Comparing and Ordering Rational Numbers

The video tutorial explains how to compare and order rational numbers, which include integers, fractions, decimals, and percents. It outlines three main rules: checking the signs of numbers, comparing whole numbers, and converting numbers to a common form (either fractions or decimals) for easier comparison. The tutorial provides examples to illustrate these rules and concludes with a summary of the key points.

Which of the following is a rational number?

• √2

• π

• 1/2

• e

What is the first step in comparing rational numbers?

• Find common denominators

• Check the whole numbers

• Check the signs

• Convert to decimals

Which of the following statements is true?

• A negative number is always equal to a positive number

• A positive number is always greater than a negative number

• A negative number is always greater than a positive number

• A positive number is always less than a negative number

What should you check after the signs when comparing rational numbers?

• The whole numbers

• The fractions

• The decimal places

• The percentages

If you have 1.5 and 2.3, which is greater?

• Cannot be determined

• They are equal

• 2.3

• 1.5

What should you do if you are still unsure after checking signs and whole numbers?

• Guess

• Convert to common forms

• Check the percentages

• Check the square roots

What is the decimal equivalent of 2/5?

• 0.25

• 0.2

• 0.4

• 0.5

Which is greater: 0.4 or 0.1?

• They are equal

• 0.1

• 0.4

• Cannot be determined

What is the common denominator for 1/2 and 1/4?

• 8

• 4

• 10

• 2

Which is greater: 1/3 or -0.3?

• 1/3

• They are equal

• Cannot be determined

• -0.3