Adding, Subtracting, Multiplying, and Dividing Integers

​Adding Integers

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Adding the Same Sign

Add the absolute values and keep the sign

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4 + 5 =

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-2 + (-6) = ​

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Adding the Same Sign

Add the absolute values and keep the sign

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4 + 5 = 9

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-2 + (-6) = ​ -8

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Multiple Choice

Evaluate the expression.

2 + 5 =

• 7

• 3

• -3

• -7

Different Signs - Addition

Find the difference of the absolute values

Keep the sign of the number with the largest absolute value

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-9 + 4

Find the difference : 9 - 4 = 5

Find the number with the largest absolute value - ∣​ -9 ∣ > ∣​ 4 ∣, so we keep the -

​-9 + 4 = -5

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Different Signs - Addition

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-4 + 6​

Find the difference : 6 - 4 = 2

Find the number with the largest absolute value - ∣​ 6 ∣ > ∣​ -4 ∣ , so we keep the +

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​-4 + 6 = 2

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Subtraction

Use Keep-Change-Change, and evaluate the expression with addition rules​

-5 - 4 →​ -5 + (-4) =

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​3 - (-6) → 3 + 6 =

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-5 - (-4) →​ -5 + 4 =

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Subtraction

Use Keep-Change-Change, and evaluate the expression with addition rules​

-5 - 4 →​ -5 + (-4) = -9

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​3 - (-6) → 3 + 6 = 9

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-5 - (-4) →​ -5 + 4 = -1

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​Multiplying and Dividing

Remember:

Same Signs - Answers will be positive

Different Signs - Answers will be negative​​

5 x 2 = 10

15 ÷ -3 = 5

-5 x 4 = -20​

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Step 1 - Identify the integers

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Look at the word problem and identify the integers that will be used

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Identify if the integers will be positive or negative​

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​Identify the Integers

​Mr. Hetrick invested in a new crypto currency called SkamKoins. SkamKoins were worth 58 dollars on Monday. They lost 5 dollars of value on Tuesday. What is their new value?

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​Identify the Integers

​Mr. Hetrick invested in a new crypto currency called SkamKoins. SkamKoins were worth 58 dollars on Monday. They lost 5 dollars of value on Tuesday. What is their new value?

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58 (-5)​

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​Identify the operation

​Look through the question and identify what operation needs to be used.

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Look for key words

Addition - What is the current location/total/number

Subtraction - What is the difference? How many units are in between?

Multiplication - One integer per another integer - What is the overall total?

Division - What is the average? How many each?​

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​Identify the Operation

​Mr. Hetrick invested in a new crypto currency called SkamKoins. SkamKoins were worth 58 dollars on Monday. They lost 5 dollars of value on Tuesday. What is their new value?

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58 (-5)​

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​Identify the Operation

​Mr. Hetrick invested in a new crypto currency called SkamKoins. SkamKoins were worth 58 dollars on Monday. They lost 5 dollars of value on Tuesday. What is their new value?

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58 +( -5)​

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​Evaluate the Expression

​Mr. Hetrick invested in a new crypto currency called SkamKoins. SkamKoins were worth 58 dollars on Monday. They lost 5 dollars of value on Tuesday. What is their new value?

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58 +( -5)​ = 53

The new value of Skamkoins is 53 dollars​

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Example 2

Mr. Hetrick bought 5 Skamkoins. He spent a total of 35 dollars. How much were the Skamkoins each?​

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Example 2

Mr. Hetrick bought 5 Skamkoins. He spent a total of 35 dollars. How much were the Skamkoins each?​

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(5) (35)​

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Example 2

Mr. Hetrick bought 5 Skamkoins. He spent a total of 35 dollars. How much were the Skamkoins each?​

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(5) (35)​

35 ÷​ 5

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Example 2

Mr. Hetrick bought 5 Skamkoins. He spent a total of 35 dollars. How much were the Skamkoins each?​

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(5) (35)​

35 ÷​ 5 = 7

The Skamkoins were 7 dollars each​

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Example 3

Mr. Hetricks bank account had 26 dollars in it before he invested in Skamkoins. After the first week, his account was overdrawn by 4 dollars. What was the difference in money before and after the first week?​

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Example 3

Mr. Hetricks bank account had 26 dollars in it before he invested in Skamkoins. After the first week, his account was overdrawn by 4 dollars. What was the difference in money before and after the first week?​

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(26) (-4)​

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Example 3

Mr. Hetricks bank account had 26 dollars in it before he invested in Skamkoins. After the first week, his account was overdrawn by 4 dollars. What was the difference in money before and after the first week?​

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(26) (-4)​

26 - (-4) =​

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Example 3

Mr. Hetricks bank account had 26 dollars in it before he invested in Skamkoins. After the first week, his account was overdrawn by 4 dollars. What was the difference in money before and after the first week?​

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(26) (-4)​

26 - (-4) =​ 30

The difference was 30 dollars​

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Example 4

​Mr. Hetrick was losing 6 dollars every day while investing in Skamkoins.

Mr. Hetrick was involved with Skamkoins for 4 days. What was the overall total of Mr. Hetricks investment?​

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Example 4

​Mr. Hetrick was losing 6 dollars every day while investing in Skamkoins.

Mr. Hetrick was involved with Skamkoins for 4 days. What was the overall total of Mr. Hetricks investment?​

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(-6) (4​)

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Example 4

​Mr. Hetrick was losing 6 dollars every day while investing in Skamkoins.

Mr. Hetrick was involved with Skamkoins for 4 days. What was the overall total of Mr. Hetricks investment?​

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(-6) x 4​ =

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Example 4

​Mr. Hetrick was losing 6 dollars every day while investing in Skamkoins.

Mr. Hetrick was involved with Skamkoins for 4 days. What was the overall total of Mr. Hetricks investment?​

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(-6) x 4​ = -24

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The total investment was a loss of 24 dollars​

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