Adding and Subtracting Rational Numbers with the Butterfly Method

This video tutorial teaches how to add and subtract rational numbers using the butterfly method. It begins with an introduction to key vocabulary such as ratios and rational numbers. The butterfly method is explained for both addition and subtraction of fractions, providing a quicker alternative to finding the least common denominator. The video also covers integer operations and includes practice problems to reinforce learning.

What is a ratio typically written with instead of a fraction bar?

• A semicolon

• A colon

• A period

• A dash

Which of the following is NOT a characteristic of rational numbers?

• They include fractions

• They include integers

• They can be expressed as a fraction

• They can have zero as a denominator

What does LCD stand for in the context of fractions?

• Lowest Common Denominator

• Least Common Denominator

• Largest Common Denominator

• Last Common Denominator

In the butterfly method, what is the first step after drawing the butterfly wings?

• Cross-multiply the numbers

• Find the least common denominator

• Divide the denominators

• Add the numerators

What is the result of adding 1/4 and 3/5 using the butterfly method?

• 1/2

• 2/3

• 7/9

• 17/20

When using the butterfly method for subtraction, what should you do with the subtraction sign?

• Multiply it by the denominators

• Ignore it

• Change it to addition

• Bring it up to the top

What is the result of subtracting 7/8 from 1/4 using the butterfly method?

• 9/32

• 11/32

• 19/32

• 5/32

How do you handle an improper fraction result in the butterfly method?

• Leave it as is

• Convert it to a mixed number

• Multiply the numerator and denominator by 2

• Subtract the numerator from the denominator

What is the simplified form of 25/50?

• 2/5

• 1/4

• 5/10

• 1/2

What is the result of adding 4/5 and 2/9 using the butterfly method?

• 1 and 4/45

• 1 and 3/45

• 1 and 2/45

• 1 and 1/45