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# Adding Integers

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by

Tweet## Tim Franklin

on 7 September 2012#### Transcript of Adding Integers

1-5 ADDING INTEGERS How can we represent that with numbers?

Where does it end up? Let's say a car goes forward 20 ft,

then backs up 20 ft. When you add opposites, the sum is zero. So, opposites are also called

ADDITIVE INVERSES. DEFINITION: The sum of two positive integers is positive.

The sum of two negative integers is negative. DON'T LIKE

MODELING? The sum of an integer and its additive inverse is zero. THE INVERSE PROPERTY OF ADDITION Arithmetic 1 + (-1) = 0

-1 + 1 = 0 Algebra x + (-x) = 0

-x + x = 0 We can use tokens to model adding

positive and negative numbers. MODELING ADDITION 2 + (-5) = ? We can also use a number line

to model addition. MODELING ADDITION -8 + 3 = ? A football team loses 8 yards.

Then they gain 3. Start at zero. USE RULES Same Sign Rule Different Sign Rule To add integers with different signs, find the difference of their absolute values. The sum has the sign of the integer with the greater absolute value. -3 + 15 = ? 35 + (-10) = ? 5 + 8 = ? -4 + (-13) = ? -5 13 -17 12 25

Full transcriptWhere does it end up? Let's say a car goes forward 20 ft,

then backs up 20 ft. When you add opposites, the sum is zero. So, opposites are also called

ADDITIVE INVERSES. DEFINITION: The sum of two positive integers is positive.

The sum of two negative integers is negative. DON'T LIKE

MODELING? The sum of an integer and its additive inverse is zero. THE INVERSE PROPERTY OF ADDITION Arithmetic 1 + (-1) = 0

-1 + 1 = 0 Algebra x + (-x) = 0

-x + x = 0 We can use tokens to model adding

positive and negative numbers. MODELING ADDITION 2 + (-5) = ? We can also use a number line

to model addition. MODELING ADDITION -8 + 3 = ? A football team loses 8 yards.

Then they gain 3. Start at zero. USE RULES Same Sign Rule Different Sign Rule To add integers with different signs, find the difference of their absolute values. The sum has the sign of the integer with the greater absolute value. -3 + 15 = ? 35 + (-10) = ? 5 + 8 = ? -4 + (-13) = ? -5 13 -17 12 25