Understanding Absolute Values and Rational Numbers

This video tutorial covers sixth-grade math concepts, focusing on ordering integers and rational numbers. It begins with an opening exercise on ordering integers from least to greatest, followed by writing inequality statements and understanding absolute values. The tutorial then demonstrates using a number line to represent integers and their absolute values. In Exercise 1, students learn to order rational numbers and understand their absolute values. Finally, Exercise 2 involves creating sets of integers and rational numbers with specific order properties, emphasizing the relationship between numbers and their absolute values.

Which of the following lists the integers in order from least to greatest?

• 5, 2, 8, 7

• 7, 8, 5, 2

• 2, 5, 7, 8

• 8, 5, 7, 2

What is the absolute value of -12?

• 24

• 0

• -12

• 12

How do the absolute values of negative integers compare to the integers themselves?

• They are always negative.

• They are always positive.

• They are opposite in order.

• They are the same.

Which of the following is a positive rational number?

• -6.3

• -4.5

• 2.1

• 0

What is the absolute value of -4.5?

• 4.5

• -4.5

• 0

• 9

Which set of integers has the same order as their absolute values?

• -9, -7, -5, -1

• 9, 7, 5, 1

• -1, -5, -7, -9

• 1, 5, 7, 9

Which set of non-integer rational numbers has the same order as their absolute values?

• 7.4, 6.33, 2.75, 1.5

• -7.4, -6.33, -2.75, -1.5

• 1.5, 2.75, 6.33, 7.4

• -1.5, -2.75, -6.33, -7.4

What is the smallest positive number in the set: 1, 1.5, 2.75, 5?

• 5

• 1

• 2.75

• 1.5

Which of the following is the correct order of negative numbers from least to greatest?

• -1, -5, -7, -9

• -9, -7, -5, -1

• -5, -1, -9, -7

• -7, -9, -1, -5

Which of the following is a correct statement about absolute values?

• Absolute values are always negative.

• Absolute values are always positive or zero.

• Absolute values are the same as the original numbers.

• Absolute values are always greater than the original numbers.