Comparing Rational Numbers Using LCM

The video tutorial explains two methods for comparing rational numbers: the cross multiplication method and the LCM method. It begins with an introduction to the importance of comparing rational numbers, followed by a detailed explanation of the cross multiplication method, including examples with both positive and negative rational numbers. The tutorial then transitions to the LCM method, demonstrating how to arrange rational numbers in ascending and descending order by finding a common denominator. Key points include ensuring denominators are positive and converting rational numbers to equivalent forms for easier comparison.

What are the two methods discussed in the video for comparing rational numbers?

• Multiplication and division

• Square root and cube root

• Addition and subtraction

• Cross multiplication and LCM

In the cross multiplication method, what do you multiply the denominator of one fraction with?

• The same fraction's denominator

• The same fraction's numerator

• The denominator of the other fraction

• The numerator of the other fraction

When comparing 5/3 and 2/9 using cross multiplication, which is larger?

• Cannot be determined

• They are equal

• 2/9

• 5/3

In the cross multiplication method, what is the result of multiplying 9 by 5?

• 40

• 35

• 54

• 45

What is the result of multiplying 2 by 3 in the cross multiplication method?

• 6

• 9

• 5

• 8

What should you do if a rational number has a negative denominator?

• Make the numerator negative

• Leave it as it is

• Ignore the negative sign

• Make the denominator positive

Which is greater: -5/3 or 2/9?

• 2/9

• -5/3

• Cannot be determined

• They are equal

In the example comparing -5/7 and -4/9, which is larger?

• Cannot be determined

• -4/9

• -5/7

• They are equal

In the example comparing -2/-3 and 1/-7, what is the first step?

• Multiply the fractions

• Add the fractions

• Remove the negative sign from the denominators

• Subtract the fractions

What is the equivalent form of -2/-3 after removing the negative sign?

• 2/3

• -2/3

• 3/2

• -3/2