Exploring the Ordering of Real Numbers

The video tutorial covers the comparison and ordering of real numbers, focusing on using decimal forms and comparison symbols. It explains how to arrange numbers in ascending and descending order, with special attention to handling negative numbers. The tutorial provides strategies for comparing numbers using a number line and emphasizes the importance of rounding decimals for easier comparison.

What does ascending order mean?

• Listing numbers from greatest to least

• Listing numbers alphabetically

• Listing numbers from least to greatest

• Listing numbers in random order

Which symbol represents 'greater than'?

• <

• =

• ≤

• >

If you have the numbers 1.99 and 1.89, which one is larger?

• They are equal

• 1.99

• 1.89

• Cannot be determined

When comparing negative numbers, which is considered larger?

• The number closer to zero

• The number further from zero

• The number with the larger absolute value

• The number with the smaller absolute value

Which of the following is the correct order from least to greatest for the numbers -4.5, -4.67, -2, -3.5?

• -2, -3.5, -4.5, -4.67

• -4.67, -4.5, -3.5, -2

• -4.5, -4.67, -2, -3.5

• -3.5, -2, -4.67, -4.5

What is the decimal form of 11/3 rounded to the nearest hundredth?

• 3.85

• 3.67

• 3.33

• 3.92

In ascending order, which number comes first: 3.67, 3.83, 3.85, or 3.92?

• 3.67

• 3.92

• 3.83

• 3.85

When arranging numbers in descending order, which number would come first: 1.5, 1.38, 1.34, or 1.33?

• 1.5

• 1.38

• 1.34

• 1.33

Which of the following is the correct descending order for the numbers -0.4, -1.29, -1.5, -1.67?

• -1.67, -1.5, -1.29, -0.4

• -1.5, -1.67, -0.4, -1.29

• -1.29, -0.4, -1.67, -1.5

• -0.4, -1.29, -1.5, -1.67

If you have the numbers 1.5, 1.38, 1.34, and 1.33, which one is the smallest?

• 1.34

• 1.5

• 1.38

• 1.33