Understanding Absolute Value and Opposites

This lesson covers the concept of absolute value and opposites using rational numbers. It explains how to graph rational numbers on a number line, find their opposites, and calculate changes in values using examples like stock prices. The lesson also delves into the absolute value of rational numbers, emphasizing that it is always a positive distance from zero. Students are encouraged to analyze positions of rational numbers and engage in higher-order thinking through challenging questions. The lesson concludes with a brief mention of homework assignments.

What is the main focus of lesson 3.2?

• Learning about fractions and decimals

• Understanding the absolute value and opposites of rational numbers

• Graphing integers on a number line

• Exploring the coordinate plane

Where would -3.5 be located on a number line?

• Between 2 and 3

• Between -2 and -3

• Between -3 and -4

• Between 3 and 4

How do you determine the opposite of a rational number?

• By finding its reciprocal

• By changing its sign

• By adding 1 to it

• By subtracting it from zero

What is the absolute value of -4.5?

• -4.5

• 4.5

• 9

• 0

Why is the absolute value always positive?

• Because it is a whole number

• Because it represents a distance

• Because it is a fraction

• Because it is always greater than zero

If the absolute value of a number is 2.78, what is the distance between the number and its absolute value?

• 0

• 1.39

• 2.78

• 5.56

Which number is farther to the left on a number line: -6.85 or -6.8?

• -6.85

• It depends on the scale

• -6.8

• They are the same

What is the result of finding the absolute value of -5.3 and then its opposite?

• 5.3

• -5.3

• 0

• 10.6

In a math game, what is the least possible number that can be made using 3, 5, and 7 inside absolute value bars?

• 357

• 75.3

• 35.7

• 573

What mistake did Brad make in the math game?

• He arranged the numbers incorrectly

• He didn't use absolute value bars

• He used the wrong numbers

• He forgot that absolute value makes numbers positive