Ordering Rational Numbers and Integers

This video tutorial covers lesson 12, focusing on the relationship between absolute value and order. It begins with an exercise to order integers from least to greatest, followed by a comparison of the order of integers and their absolute values. The lesson highlights how the order of positive integers remains unchanged, while the order of negative integers flips when considering absolute values. An exercise on ordering rational numbers is included, and the lesson concludes with a summary of key points.

What is the correct order of the following integers from least to greatest: -12, -9, -5, -2, -1, 0, 2, 5, 7, 8?

• 2, 5, 7, 8, 0, -1, -2, -5, -9, -12

• 0, -1, -2, -5, -9, -12, 2, 5, 7, 8

• 8, 7, 5, 2, 0, -1, -2, -5, -9, -12

• -12, -9, -5, -2, -1, 0, 2, 5, 7, 8

How do you write an inequality statement for the integers -12, -9, -5?

• -12 > -9 > -5

• -5 > -9 > -12

• -12 < -9 < -5

• -5 < -9 < -12

What happens to the order of negative integers when you consider their absolute values?

• The order becomes alphabetical.

• The order remains the same.

• The order becomes random.

• The order reverses.

Which of the following is a correct ascending order of the absolute values of -12, -9, -5, -2, -1?

• 2, 1, 5, 9, 12

• 12, 9, 5, 2, 1

• 1, 2, 5, 9, 12

• 5, 9, 12, 1, 2

In the exercise, which number is placed in the middle when separating positive and negative rational numbers?

• 0

• 2

• 1

• -1

What is the correct order of the positive rational numbers given in the exercise?

• 2.1, 0.25, 3.9, 2.75, 3.99

• 2.75, 0.25, 3.99, 3.9, 2.1

• 0.25, 2.1, 2.75, 3.9, 3.99

• 3.99, 3.9, 2.75, 2.1, 0.25

Which of the following is NOT a negative rational number from the exercise?

• 4.5

• -6.3

• -1.5

• -9.25

What is the relationship between the order of positive integers and their absolute values?

• The order is reversed.

• The order becomes alphabetical.

• The order remains unchanged.

• The order is random.

What is the final step in the exercise on rational numbers?

• Find the sum of all numbers.

• Separate numbers into even and odd.

• Order all numbers from least to greatest.

• Order all numbers from greatest to least.

What is the conclusion of the lesson regarding the order of absolute values?

• The order of absolute values for negative numbers is opposite to their original order.

• The order of absolute values is the same for both positive and negative numbers.

• Absolute values are irrelevant to ordering.

• Absolute values are always greater than their integers.