Types of Numbers
These are the numbers including:
... - 3, -2, -1, 0, 1, 2, 3, ...
Integers
When subtracting a small number (such as 2) from a big number (such as 7), what kind of answer will you get?
A positive number
7 - 2 = 5
Simplify this expression and draw a number line:
5 - 7
5 - 7
-2
Simplify this expression:
7 * (-6)
7 * (-6)
-42
Rule: A negative and a positive multiply to get a ________
Simplify this expression and show each step:
4 - 3 * (-2)
4 - 3 * (-2)
4 - (-6)
10
These numbers CAN be written as fractions
Rational numbers
When subtracting a bigger number (such as 15) from a smaller number (such as 7), what kind of answer will you get?
A negative number
7 - 15 = -8
Simplify this expression and draw a number line:
7 - 10
7 - 10
-3
Simplify this expression:
-3 * (-5)
-3 * (-5)
15
Rule: Two negatives multiply to get a ______
Simplify this expression and show each step:
12 / 4 - 2 * 3
12 / 4 - 2 * 3
3 - 2 * 3
3 - 6
-3
These numbers CANNOT be written as a fraction
Irrational numbers
When adding two integers with the same sign, what do you do?
Keep the sign
Add the absolute values
Simplify this expression and draw a number line:
8 + (-15)
8 + (-15)
8 - 15
-7
What is 10 groups of negative 20?
10 * (-20)
-200
Rule: A positive and a negative multiply to get a ________
Simplify this expression and show each step:
3 + 2 / 2 * 3
3 + 2 / 2 * 3
3 + 1 * 3
3 + 3
6
These are the numbers including 0, 1, 2, ...
Whole numbers
DOUBLE JEOPARDY (double points)
When adding two numbers with DIFFERENT signs, what do you do?
DOUBLE JEOPARDY (double points)
Use the sign of the number with the bigger absolute value
Subtract the number with the smaller absolute value from the number with the bigger absolute value
Simplify this expression and draw a number line:
3 - (-8)
3 - (-8)
3 + 8
11
What number do you get when you divide -30 into 6 equal groups?
Write a number sentence (expression) AND draw a picture.
-30 / 6
-5
Rule: A negative and a positive divide to get a ________
Simplify this expression and show each step:
12 / 6 + (-2) - 8
12 / 6 + (-2) - 8
2 + (-2) - 8
0 - 8
-8
These are the numbers including 1, 2, 3, ...
Natural numbers
When you subtract two integers, what do you do?
Simplify this expression and draw a number line:
-7 - (-5)
-7 - (-5)
-7 + 5
-2
How many times does negative 5 go into negative 45?
-45 / (-5)
9
Rule: A negative and a negative divide to get a ________
DOUBLE JEOPARDY (double points)
Simplify this expression and show each step:
5 - 2 * 3 + 10 / 5
DOUBLE JEOPARDY (double points)
5 - 2 * 3 + 10 / 5
5 - 6 + 10 / 5
5 - 6 + 2
-1 + 2
1