Question

turn, she loses 3 points. the expression 3 + (-3) represents how many points she has after the two turns. you can use integer chips to find the sum of 3 and -3.
a. the sum of any number and its opposite is 0. another term for opposites is additive inverses. since the sum of 1 and -1 is 0, 1 and -1 form a zero pair. circle the zero pairs in the model.
b. how many points does neva have after her second turn?
c. what is 3 + (-3)?
2 neva starts the game over. the integer chips represent the number of points she has after her first turn. then she earns 5 points on her second turn.
a. how many points does neva have after her first turn?
b. draw chips to show the points neva earns on her second turn and any zero pairs.
c. how many points does neva have after her second turn?
d. what is (-5) + 5?
learning targets smp 2, smp 3, smp 7

• find the sum of a number and its opposite.
• use models to add positive and negative integers.
• tell what a sum of integers means in a real - world situation.

Explanation:

Part c (First set: \( 3 + (-3) \))

Step1: Recall additive inverse property

The sum of a number and its additive inverse (opposite) is 0. Here, 3 and -3 are additive inverses.

Step2: Apply the property

So, \( 3 + (-3) = 0 \).

Part d (Second set: \( (-5) + 5 \))

Step1: Recall additive inverse property

-5 and 5 are additive inverses (opposites).

Step2: Apply the property

Thus, \( (-5) + 5 = 0 \).

2a: Points after first turn (Second scenario)

Step1: Analyze integer chips

The red chips with negative signs (from the image) represent negative points. Count the number of negative chips. From the image, there are 5 negative chips (since we see multiple red - chips, and the context is -5 points as per part d). So the number of points after first turn is -5.

2c: Points after second turn (Second scenario)

Answer:

s:

• Part c: \( \boldsymbol{0} \)
• Part 2a: \( \boldsymbol{-5} \)
• Part 2c: \( \boldsymbol{0} \)
• Part 2d: \( \boldsymbol{0} \)