Adding and Subtracting Integers Review

Important Concepts

100

Absolute Value

The distance of a number from zero

200

Integer

Positive and negative whole numbers and 0

300

What are additive inverses

Numbers that are opposite and have a sum of zero

400

What does this mean? |-6| = 6

The absolute value of -6 is 6, or -6 is 6 units from zero.

500

When signs are different, we find the _______________..

What is the difference?

Adding Integers

100

-5 + 9

4

200

-12 + 5

-7

300

-16 + (-17)

-33

400

How do you find the sum of numbers with different signs

Subtract and take the sign of the # with the greater absolute value

500

-16+18+-17

-15

Subtracting Integers

100

-4 - 6

-4 + (-6) = -10

200

4 - 11

4 + (-11) = -7

300

15 - (-7)

15 + 7 = 22

400

-27 - (-3)

-27 + 3 = -24

500

-10 - 11 - (-3)

-10 + (-11) + (3)= -18

Word Problems

100

Jason dives 10 feet under water and swims back up 3 feet. Where is his current location in the water?

-10 + 3= -7

200

Chris gets paid $100, and then must pay his cable bill which is $245. How much money does he have?

100 - 245 = $-145

300

The temperature is now 76 degrees, it rose 12 degrees overnight. What temperature was it last night?

76-12 = 64 degrees

400

In a game, Jareek earned 15 points in the first round, in the 2nd round he lost 20 points for not showing sportmanship. In the final round he scored double what he did in the first round. What is his final score?

15 + (-20) + 30 = 25 points

500

Nikkia starts with $1000 in her bank account, she withdraws $750 to pay her rent. She lets a friend borrow $70, buys new clothes for $120. She finds $100 cash on the street, and deposits 1/4 of it. How much money is in her bank account?

$85

Mixed Review

100

The temperature outside dropped 13°F in 7 hours. The final temperature was -2°F. What was the starting temperature?

What is11ºF?

200

Matt is playing a game. He gains 7 points, loses 10 points, gains 2 points, and then loses 8 points. What is his final score?

What is -9 points?

300

Mike deposited $200 into his bank account. He then wrote checks for $20 and $30. Then he deposited $40 dollars more. What is the change in the value of Mike’s account?

What is $190?

400

Rita earned 45 points on a test. She lost 8 points, earned 53 points, then lost 6 more points. What is Rita’s final score on the test?

What is an 84?

500

Owen is fishing from a dock. He starts with the bait 2 feet below the surface of the water. He reels out the bait 19 feet, then reels it back in 7 feet. What is the final position of the bait relative to the surface of the water?

What is -14??