Ms. Garcia Math
The number line is a line labeled with the integers in increasing order from left to right, that extends in both directions:
Compare and Order Integers
We can compare different integers by looking at their positions on the number line. For any two different places on the number line, the integer on the right is greater than the integer on the left.
Ex. Order 3, 5, -3, 1, -5
Absolute Value of an Integer
The number of units a number is from zero on the number line.
one of a pair of numbers whose sum is zero; the additive inverse of -5 is +5
Adding integers of the same sign
When adding integers of the same sign, we add their absolute values, and give the result the same sign.
Adding integers of the opposite signs
When adding integers of the opposite signs, we take their absolute values, subtract the smaller from the larger, and give the result the sign of the integer with the larger absolute value
'Subtracting an integer is the same as adding its opposite.
The sum of two positive integers is a positive integer.
The sum of two negative integers is a negative integer.
The sum of any integer and its opposite is equal to zero
One positive and one negative added together cancel each other out.