Comparing Rational Numbers and Operations

The video tutorial explains how to compare two integers and rational numbers. It starts by discussing the comparison of integers for equality or inequality. Then, it moves on to comparing rational numbers using a number line, highlighting the difficulty of this method. To simplify, the tutorial suggests converting rational numbers to equivalent forms with the same denominator. An example is provided to demonstrate the process of comparing two rational numbers by converting them to have a common denominator and then comparing their numerators.

What is the primary method to determine if two integers are equal or unequal?

• Using a number line

• Comparing their absolute values

• Using a calculator

• Checking their signs

On a number line, which rational number is greater?

• The one on the left

• The one with a smaller numerator

• The one on the right

• The one with a larger denominator

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

• Rational numbers can be complex

• Number lines are not precise

• Rational numbers are too large

• Number lines can be cumbersome for close values

What is the first step in comparing two rational numbers with different denominators?

• Find the LCM of the denominators

• Add the numerators

• Subtract the smaller denominator from the larger

• Multiply the numerators

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

• To easily compare their sizes

• To make them integers

• To simplify calculations

• To change their values

In the example, what is the LCM of 8 and 3?

• 32

• 16

• 48

• 24

How is the rational number 5 by -8 rewritten to have a positive denominator?

• -5 by -8

• 5 by 8

• -5 by 8

• 5 by -8

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

• -15 by 24

• -10 by 24

• -5 by 24

• -20 by 24

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

• 18 by 24

• 16 by 24

• 14 by 24

• 12 by 24

Which of the following is greater: 16 by 24 or -15 by 24?

• 16 by 24

• They are equal

• -15 by 24

• Cannot be determined