Subtract Integers With a Number Line

Subtract Integers Is this a “positive 5” or “plus 5”? +5 BOTH

Subtract Integers HINT: If you don’t see a negative or positive sign in front of a number it is always positive. 5 +

Subtract Integers Is this a “negative 7” or “minus 7”? -7 BOTH

–7 HINT: The sign in front of the number BELONGS TO THE NUMBER! Subtract Integers HINT: The sign in front of the number BELONGS TO THE NUMBER! –7

Subtract Integers 7 6 5 4 3 2 1 -1 -2 -3 -4 -5 -6 -7 -8 Combining Integers Same Signs Watch the direction of the elevator when we do integer problems with the SAME SIGN!

Subtract Integers Combining Integers Same Signs 7 6 5 4 3 2 1 -1 -2 -3 -1 -2 -3 -4 -5 -6 -7 -8 Combining Integers +4 Same Signs 1) + 3 + 4 = +7 +3

Subtract Integers Combining Integers Same Signs 7 6 5 4 3 2 1 -1 -2 -3 -1 -2 -3 -4 -5 -6 -7 -8 Combining Integers Same Signs 1) + 3 + 4 = +7 2) - 2 - 4 = -6 -2 -4

Subtract Integers Combining Integers Same Signs 7 6 5 4 3 2 1 -1 -2 -3 -1 -2 -3 -4 -5 -6 -7 -8 Combining Integers Same Signs +5 1) + 3 + 4 = +7 2) - 2 - 4 = -6 +1 3) 1 + 5 = +6

What do you notice about the direction of the integer elevator? Subtract Integers 7 6 5 4 3 2 1 -1 -2 -3 -4 -5 -6 -7 -8 Combining Integers Same Signs 1) + 3 + 4 = +7 2) - 2 - 4 = -6 3) 1 + 5 = +6 4) -5 - 3 = -8 -5 What do you notice about the direction of the integer elevator? -3

A positive and a positive travels up up. Subtract Integers 7 6 5 4 3 2 1 -1 -2 -3 -4 -5 -6 -7 -8 Combining Integers Same Signs 1) + 3 + 4 = +7 2) - 2 - 4 = -6 3) 1 + 5 = +6 4) -5 - 3 = -8 -5 A positive and a positive travels up up. A negative and negative travels down down. -3

Both signs are the same so you end up traveling the same direction. Subtract Integers 7 6 5 4 3 2 1 -1 -2 -3 -4 -5 -6 -7 -8 Combining Integers Same Signs 1) + 3 + 4 = +7 2) - 2 - 4 = -6 3) 1 + 5 = +6 4) -5 - 3 = -8 -5 Both signs are the same so you end up traveling the same direction. -3

When the signs are the same you take the SUM of the numbers Subtract Integers 7 6 5 4 3 2 1 -1 -2 -3 -4 -5 -6 -7 -8 Combining Integers Same Signs 1) + 3 + 4 = +7 2) - 2 - 4 = -6 3) 1 + 5 = +6 4) -5 - 3 = -8 -5 When the signs are the same you take the SUM of the numbers -3

SUM = ADD Subtract Integers Combining Integers Same Signs 7 6 5 4 3 2 1 -1 -2 -3 -4 -5 -6 -7 -8 Combining Integers SUM = ADD Same Signs 1) + 3 + 4 = +7 5) + 5 + 9 = +14 2) - 2 - 4 = -6 6) - 3 - 13 = -16 3) 1 + 5 = +6 7) 4 + 6 = +10 4) -5 - 3 = -8 8) -6 + -7 = -13 -5 When the signs are the same you take the SUM of the numbers. -3

Subtract Integers 7 6 5 4 3 2 1 -1 -2 -3 -4 -5 -6 -7 -8 Combining Integers Different Signs Watch the direction of the elevator when we do integer problems with the DIFFERENT SIGNS!

Subtract Integers Combining Integers Different Signs 7 6 5 4 3 2 1 -1 -1 -2 -3 -4 -5 -6 -7 -8 Combining Integers Different Signs 1) - 3 + 4 = +1 +4 -3

Subtract Integers Combining Integers Different Signs 7 6 5 4 3 2 1 -1 -1 -2 -3 -4 -5 -6 -7 -8 Combining Integers Different Signs 1) - 3 + 4 = +1 +2 -4 2) + 2 - 4 = -2

Subtract Integers Combining Integers Different Signs 7 6 5 4 3 2 1 -1 -1 -2 -3 -4 -5 -6 -7 -8 Combining Integers Different Signs 1) - 3 + 4 = +1 2) + 2 - 4 = -2 3) -5 + 1 = -4 -5 +1

What do you notice about the direction of the integer elevator? Subtract Integers 7 6 5 4 3 2 1 -1 -2 -3 -4 -5 -6 -7 -8 Combining Integers Different Signs What do you notice about the direction of the integer elevator? +5 1) - 3 + 4 = +1 2) + 2 - 4 = -2 -12 3) -5 + 1 = -4 4) +5 - 12 = -7

A positive and a negative travels up then down . Subtract Integers 7 6 5 4 3 2 1 -1 -2 -3 -4 -5 -6 -7 -8 Combining Integers Different Signs A positive and a negative travels up then down . +5 1) - 3 + 4 = +1 2) + 2 - 4 = -2 -12 3) -5 + 1 = -4 A negative and a positive travels down then up. 4) +5 - 12 = -7

Subtract Integers Combining Integers Different Signs 7 6 5 4 3 2 1 -1 -2 -3 -4 -5 -6 -7 -8 Combining Integers Different Signs +5 1) - 3 + 4 = +1 2) + 2 - 4 = -2 -12 3) -5 + 1 = -4 4) +5 - 12 = -7 NOTICE: The integer elevator is moving in different directions because both numbers are different!

When the signs are different you take the DIFFERENCE of the numbers. Subtract Integers 7 6 5 4 3 2 1 -1 -2 -3 -4 -5 -6 -7 -8 Combining Integers Different Signs +5 1) - 3 + 4 = +1 2) + 2 - 4 = -2 -12 3) -5 + 1 = -4 4) +5 - 12 = -7 When the signs are different you take the DIFFERENCE of the numbers.

When the signs are different you take the DIFFERENCE of the numbers. Subtract Integers 7 6 5 4 3 2 1 -1 -2 -3 -4 -5 -6 -7 -8 DIFFFERNCE = SUBTRACT Combining Integers Different Signs +5 5) - 8 + 3 = -5 1) - 3 + 4 = +1 6) +6 - 13 = -7 2) + 2 - 4 = -2 7) -9 + 15 = +6 -12 3) -5 + 1 = -4 8) +11 - 4 = +7 4) +5 - 12 = -7 When the signs are different you take the DIFFERENCE of the numbers.

Aren’t integers interesting? TAKE OUT YOUR STUDY GUIDE Subtract Integers Aren’t integers interesting? TAKE OUT YOUR STUDY GUIDE

USING A NUMBER LINE -2 + 2 - 4 = #11 Positive Number = Up START AT ZERO AND MOVE TO THE 1ST NUMBER! Integer Elevator 8 7 6 5 4 3 2 1 -1 -2 -3 -4 -5 -6 -7 -8 ADDING INTEGERS Positive Number = Up Negative Number = Down SUBTRACTING INTEGERS +2 Integer Entrance -4 Subtract a Negative = Up Subtract a Positive = Down + 2 - 4 = -2