Absolute Value Distance

Mr. Clay decides to go surfing. Unfortunately, he doesn’t know what he is doing and now he is under water! He is 15 feet under the water! Ms. Fuhrman, an expect surfer, decides to go help him. Ms. Fuhrman is surfing a wave 10 feet above the surface of the water when she decides to go save Mr. Clay. How far from Mr. Clay is she when she decides to save him?

• 10 feet

• 15 feet

• 25 feet

• -25 feet

Find the distance between (8, 3) and (8, 10)

• 7

• 13

• 8

• 16

Find the distance between (-2, 10) and (-5, 10)

• 2

• 7

• 3

• 5

You can find the distance between any two points using the absolute value method.

• Yup! any points no matter what!

• No! They need to have one coordinate in common!

• What is absolute value? Ms. Fuhrman hasn't taught me anything!

• No! Absolute value is fake and should not be trusted!

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

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

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

Which is farther from zero? Use absolute value to defend your answer.

• They are the same distance.

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

Evaluate responses using AI:

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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?