Comparing and Ordering Rational Numbers

This video tutorial covers the comparison and ordering of rational numbers, including fractions, decimals, and mixed numbers. It provides strategies for converting numbers to a common format, such as decimals, to facilitate comparison. The tutorial also includes practice problems and solutions, emphasizing the importance of consistent place value for accurate comparison and ordering.

What is the first step in comparing rational numbers?

• Convert them to whole numbers

• Convert them to mixed numbers

• Convert them to the same format

• Convert them to fractions

When comparing a positive and a negative rational number, which one is always greater?

• They are equal

• It depends on the value

• The negative number

• The positive number

How do you convert 1/2 to a decimal?

• 0.2

• 0.5

• 0.25

• 0.75

Which of the following is smaller: -0.75 or -0.83?

• Cannot be determined

• They are equal

• -0.83

• -0.75

What is the decimal equivalent of 2/3?

• 0.67

• 0.66

• 0.6

• 0.5

When comparing two negative numbers, which one is considered smaller?

• The one farther from zero

• The one closer to zero

• It depends on the value

• They are equal

What is the decimal form of 5/6?

• 0.6

• 0.5

• 0.75

• 0.83

In ordering rational numbers, what should you do after converting them to the same format?

• Compare their decimal places

• Compare their fractions

• Compare their mixed numbers

• Compare their whole numbers

Which of the following is the correct order from least to greatest: -6.5, -2, 0, 4.2, 8.29?

• 4.2, 8.29, 0, -2, -6.5

• -6.5, -2, 0, 4.2, 8.29

• 8.29, 4.2, 0, -2, -6.5

• 0, -2, -6.5, 4.2, 8.29

When ordering from greatest to least, which number comes first: 8, 5.2, -0.1, -3?

• 5.2

• -3

• 8

• -0.1