About Adding Integers:

To add integers we think about two different scenarios. When the signs are the same, add the absolute values and keep the sign the same. When we have different signs, subtract the smaller absolute value from the larger and keep the sign of the number with the larger absolute value.


Test Objectives
  • Demonstrate the ability to add integers with a common sign
  • Demonstrate the ability to add integers with different signs
  • Demonstrate the ability to add integers using a number line
Adding Integers Practice Test:

#1:

Instructions: Add each using a number line.

a) -5 + (-7)

b) -6 + (-8)

c) -2 + 4


#2:

Instructions: Add each using a number line.

a) -7 + 14 + (-11) + 4

b) -5 + 2 + (-6) + 1 + (-3)


#3:

Instructions: Find each sum.

a) -15 + (-30)

b) -2 + (-8) + (-17)

c) -4 + (-7) + (-1)

d) -12 + (-22) + (-13) + (-40)


#4:

Instructions: Find each sum.

a) 6 + (-7)

b) -4 + 3

c) 12 + (-1)

d) 15 + (-9)

e) 34 + (-28)


#5:

Instructions: Find each sum.

a) -25 + 17 + (-27) + 60

b) -40 + 15 + (-22) + (-18) + 55

c) 4 + (-7) + 3 + (-8) + 2 + (-9) + 1 + (-10)


Written Solutions:

#1:

Solutions:

a) -5 + (-7) = -12

Adding -5 + -7 on a number line

b) -6 + (-8) = -14

Adding -6 + -8 on a number line

c) -2 + 4 = 2

Adding -2 + 4 on a number line

#2:

Solutions:

a) -7 + 14 + (-11) + 4 = 0

Adding -7 + 14 + -11 + 4 on a number line

b) -5 + 2 + (-6) + 1 + (-3) = -11

Adding -5 + 2 + -6 + 1 + -3=-11 on a number line

#3:

Solutions:

a) -15 + (-30) = -45

b) -2 + (-8) + (-17) = -27

c) -4 + (-7) + (-1) = -12

d) -12 + (-22) + (-13) + (-40) = -87


#4:

Solutions:

a) 6 + (-7) = -1

b) -4 + 3 = -1

c) 12 + (-1) = 11

d) 15 + (-9) = 6

e) 34 + (-28) = 6


#5:

Solutions:

a) -25 + 17 + (-27) + 60 = 25

b) -40 + 15 + (-22) + (-18) + 55 = -10

c) 4 + (-7) + 3 + (-8) + 2 + (-9) + 1 + (-10) = -24