Exploring Opposites and Absolute Values in Rational Numbers

The video tutorial explains the concepts of opposites and absolute values of rational numbers using a number line. It demonstrates how to find the absolute value and opposite of both fractions and decimals, using examples like 1.5, -2.25, and -1.75. The tutorial highlights that the absolute value of a number is its distance from zero, and the opposite is the same distance in the opposite direction. It also clarifies that these principles apply equally to fractions and decimals.

What is the absolute value of a rational number?

• The negative of the number

• The square of the number

• The reciprocal of the number

• The distance from zero on the number line

If a number line is divided into halves, where would 1.5 be located?

• At 1

• At 2

• Halfway between 0 and 1

• Halfway between 1 and 2

What is the opposite of 1.5?

• 1.5

• 0.5

• -0.5

• -1.5

Where would -2.25 be located on a number line divided into halves?

• At -2

• At -2.5

• Halfway between -2 and -2.5

• Halfway between -1.5 and -2

What is the absolute value of -2.25?

• 1.25

• -2.25

• 2.25

• -1.25

What is the opposite of -2.25?

• 2.25

• -2.25

• 1.25

• -1.25

For a negative number, how does its opposite compare to its absolute value?

• One is zero

• One is positive, the other is negative

• They are the same

• They are different

For a positive number, how does its absolute value compare to its opposite?

• One is positive, the other is negative

• One is zero

• They are different

• They are the same

Where would -1.75 be located on a number line divided into halves?

• Halfway between -1.5 and -2

• At -2

• Halfway between -1 and -1.5

• At -1.5

What is the absolute value of -1.75?

• 1.75

• -1.75

• 0.75

• -0.75