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Download Adding Real Numbers We can add numbers using a number line
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Transcript
Adding Real Numbers We can add numbers using a number line. Example: -3+6 Start by putting a point on -3, and since 6 is positive we will move 6 places to the right to get the answer. So -3+6=3 Example: -4+(-5) Start by putting a point on -4, and since -5 is negative we will move 5 places to the left to get the answer. So -4+(-5)=-9 Rules of addition: To add 2 numbers with the same sign, add their absolute values. The sum has the same sign as the numbers added. o 8+7=15 o -6+(-10)=-16 To add 2 numbers with different signs, subtract the lesser absolute value from the greater absolute value. The sum has the same sign as the number with the greater absolute value. o -12+7=-5 o 18+(-4)=14 Properties of addition Commutative Property o The order in which you add 2 numbers does not change the sum. o a+b=b+a Associative Property o The way you group 3 numbers in a sum does not change the sum. o (a+b)+c=a+(b+c) Identity Property o The sum of a number and 0 is the number. o a+0=0+a=a Inverse Property o The sum of a number and its opposite is 0. o a+(-a)=-a+a=0