Adding and Subtracting Integers

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Presentation transcript:

Adding and Subtracting Integers Review for Test #1

3 + (-15)

ANSWER Different signs subtract. Take the sign of the greater number, then you’ll be exact. -12

-7 + (-2)

ANSWER Same signs, keep and add. -9

-6 + 11

ANSWER Different signs subtract. Take the sign of the greater number, then you’ll be exact. 5

-4 - 6

ANSWER Use a number line. Go to the left when negative and to the left when subtracting. -10

- 5 – (-8)

ANSWER Use a number line. Go to the left when negative and to the right if there’s a negative and subtraction together. - (-8) means do the opposite of subtracting 8. -5 + 8 = 3

The low temperature in Anchorage, Alaska, is -15°F wile the low temperature in Lindale, Texas is 32°F. Write an expression to find the difference between the low temperatures in Lindale and Anchorage, then solve.

ANSWER 32 – (-15) 47

Kyle received a notice from his bank that his account was overdrawn by $14. He made a deposit that brought his balance to $50. How much money did Kyle deposit?

ANSWER -14 + x = 50 x = 64

A submarine travels 330 feet below sea level A submarine travels 330 feet below sea level. If the submarine ascends 125 feet, what integer expresses the submarine’s new position?

ANSWER -330 + 125 -205

When Bonita started driving at 4pm, the temperature was 12°F When Bonita started driving at 4pm, the temperature was 12°F. When she arrived home at 10pm, the temperature was -5°F. What was the difference in the temperatures at 4pm and 10pm?

ANSWER 12 – (-5) 17

During the first round of a game, Ravi had a score of -27 points During the first round of a game, Ravi had a score of -27 points. He earned 35 points in the second round. What was Ravi’s score after the second round?

ANSWER -27 + 35 8

By noon, the temperature increased 21 degrees from the morning low of -13°F. What was the temperature at noon?

ANSWER -13 + 21 8

A shark swims at a depth of 275 feet below sea level A shark swims at a depth of 275 feet below sea level. After sighting a whale, the shark moves 190 feet closer to the surface. What integer represents the shark’s new depth?

ANSWER -275 + 190 -85

Which best describes the classification for the following number set? {−4 1 2 -1 3 4 3.5 13 24 5 8 Counting Numbers Whole Numbers Integers Rational Numbers

ANSWER Rational Numbers- any number that can be written as a fraction is considered to be a rational number

Give the set of numbers below, which are classified as integers? 10 − 5 4 1.25 -2 -3.3 0

Answer 10, -2, and 0 The other numbers would be classified as rational numbers.

What value does point B represent on the number line What value does point B represent on the number line? What is the opposite of point B? What is the absolute value of point B?

Answer What value does point B represent on the number line? -7 What is the opposite of point B? 7 What is the absolute value of point B? 7 (Point B is 7 numbers away from zero.)

Mrs. Martin is thinking of 2 mystery numbers Mrs. Martin is thinking of 2 mystery numbers. She gives 2 clues as shown in the table. Clue 1: The numbers are opposites. Clue 2: The distance between the numbers on the number line is 20. What are the mystery numbers? -5 and 5 -10 and 10 -15 and 15 -20 and 20

ANSWER Mrs. Martin is thinking of 2 mystery numbers ANSWER Mrs. Martin is thinking of 2 mystery numbers. She gives 2 clues as shown in the table. Clue 1: The numbers are opposites. Clue 2: The distance between the numbers on the number line is 20. What are the mystery numbers? -5 and 5 -10 and 10 -15 and 15 -20 and 20

Which statement is NOT true about the number line? Points L and H represent opposite integers. The value of point G is equivalent to the absolute value of point M. The value of point F is the opposite of the value of point N. The absolute value of point I is the same as the absolute value of point J.

Answer Which statement is NOT true about the number line? Points L and H represent opposite integers. The value of point G is equivalent to the absolute value of point M. Point G has a value of -6 and the distance of point M from zero is 6. These are NOT equivalent values. The value of point F is the opposite of the value of point N. The absolute value of point I is the same as the absolute value of point J.

Arrange the following numbers in order from least to greatest. 3 -5 -2 0 -1

Answer -5, -2, -1, 0, 3

Write an equation that could be represented by the model shown.

ANSWER Write an equation that could be represented by the model shown. -4 + 3 = -1 -4 – (-3) = -1