Question

kiara plays the card game with skyler. the integer chips below represent the number of points she has as after the first round. then she earns 7 points in the second round.
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?
the number line shows adding 2 and - 2. use the number line to explain why 2+( - 2)=0.

Explanation:

Step1: Interpret chip - point relationship

Each red chip represents a negative point. There are 7 red chips, so the number of points after the first round is - 7.

Step2: Answer part a

Since she starts with 0 points and has - 7 points after the first round, the number of points she has after the first round is - 7.

Step3: Answer part b

If she earns points in the second round and we want to show zero - pairs, we need to add 7 positive points (because - 7+7 = 0). So we would draw 7 positive chips (for example, green chips if positive is represented by a different color).

Step4: Answer part c

If she had - 7 points after the first round and then adds 7 points in the second round, we calculate - 7 + 7. Using the rule that a number plus its additive inverse is 0, - 7+7 = 0. So she has 0 points after the second round.

Step5: Answer part d

On the number line, starting at - 2 and adding 2 means moving 2 units to the right. Mathematically, - 2+2 = 0. Also, 2+( - 2)=0 because addition is commutative. When we add a number and its additive inverse, we always get 0.

Answer:

a. - 7
b. Draw 7 positive - colored chips.
c. 0
d. Starting at - 2 on the number line and moving 2 units to the right gives 0. Also, 2+( - 2)=0 due to the property of additive inverses.