Integers and Real World Examples
In a real-world context, if the temperature was 5°F below zero and then it dropped another 3°F, what integer represents the final temperature?
-8°F
What is the absolute value of −8?
8
What are the coordinates of a point that is 3 units to the right of the origin and 2 units down from the origin?
A) (−3,2)
B) (3,−2)
C) (2,−3)
D) (−3,−2)
B.) (3, -2)
What is the additive inverse of 7?
-7
What is the multiplicative inverse of 3/4?
4/3
The temperature in Minneapolis was−12°F in the morning. By afternoon, the temperature had risen by 18°F.
What was the afternoon temperature? ____°F
6 degrees
Complete this statement: The opposite of −5 is _______, and the absolute value of −5 is _______.
5, and 5
A point is graphed at the coordinates (-5, and -7). What is the y-coordinate?
-7
Complete this equation: (−9)+____=0
What number goes in the blank?
9
The multiplicative inverse of 7 is _______.
1/7
A submarine is at a depth of 45 feet below sea level. It then descends another 23 feet, and after that, it ascends 15 feet.
Explain what the submarine's final position is, relative to sea level?
53 feet below sea level.
Which of these numbers has the greatest absolute value?
A) −12
B) 10
C) −15
D) 8
C.) -15
Which way do the coordinates go?
Clockwise?
or
Counter clockwise?
Counter clockwise
Which pair shows additive inverses?
A) 5 and 10
B) -3 and 3
C) 8 and 8
D) -2 and -4
B.)
Explain why the number 0 does not have a multiplicative inverse.
Because anything times 0 is 0
Sarah is playing a video game where she can gain or lose points. She starts with 0 points. First, she gains 15 points for completing a level. Then she loses 8 points for making a mistake. Finally, she gains 12 more points for finding a bonus item.
A) 19 points
A submarine is 15 feet below sea level, and a bird is flying 15 feet above sea level.
Using absolute value, explain how their distances from sea level compare. Write your answer in a complete sentence.
They have the same absolute value, so their distances are the same.
Using your knowledge of the coordinate plane, describe in words where you would plot point B at (4,−3)(4,−3).
Start from the origin and explain the steps you would take to reach this point.
Go to positive 4 on the x-axis, then go down to -3 on the y-axis.
What is the additive inverse for -3/4
3/4
What is the product when you multiply 2/5 and its multiplicative inverse?
1
A fish swims at 42 feet below sea level. It swims another 14 feet below sea level to avoid a shark. Which of the following expressions can be used to determine the depth of the fish? Select ALL that apply.
A) −42 + (−14)
B) −42 − (−14)
C) −42 − 14
D) −14 + (−42)
A, C, D
Which statement is true about the numbers 10 and −10?
A) They have the same absolute value are not opposites.
B) They have different absolute values and different opposites.
C) They are opposites and have the same absolute value.
D) They are the same number.
C.) They are opposites and have the same absolute value.
If you reflect the point (2,5) across the y-axis, what are the coordinates of the new point?
A) (2,−5)
B) (−2,5)
C) (−2,−5)
D) (5,2)
B.)
Explain how you can use additive inverses to solve this subtraction problem: 12−15.
Write your answer in your own words.
When we subtract, we can think of it as adding the additive inverse. So: 12−15=12+(−15)
Now we're adding 12 and -15: 12+(−15)=−3
So 12−15=−3
What is the multiplicative inverse for 3 1/3
3/10