Question

using the number line

1. david and victoria are playing the integer game. david drew three chards, -6, 12, and -4. what is the sum of the cards in his hand? model your answer on the number line.

1. in the inter game, you drew three cards, 2, 8, and -11. your partner gave you a 7 from his hand.

a. what is your total? model on the number line.

b. what card(s) would you need to get your score back to zero? explain. use and explain the term additive inverse in your answer?

1. if a football player gains 40 yards on a play, but on the next play, he loses 10 yards, what would his total yards be for the game if he ran for another 60 yards? create your own number line.

Explanation:

Calculate the sum for Question 1

$$ -6 + 12 + (-4) = 6 + (-4) = 2 $$

Calculate the total for Question 2A

$$ 2 + 8 + (-11) + 7 = 10 + (-11) + 7 = -1 + 7 = 6 $$

Determine the additive inverse for Question 2B

$$ 6 + x = 0 \implies x = -6 $$

Calculate the total yards for Question 3

$$ 40 + (-10) + 60 = 30 + 60 = 90 $$

Answer:

Question 1

The sum of the cards is <blank>2</blank>.

Question 2

A. Your total is <blank>6</blank>.
B. You would need a <blank>-6</blank> card because the additive inverse of 6 is -6, and adding a number to its additive inverse results in a sum of zero.

Question 3

His total yards would be <blank>90</blank> yards.