, 2, 3, ...
© iTutoring.com Real Numbers Pg. 4
but every integer is not a whole number.
Irrational Numbers
Every whole number is an integer...
Rational Numbers
1 , - 3 , -3.16 2 5
Integers ..., -3, -2, -1, ... Whole Numbers 7 π
0
Natural Numbers 1, 2, 3, ...
but every rational number is not an integer.
Irrational Numbers
Every integer is a rational number...
Rational Numbers
Integers ..., -3, -2, -1, ... Whole Numbers 7 π
1 , - 3 , -3.16 2 5
0
Natural Numbers 1, 2, 3, ...
© iTutoring.com Real Numbers Pg. 5
Irrational Numbers
A number cannot be both rational and irrational.
Rational Numbers
1 , - 3 , -3.16 2 5
Integers ..., -3, -2, -1, ... Whole Numbers 7 π
0
Natural Numbers 1, 2, 3, ...
-6 10 13 -1.34
Irrational Numbers
What group(s) do the following numbers fall into?
Rational Numbers
1 , - 3 , -3.16 2 5
Integers ..., -3, -2, -1, ... Whole Numbers 7 π
0
Natural Numbers 1, 2, 3, ...
0 © iTutoring.com Real Numbers Pg. 6
Real Numbers
Name _________________________________ Date ___________________ Period _______
Natural Numbers Whole Numbers Integers -4
-3
-2
-1
0
1
2
3
4
Rational Numbers Irrational Numbers
Natural Numbers Counting Numbers
Whole Numbers Integers -4
-3
-2
-1
0
1
2
3
4
Rational Numbers Irrational Numbers
Natural Numbers Natural Numbers and Zero
Whole Numbers Integers -4
-3
-2
-1
0
1
2
3
4
Rational Numbers Irrational Numbers
Natural Numbers Natural Numbers, Zero and their Opposites
Whole Numbers Integers -4
-3
-2
-1
0
1
2
3
4
Rational Numbers Irrational Numbers
© iTutoring.com Real Numbers Pg. 2
Natural Numbers Whole Numbers
p Any number that can be expressed as a fraction q , where p and q are integers.
Integers Rational Numbers Irrational Numbers
-4 1
-3 -2 1 -7 1 3
-1 1
Repeating decimals .3 =
0 1
1 1 1 2
2 3 1 11 1 5
4 1
1 13 Terminating decimals .13 = 100 3
Natural Numbers Numbers that are NOT Rational Whole Numbers - 7
π
3
Integers -4 Rational Numbers Irrational Numbers
-3
-2
-1
0
1
2
3
4
Non-Repeating/Non-Terminating decimals .33450578352....
© iTutoring.com Real Numbers Pg. 3
Irrational Numbers
Rational Numbers
1 , - 3 , -3.16 2 5
Integers ..., -3, -2, -1, ... Whole Numbers 7 π
0
Natural Numbers 1, 2, 3, ...
but every whole number is not a natural number.
Irrational Numbers
Every natural number is a whole number...
Rational Numbers
Integers ..., -3, -2, -1, ... Whole Numbers 7 π
1 , - 3 , -3.16 2 5
0
Natural Numbers 1, 2, 3, ...
© iTutoring.com Real Numbers Pg. 4
but every integer is not a whole number.
Irrational Numbers
Every whole number is an integer...
Rational Numbers
1 , - 3 , -3.16 2 5
Integers ..., -3, -2, -1, ... Whole Numbers 7 π
0
Natural Numbers 1, 2, 3, ...
but every rational number is not an integer.
Irrational Numbers
Every integer is a rational number...
Rational Numbers
Integers ..., -3, -2, -1, ... Whole Numbers 7 π
1 , - 3 , -3.16 2 5
0
Natural Numbers 1, 2, 3, ...
© iTutoring.com Real Numbers Pg. 5
Irrational Numbers
A number cannot be both rational and irrational.
Rational Numbers
1 , - 3 , -3.16 2 5
Integers ..., -3, -2, -1, ... Whole Numbers 7 π
0
Natural Numbers 1, 2, 3, ...
-6 10 13 -1.34
Irrational Numbers
What group(s) do the following numbers fall into?
Rational Numbers
1 , - 3 , -3.16 2 5
Integers ..., -3, -2, -1, ... Whole Numbers 7 π
0
Natural Numbers 1, 2, 3, ...
0 © iTutoring.com Real Numbers Pg. 6
