Absolute Value - Magnitude and Distance

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?

• 8

• 8 or -8

• -8

• 18

List a positive and negative number whose absolute value is greater than 3.

Which of the following situations can be represented by the absolute value of 10? Select all that apply.

• Determine the size of Harold's debt if he owes $10.

• The temperature is 10 degrees below zero. Express this as an integer.

• Determine how far -10 is from zero on a number line.

• 10 degrees is how many degrees above zero?

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.

The ______________ ____________ of a number is the distance between the number and zero on the number line.

(a)  

Which absolute value statement correctly represents the amount, in dollars, of a $238.25 profit?

• |-238.25| = 238.25

• |238.25| = -238.25

• |238.25| = 238.25

• |-238.25| = -238.25

Judy lost 15 pounds. First, write this number as an integer. Next, use absolute vale to represent the number of pounds Judy lost.

In math class, Carl and Angela are debating about integers and absolute value. Carl said two integers can have the same absolute vale, and Angela said one integer can have two absolute values. Who is right? Why?

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? For any given absolute value, will there always be two numbers that have that absolute value?

Use the number line to show why a number and its opposite have the same absolute value.