* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project

# Download Adding Real Numbers We can add numbers using a number line

Survey

Document related concepts

Positional notation wikipedia , lookup

Infinitesimal wikipedia , lookup

Georg Cantor's first set theory article wikipedia , lookup

Proofs of Fermat's little theorem wikipedia , lookup

Bernoulli number wikipedia , lookup

Surreal number wikipedia , lookup

Law of large numbers wikipedia , lookup

Large numbers wikipedia , lookup

Mathematics of radio engineering wikipedia , lookup

Real number wikipedia , lookup

Elementary arithmetic wikipedia , lookup

Series (mathematics) wikipedia , lookup

Location arithmetic wikipedia , lookup

P-adic number wikipedia , lookup

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