Addition and Subtraction with Integers and Rational Numbers

What is the sum of any number and its opposite?

Mathematical Equivalence

ON

Which of the following diagrams correctly represents 4+(−3)+(−2)?

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What sum is represented by the arrow diagram?

Mathematical Equivalence

ON

Match the followingDetermine whether each sum results in a positive or negative value.

• -16

• 3 3/4+(−6 1/2)

• -2 3/4

• 56+(−72)

• -68

• −38+81

• 43

• −24.78+(−39.67)

• -64.45

• −45+(−23)

Which of the questions below can be answered using the sum −12+10?  Select all that apply.

• At 6:00 a.m., the temperature was -12 degrees Fahrenheit. Two hours later, the temperature was 10 degrees warmer. What was the temperature at 8:00 a.m.?

• While playing the Integer Game, Richard's hand had a value of -12, and Jason's hand had a value of 10. How many more points did Jason have than Richard?

• Harper owed her mother $10. In order to go to the movies, she had to borrow $12 from her mother. How much does Harper owe her mother now?

• A quarterback lost 12 yards on first down but then gained 10 yards on second down. What is the quarterback's total number of yards?

You are playing the Integer Game.  Here are the cards in your hand. a.  What is the current value of your hand? ​​ ​ (a)   b.  In order to win the Integer Game, your hand needs to have a total value that is closest to 0.  Which card should you remove from your hand to get as close to 0 as possible? ​ (b)   c. What is the new value of your hand? ​ (c)  

• -5
• -3
• -2
• -8
• 4

What card(s) could you remove from your hand in order to increase your score?  Select all that apply.

• 4

• -8

• -3

• 2

What is the distance between 8 and −4 on the number line?

Mathematical Equivalence

ON

Rewrite each mixed number as a sum of two signed numbers.

3 1/5

Mathematical Equivalence

ON

Rewrite each mixed number as a sum of two signed numbers.

-7 3/8

Mathematical Equivalence

ON