Math Flashcards
Rules for addition of real numbers.
- Positive numbers: add the same way you do arithmetic, the answer is positive.
- Negative numbers: add the absolute values, the answer is negative.
- A positive and a negative numbers: if the numbers have the same absolute value, the answer is 0.
If the numbers have different absolute values, subtract the smaller value from the larger, then, a) if the positive number has a greater absolute value, the answer is positive. B) if the negative number has the greater absolute value. The answer is negative.
To find the absolute value of a number
- If the number is negative, it’s absolute value is its opposite.
- If the number is positive or zero , the absolute value is the same as the number.
One number is 0
The same is the other number
Identity property of zero
The sum is the other number
A+0=a
-1.4+8.5=7.1
The absolute values are 1.4 and 8.5. The difference is 7.1. The positive number has a larger absolute value, so the answer is positive.
-36+21= -15
The absolute values are 36 and 21. The difference is 15. The negative has a larger absolute value so the answer is negative, -15
1.5+(-1.5)=
The numbers have the same absolute value. The same is 0.
-7/8+0= -7/8
One number is 0. The sum is -7/8.
Subtraction
The difference a-b, is the number c for which a= b+c
Subtracting by adding the opposite
A-b= a+(-b)
To subtract, add the opposite, or additive inverse, of the number being subtracted.