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Adding Integers

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Adding Integers

Section 1.4

- Add positive and negative integers on a number line. (Gr. 6 NS 1.2)
- Add integers. (NS 1.2)
- Simplify expression by applying properties of rational numbers and justify the process used. (AF 1.3)

- You can use a number line to add integers.
- There are two kinds – vertical numbers line and horizontal number lines.
- Let’s take a closer look….

Negative = Left (red)

Positive = Right (blue)

- -5 + 2 =

+2

-5

Origin (Start)

- What happens when you add these integers?
- 3 + 4 = 4. -5 + -2=
2. -1 + -7=5. 7 + 2=

3. 6 + 8 = 6. -8 + -4=

Rule #1

Same signSum of numbers

- What happens when you add these integers?
- 5 + (-2) = 4. -5 + 2=
- 2. -11 + 7=5. 11 + (-4)=
- 3. -2 + 9 = 6. 8 + (-4)=

Rule #2

differentsignsdifferenceof numbers(The larger number carries the sign.)

- What happens when you add these integers?
- 3 + 0 = 4. 0 + (-2)=
- 2. -1 + 0=5. 0 + 2=
- 3. 6 + 0 = 6. 0 + (-4)=

Rule #3

Zero added to any number equals the original number.

- What happens when you add these integers?
- 3 + (-3)= 4. 2 + (-2)=
- 2. -1 + 1=5. 11 + (-11)=
- 3. 6 + (-6) = 6. 4 + (-4)=

Adding opposites together will equal zero.

Rule #4

Meka opened a new bank account. Find her account balance after the first four transactions listed below.

Application

Deposits: $200, $20

Withdrawals: $166, $38

200 + 20 + (–166) + (–38)

Meka’s account balance after the first four transactions is ________.

Michael opened a new bank account. Find his account balance after the first four transactions listed below.

Application

Deposits: $175, $95

Withdrawals: $133, $65

175 + 95 + (–133) + (–65)

Michael’s account balance after the first four transactions is ____________.

Add.

1. –7 + (–7) 2. 15 + (–9) + (–2)

–14

4

Evaluate each expression for the given value of the variable.

3. 13 + r for r = –154. 2 + b + (–9) for b = –6

–2

–13

5. On Monday, a local dog shelter had six dogs. By Friday, they had found homes for three, but took in two more. Then how many dogs were in the shelter?

5 dogs