Compensation Method in Subtraction

The video tutorial introduces an alternative method for subtracting mixed numbers, focusing on the compensation method. It begins by reviewing common methods, such as finding a common denominator and converting to improper fractions. The compensation method simplifies subtraction by converting the subtrahend to a whole number, making the process easier. Two examples demonstrate this method, highlighting its efficiency when an exchange is required. The tutorial emphasizes that the compensation method is only necessary when direct subtraction is not possible.

What is the first step in subtracting mixed numbers using common methods?

• Add the fractions directly

• Find the least common denominator

• Subtract the whole numbers first

• Convert to improper fractions

In the common method, what do you do if you cannot subtract the fractions directly?

• Use a calculator

• Add a whole number to the minuend

• Convert to decimals

• Perform an exchange with the whole number

What is the main advantage of the compensation method?

• It simplifies subtraction by converting to whole numbers

• It uses decimals instead of fractions

• It avoids finding a common denominator

• It requires fewer calculations

In the compensation method, what is added to the subtrahend to make it a whole number?

• An improper fraction

• A decimal

• A proper fraction

• A whole number

When using the compensation method, what must be done to maintain an equivalent difference?

• Subtract the same fraction from the minuend

• Add the same fraction to the minuend

• Divide the minuend by the same fraction

• Multiply the minuend by the same fraction

In the example of 6 and 1/3 minus 3 and 3/4, what is the least common denominator used?

• 10

• 8

• 15

• 12

What is the result of 6 and 1/3 minus 3 and 3/4 using the compensation method?

• 2 and 1/12

• 2 and 7/12

• 3 and 1/12

• 3 and 7/12

When is the compensation method not necessary?

• When the minuend is a whole number

• When the subtrahend is larger

• When the whole numbers are equal

• When the fractions can be subtracted directly

What is the difference when subtracting 6 and 10/15 from 2 and 12/15 without using compensation?

• 4 and 2/15

• 3 and 2/15

• 3 and 1/15

• 4 and 1/15

What is the purpose of the compensation method in subtracting mixed numbers?

• To make subtraction more complex

• To simplify subtraction by avoiding exchanges

• To convert fractions to decimals

• To eliminate the need for a common denominator