Exploring Integers and Absolute Value

This lesson covers integers and absolute value, explaining that integers are whole numbers without fractions or decimals. It introduces the concept of opposites, numbers equidistant from zero but in opposite directions. The lesson then delves into absolute value, which measures a number's distance from zero, regardless of direction. Examples illustrate how to calculate absolute values and compare numbers using them. The lesson also explains how to evaluate expressions with absolute values, emphasizing their precedence in order of operations. Finally, it clarifies the difference between absolute value and opposites, highlighting common misconceptions.

Which of the following is an integer?

• 2/3

• -3

• 0.1

• 5.5

What is the opposite of 7 on a number line?

• -1

• -7

• 0

• 7

What is the absolute value of -9?

• -9

• 0

• 9

• 1

If the absolute value of a number is 4, which of the following could be the number?

• -4

• Neither -4 nor 4

• 4

• Both -4 and 4

What is the absolute value of -18 with a negative sign outside the absolute value bars?

• 18

• 0

• -18

• 1

Which of the following is true? 3 is _____ 5.

• not comparable to

• equal to

• less than

• greater than

Evaluate the expression: |-7| + 3

• -4

• 4

• 0

• 10

What is the result of 2 * | -5 |?

• -10

• 10

• 0

• 5

Which of the following is true? |-3| is _____ 3.

• not comparable to

• equal to

• less than

• greater than

Why are the absolute value of (x + y) and the sum of the absolute values of x and y not always the same?

• Because absolute values are always positive

• Because they are always the same

• Because of the order of operations

• Because x and y are always negative