Exploring Integers and Absolute Value Concepts

The lesson covers integers and absolute value, emphasizing the concept of distance from zero. Students practice finding absolute values and comparing integers using symbols like less than, greater than, and equal to. The lesson also includes exercises on ordering integers from least to greatest. Homework is assigned from section 1.1, reinforcing the concepts discussed.

Which of the following is a neutral integer?

• -1

• 2

• 0

• 1

What is the absolute value of -7?

• 14

• 7

• 0

• -7

What is the absolute value of 0?

• 0

• 10

• 1

• -1

What is the absolute value of -5?

• 10

• -5

• 0

• 5

Which symbol correctly compares 5 and the absolute value of -7?

• 5 < 7

• 5 > 7

• 5 = 7

• 5 <= 7

Which of the following is true for the comparison: -8 ___ 2?

• !=

• =

• >

• <

Which of the following is true: -8 ___ -7?

• =

• <

• !=

• >

What is the correct order from least to greatest for the numbers: -2, 2, |3|, |-5|, 8?

• -2, 2, 3, 5, 8

• 2, -2, 3, 5, 8

• 8, 5, 3, 2, -2

• 3, -2, 2, 5, 8

Which number is the smallest: -|1|, |0|, 2, |3|?

• |0|

• 2

• |3|

• -|1|

What should you do when ordering numbers from least to greatest?

• Write them in the order given

• Consider the absolute values only

• Graph them on a number line if needed

• Ignore the signs