Absolute Value: Magnitude (EngageNY)

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

• The temperature is 10 degrees below zero.

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

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

• 10 degrees is how many degrees above zero?

Use absolute value to represent the amount, in dollars, of a $238.25 profit.

• $\left|-238.25\right|=238.25$

• $\left|238.25\right|=238.25$

Judy lost 15 pounds. Use absolute value to represent the number of pounds Judy lost.

• $\left|-15\right|=15$

• $\left|15\right|=15$

A bank teller assisted two customers with transactions. Marissa made a $25 withdrawal from a savings account. Austin made a $15 deposit. Use absolute value to show the size of each transaction.

• $\left|25\right|=25$

• $\left|-25\right|=25$

• $\left|15\right|=15$

• $\left|-15\right|=15$

A bank teller assisted two customers with transactions. Marissa made a $25 withdrawal from a savings account. Austin made a $15 deposit. Which transaction involved more money?

• Austin's transaction of a $15 deposit.

• Marissa's withdrawal of $25.

I am thinking of two numbers. Both numbers have the same absolute value. What must be true about the numbers?

• They are both negative.

• They are both positive.

• The numbers are opposites.

• They are the same distance from zero.

True/False

The absolute value of a negative number will always be a positive number.

• True

• False

True/False

Positive number will always have a higher absolute value than negative numbers.

• True, positive numbers will always have a higher absolute value.

• False, a number and its opposite have the same absolute value.

Look at the bank account transactions listed below, and determine which has the greatest impact on the account balance.

• A withdrawal of $60, $\left|-60\right|=60$

• A deposit of $55, $\left|55\right|=55$

• A withdrawal of $58.50, $\left|-58.50\right|=58.50$