Exploring Integers and Absolute Value Concepts

This video tutorial covers the basics of integers, including positive and negative numbers, opposites, and their representation on a number line. It explains how to compare, order, and graph integers, and introduces inequalities. The concept of absolute value is also explored, with examples demonstrating how to evaluate expressions involving absolute values.

What is an integer?

• A number that is always positive

• A number that is always greater than zero

• A number that can be positive, negative, or zero

• A number that is always negative

Which of the following is the opposite of -23?

• 23

• -23

• -11

• 0

If you deposit $15 into your account, what integer represents this action?

• 15

• -15

• 0

• -8

On a number line, which number is always less than the other?

• The number in the middle

• The number to the left

• The number at zero

• The number to the right

Which of the following inequalities is true?

• -4 > -6

• -4 >= -6

• -4 < -6

• -4 = -6

Order the following integers from least to greatest: -5, 0, 4, -1, 2, 1.

• -5, -1, 0, 1, 2, 4

• 4, 2, 1, 0, -1, -5

• 0, -1, -5, 1, 2, 4

• -1, -5, 0, 1, 2, 4

What is the absolute value of -6?

• -1

• 6

• 0

• -6

Evaluate the expression: | -4 |.

• -8

• 0

• 4

• -4

What is the result of | -8 | - | 5 |?

• 8

• -3

• 3

• 13

If x = -2, what is the value of 6 + | x |?

• -2

• 4

• 6

• 8