Comparing and Understanding Rational Numbers

The video tutorial explains rational numbers, which include fractions, finite decimals, and repeating decimals. It introduces two rules for comparing rational numbers: positive numbers are greater than negative numbers, and fractions should be converted to decimals for easier comparison. The tutorial also discusses using the number line to visualize and compare the values of rational numbers.

Which of the following is a rational number?

• π (pi)

• 0.333...

• e (Euler's number)

• √2

Which of these numbers is an integer and also a rational number?

• 1/3

• 0.5

• 4

• √2

What is the first rule for comparing rational numbers?

• Use the number line

• Convert fractions to decimals

• Positive numbers are greater than negative numbers

• Find common denominators

Why is -6 considered less than 1?

• Because -6 is a larger absolute value

• Because all negative numbers are less than positive numbers

• Because 6 is a larger number than 1

• Because -6 is closer to zero

What should you do when comparing fractions?

• Compare their numerators

• Use a calculator

• Find common denominators

• Convert them to decimals

What is 1/3 as a decimal?

• 0.3

• 0.3333

• 0.33

• 0.333...

Which is greater: 0.375 or 0.3 repeating?

• 0.375

• 0.3 repeating

• They are equal

• Cannot be determined

What is the purpose of the number line in comparing rational numbers?

• To convert fractions to decimals

• To visualize the numbers

• To find common denominators

• To calculate absolute values

Where do positive numbers fall on the number line?

• In the middle

• To the left

• Above zero

• To the right

What does the number line represent?

• Only positive numbers

• Only negative numbers

• Only integers

• All real numbers