Question

complete problems 3–5.
3 skyler plays a card game. in the first round, skyler earns 4 points. in the second round, he loses 4 points. the expression 4 + (-4) represents how many points he has after the two rounds.
image of 4 yellow + chips and 4 red - chips
a. circle the zero pairs in the model.
b. how many points does skyler have after the second round?
c. what is 4 + (-4)?
4 kiara plays the card game with skyler. the integer chips below represent the number of points she has after the first round. then she earns 7 points in the second round.
image of 7 red - chips
a. how many points does kiara have after the first round?
b. draw chips to show the points kiara earns in the second round. then circle the zero pairs.
c. how many points does kiara have after the second round?
d. what is -7 + 7?
partial text the number line shows adding 2 and -2. use the number line to explain why 2 + (-2) = 0.
image of number line from -3 to 2 with arrows for +2 and -2

Explanation:

Problem 3

Part a

Step1: Identify zero pairs

A zero pair consists of one positive (+) and one negative (-) chip. So, we circle each + chip with its corresponding - chip. There are 4 + chips and 4 - chips, so we circle 4 pairs (each + with a -).

Step2: Visual check

Looking at the model, the 4 yellow + chips and 4 red - chips form 4 zero pairs. We circle each + and its matching -.

Step1: Analyze points

In the first round, Skyler has 4 points. In the second, he loses 4 (which is -4). A zero pair (4 and -4) cancels out.

Step2: Calculate total

4 + (-4) means adding a gain of 4 and a loss of 4. The losses cancel the gains.

Step1: Recall integer addition

Adding a number and its opposite (like 4 and -4) results in zero. This is the additive inverse property.

Step2: Compute 4 + (-4)

Using the property, 4 + (-4) = 0.

Answer:

Circle each yellow + chip with a red - chip (4 pairs total).

Part b