Comparing and Contrasting Rational Numbers

This video tutorial explains how to compare rational numbers, including integers, fractions, and decimals. It covers the definition of rational numbers and provides strategies for comparing them, such as ensuring numbers are of the same type and using common denominators. The tutorial includes examples of comparing decimals, fractions, improper fractions, and mixed fractions. It also discusses comparing positive and negative numbers using a number line.

Which of the following is a rational number?

• e (Euler's number)

• π (pi)

• 0.75

• √2

What symbol would you use to compare two numbers that are equal?

• =

• >

• ≠

• <

When comparing two fractions, what should you ensure they have?

• The same denominator

• The same decimal representation

• The same whole number part

• The same numerator

What is the first step in comparing two decimal numbers?

• Align the decimal points

• Convert them to fractions

• Compare the whole number parts

• Add zeros to the shorter number

How do you convert the fraction 3/25 to a decimal?

• Multiply by 4

• Divide 3 by 25

• Add 0.25

• Subtract 0.75

What is the decimal equivalent of 3/25?

• 0.20

• 0.15

• 0.12

• 0.08

How do you convert a mixed fraction to an improper fraction?

• Subtract the numerator from the denominator

• Divide the numerator by the whole number

• Multiply the whole number by the denominator and add the numerator

• Add the numerator to the denominator

What is the improper fraction form of 2 and 3/8?

• 19/8

• 11/8

• 8/3

• 16/3

Where are all negative numbers located on a number line?

• To the left of zero

• To the right of zero

• Below zero

• Above zero

Which is greater: -4/5 or -1/3?

• -4/5

• They are equal

• -1/3

• Cannot be determined