Exploring Integers and Absolute Value Concepts

The video tutorial introduces integers and their representation on a number line, explaining the difference between positive and negative integers. It provides examples of integer representation in real-life scenarios, such as temperature and rainfall. The tutorial includes guided practice on graphing integers and explains the concept of absolute value, emphasizing its role as the distance from zero on a number line. Finally, it covers evaluating expressions involving absolute values, demonstrating the order of operations and calculation techniques.

What is the integer representation for 3 degrees below zero?

• 0

• -0

• 3

• -3

How do you graph the integer -4 on a number line?

• Cannot be graphed

• 4 units to the right of zero

• 4 units to the left of zero

• At the zero point

If you deposit $20 into your bank account, what integer represents this action?

• 0

• -20

• 20

• 1

How do you graph the set of integers {2, -3, 0} on a number line?

• Cannot be graphed

• Place dots at 2, -3, and 0

• Place dots at -2, 3, and 0

• Place dots at 2, 3, and 0

If the temperature rises 5 degrees above zero, how is this represented as an integer?

• 10

• 0

• -5

• 5

What is the absolute value of -7?

• 1

• 0

• -7

• 7

What is the absolute value of 5?

• 10

• -5

• 0

• 5

What does the absolute value of a number represent?

• Its distance from -1 on the number line

• Its numerical value without considering sign

• Its distance from 1 on the number line

• Its distance from 0 on the number line

What is the result of subtracting the absolute value of -4 from the absolute value of 6?

• -2

• 0

• 2

• 10

What is the absolute value of -10 minus the absolute value of 2?

• 8

• 12

• -12

• -8