Comparing and Ordering Rational Numbers

The video tutorial covers comparing and ordering rational numbers, including decimals and fractions. It explains using number lines, common denominators, and converting to decimals for comparison. The tutorial provides examples and practice problems to help students understand the concepts.

What types of numbers are considered rational numbers?

• Only whole numbers

• Only integers

• Whole numbers, integers, decimals, mixed numbers, and fractions

• Only fractions

Which of the following is a rational number?

• e

• 0.75

• π

• √2

When comparing two decimal numbers, which symbol is used to show that one number is smaller than the other?

• ≥

• <

• >

• =

On a number line, which direction indicates a smaller number?

• Right

• Left

• Up

• Down

How can you compare two fractions with different denominators?

• By converting them to decimals

• By finding a common denominator

• By adding them

• By subtracting them

Which method can be used to compare fractions if decimals make more sense to you?

• Multiplying the fractions

• Finding a common denominator

• Converting fractions to decimals

• Adding the fractions

When comparing a decimal and a fraction, what is a reliable method?

• Subtract both numbers

• Add both numbers

• Convert the decimal to a fraction

• Convert the fraction to a decimal

Which of the following is greater: -0.51 or -0.53?

• -0.53

• Cannot be determined

• They are equal

• -0.51

What is the first step in ordering a set of rational numbers from least to greatest?

• Convert all numbers to fractions

• Convert all numbers to decimals

• Subtract all numbers

• Add all numbers

Which of the following sets of numbers is ordered from least to greatest?

• -2.88, -2.46, -2.10

• -2.10, -2.46, -2.88

• -2.46, -2.88, -2.10

• -2.88, -2.10, -2.46