Comparing and Converting Rational Numbers

The video tutorial explains how to compare two integers and rational numbers. It starts by discussing the comparison of integers, then moves on to rational numbers, explaining the use of a number line. The tutorial highlights the difficulty of using a number line for rational numbers and suggests converting them to have the same denominator. An example is provided to demonstrate the process of comparing two rational numbers by converting them to equivalent forms with a common denominator and comparing their numerators.

What is the first step in comparing two integers?

• Convert them to fractions

• Multiply them

• Check if they are equal or unequal

• Find their sum

On a number line, which rational number is greater?

• The one on the left

• The one on the right

• They are equal

• It depends on the number

Why might it be difficult to use a number line to compare rational numbers?

• Rational numbers can be very close together

• Number lines are only for integers

• Number lines are not accurate

• Rational numbers are always equal

What is the purpose of converting rational numbers to have the same denominator?

• To easily compare their sizes

• To simplify them

• To make them integers

• To add them together

What is the LCM of 8 and 3?

• 3

• 8

• 24

• 16

How do you convert 5 by -8 to have a positive denominator?

• Add 8 to the numerator

• Multiply numerator and denominator by -1

• Subtract 5 from the denominator

• Leave it as it is

What is the equivalent of -5/8 with a denominator of 24?

• -5/24

• 5/24

• 15/24

• -15/24

What is the equivalent of 2/3 with a denominator of 24?

• 16/24

• 8/24

• 2/24

• 24/24

Which is greater: 16/24 or -15/24?

• -15/24

• Cannot be determined

• They are equal

• 16/24

What is the result of comparing 2/3 and -5/8?

• They are equal

• -5/8 is greater

• 2/3 is greater

• Cannot be compared