Adding Integers on a Number Line How to

Adding Integers on a Number Line

How to add integers on a number line • Place a circle on the number line to represent the first number in the problem • Since the operation is adding, the second number will tell you how far to move and which direction to move. – A positive second number means you should move to the right. – A negative second number means you should move to the left. • The number you end on is the answer.

Example 1 O Model 6 + 3 using a number line O Start at 6 on the number line. O Move three spaces to the right since 3 is positive. +3 Answer: 6+ 3 = 9

Example 2 • Model -6 + 3 • • Start at -6 on a number line Move three spaces to the right since 3 is positive. +3 Answer: -6+ 3 = -3

Example 3 • Model -6 + (-3) • Start at -6 on the number line • Move three spaces to the left since 3 is a negative number. + -3 Answer: -6+ (-3) = -9

Example 4 • Model -5 + 3 on a number line. +3 Answer: -5 + 3 = -2

Example 5 • Model 3 + (-9) on a number line + -9 Answer: 3 + -9 = -6

Example 6 • Model -2 + (-5) on a number line + -5 Answer: -2 + -5 = -7

Example 7 • Model 9 + (-12) on a number line + -12 Answer: 9 + -12 = -3

Example 8 • Model 5 + (-9) on a number line + -9 Answer: 5 + -9 = 4

Example 9 • Model -7 + 5 on a number line +5 Answer: -7 + 5 = -2

Example 10 • Model 4 + (-4) on a number line + -4 Answer: 4 + -4 = 0