Algebra: Using Integers
Integers - any number from the set {…,-4,-3,-2,1,0,+1,+2,+3,+4,…}
You can use integers to keep score in sports. You can use integers to keep track of Temperature Change.
You use integers to measure sea level.
You can use integers to keep track of the Stock Market. You can use integers to record Weight Gain or Loss. You can use integers to record money withdrawals or deposits to your banking accounts.
The answer to an add problem is the
The answer to a subtract problem is the
The answer to a multiplying problem is the
The answer to a divide problem is the
Integers greater than 0 are positive integers.
Integers less than 0 are negative integers. Negative not MINUS Zero is neither positive or negative.
Positive integers are usually written without the + sign, so +5 and 5 are the Same.
-5
0
5
On the number line—the numbers have a greater value as you go to the right.
- 1 is the largest negative integer.
All Positive numbers are larger than Any negative number. The additive inverse of –7 is 7. The additive inverse of 9 is –9.
After the 1990 census, Texas gained 3 seats in the United States House of Representatives. Michigan lost 2 seats. You can use the integers +3 and -2 to describe these situations, respectively.
Two numbers are opposites of one another if they are represented by points that are the same distance from 0, but on opposite sides of 0.
All opposites add to zero.
-3 + 3 = 0
(21) + (-21) = 0
The Absolute Value is helpful when adding integers.
The Absolute Value of an integer is its distance from 0 on a number line.
The Absolute Value of -4 = 4
Ordering Integer Problems
1. - 1 2. -3 3. 0 4.
< 10 > -4 < 8
-4
>0
1. Put in order from least to greatest.
4, -3, 0, -8 -8, -3, 0, 4
Integers
Put in order from greatest to least.
-3, 0, 5, -25, 36, -1, 7 36, 7, 5, 0, -1, -3, -25