Integers
The opposite of 5
-5
Compare -1 and -4.
-1 > -4
-3 + (-5)
-8
5 - 10
-5
Whole numbers
positive integers
An integer and the absolute value of that integer are always opposites.
False because...
6 and the absolute value of 6 are not opposites
absolute value of (-42)
42
(-6) and (-l7)
(-6) > (-l7)
1 + (-11)
-10
-9 - 0
-9
whole numbers, both positive and negative, and zero
integers
Adding a negative is the same as subtracting a positive
True because...
4 + (-3) = 1
4 - 3 = 1
The integers that come just before and just after -7.
-8 and -6
Order from least to greatest:
0, -2, 4
-2, 0, 4
13 + (-6)
7
-6 - (-8)
2
Define absolute value and give me an example of when two numbers can have the same absolute value.
Absolute value is the distance from 0 to that number.
The absolute value of -9 and the absolute value of 9 are both equal to 9.
Subtracting a negative is the same as adding a positive
True because...
10 - (-4) = 14
10 + 4 = 14
The opposites of whole numbers
Negative integers
Order from greatest to least:
-7, 0, -3, 2
2, 0, -3, -7
Subtracting the digits and keeping the sign of the number that is furthest from zero how to do what operation?
Adding Opposite Integers
4 - (-6)
10
Adding the opposite is a strategy of...?
Subtracting integers
-7 - 10 is like -7 + (-10)
7 + -11 equals a negative number
True because...
-11 has a greater absolute value than 7 so the answer will be negative.
This is neither positive nor negative.
zero
Order from greatest to least
-1, 4, -2, 0, 3, -5
4, 3, 1, 0, -2, -5
The floor of the shallow end to swimming pool is 3 ft below the surface. The deep end's floor is 9 feet deeper. Depth of deep end is....
(-3) + (-9) = -12 feet
Two different values can make this equation true:
(x) - (y) = -1
x is positive and one less than the positive y
Any number that can be written as a fraction is called a ______.
Rational number
The shortcut to (-6) - (-16) is keep, change, opposite
True because...
(-6) - (-16) = 10
(-6) + (16) = 10