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Read this word problem. $\newline$ Connor is playing a card game called At Face Value. At the end of each round, players earn positive points for their remaining number cards but negative points for their face cards. At the end of round $1$ , Connor earns $-5$ points. At the end of round $2$ , he earns $-6$ points. What is Connor's score now? $\newline$ To solve the problem, Michael added $-5 + (-6)$ and came up with an answer of $-11$ points. Is Michael correct? Why or why not? $\newline$ Choices: $\newline$ (A)Yes, Michael is correct. $\newline$ (B)No. The answer should have been $11$ points, not $-11$ points, because a total is always positive. $\newline$ (C)No. Michael should have subtracted $-5 - (-6)$ because the points Connor earned were negative.

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Add and subtract integers: word problems

Full solution

Q. Read this word problem.

\newline

Connor is playing a card game called At Face Value. At the end of each round, players earn positive points for their remaining number cards but negative points for their face cards. At the end of round

1

, Connor earns

-5

points. At the end of round

2

, he earns

-6

points. What is Connor's score now?

\newline

To solve the problem, Michael added

-5 + (-6)

and came up with an answer of

-11

points. Is Michael correct? Why or why not?

\newline

Choices:

\newline

(A)Yes, Michael is correct.

\newline

(B)No. The answer should have been

11

points, not

-11

points, because a total is always positive.

\newline

(C)No. Michael should have subtracted

-5 - (-6)

because the points Connor earned were negative.

Add Points Together: Add the points from round $1$ and round $2$ together. Connor earns $-5$ points in round $1$ and $-6$ points in round $2$ . $\newline$ $-5 + (-6) = -5 - 6$
Perform Addition: Perform the addition. Adding two negative numbers results in a larger negative number. $-5 - 6 = -11$

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