Mystery 1
Maria was sick with the flu, and her weight change as a result of it is represented by -4 pounds. How much weight did Maria lose?
4
Meg is playing a card game with her friend, Iona. The cards have positive and negative numbers printed on them.
Meg exclaims: “The absolute value of the number on my card equals 8.” What is the number on Meg’s card?
Meg either has 8 or −8 on her card
Judy lost 15 pounds. Use absolute value to represent the number of pounds Judy lost.
|−15| = 15
Which has a greater magnitude: −24.6 pounds and −24.58 pounds
−24.6 pounds has the greater magnitude
Jeffrey owes his friend $5. How much is Jeffrey's debt?
Jeffrey has a $𝟓 debt.
List 2 positive and 2 negative numbers whose absolute value is greater than 3.
Answers Vary
Carl said two integers can have the same absolute value, and Angela said one integer can have two absolute values. Who is right? Defend your answer.
Carl is right because an integer and its opposite are the same distance from zero.
True or False: The absolute value of a negative number will always be a positive number.
True
The elevation of Niagara Falls, which is located between Lake Erie and Lake Ontario, is 326 feet. How far is this above sea level?
It is 326 feet above sea level
Julia used absolute value to find the distance between 0 and 6 on a number line. She then wrote a similar statement to represent the distance between 0 and −6. Below is her work. Is it correct? Explain.
|6| = 6 and |−6| = −6
No the absolute values of -6 and 6 are 6.
Jamie told his math teacher: “Give me any absolute value, and I can tell you two numbers that have that absolute value.” Is Jamie correct?
No, Jamie is not correct because zero is its own opposite.
A bank teller assisted two customers with transactions. One customer made a $25 withdrawal from a savings account. The other customer made a $15 deposit. Use absolute value to show the size of each transaction. Which transaction involved more money?
The $25 withdrawal involved more money.
How far below zero is −16 degrees Celsius?
−16°𝐂 is 16 degrees below zero.
Use absolute value to represent the amount, in dollars, of a $238.25 profit.
|238.25| = 238.25
The temperature is 10 degrees below zero. Express this as an integer.
-10
Which is farther from zero: −7 3/4 or 7 1/2? Use absolute value to defend your answer
−7 3/4 is farther from zero than 7 1/2.