Understanding the Compensation Method in Subtraction

This video tutorial explains the compensation method in subtraction, which simplifies difficult calculations by transforming them into equivalent, easier ones. It begins with an introduction to the method, followed by an explanation of its purpose. The principle of compensation is demonstrated through examples, showing how adding or subtracting the same number from both terms results in equivalent calculations. Finally, a step-by-step guide is provided to apply this method effectively, emphasizing the ease of subtracting round numbers.

What is the main purpose of the compensation method in subtraction?

• To make a difficult calculation easier by converting it into an equivalent simpler one.

• To add complexity to simple calculations.

• To avoid doing any calculations.

• To change the numbers completely.

If 86 - 37 equals 49, which of the following is an equivalent calculation?

• 90 - 41

• 89 - 40

• 85 - 36

• 88 - 39

In the example 86 - 37 and 89 - 40, what was added to both terms to make them equivalent?

• 5

• 3

• 4

• 2

What should you do if you add a number to one term in a subtraction problem?

• Subtract the same number from the other term.

• Add the same number to the other term.

• Multiply the other term by the same number.

• Do nothing to the other term.

In the example 145.3 - 99.5, what number is added to 99.5 to make it a round number?

• 0.3

• 0.4

• 0.5

• 0.6

Why is it recommended to compensate the second term in subtraction?

• Because it is always larger.

• Because it is easier to subtract round numbers.

• Because it is always smaller.

• Because it makes the calculation more complex.

What is the first step in applying the compensation method?

• Multiply both terms by the same number.

• Underline the second term.

• Add a number to the first term.

• Subtract a number from the second term.

What is the new calculation after adding 0.5 to both terms in 145.3 - 99.5?

• 145.3 - 99

• 145.8 - 100

• 145.3 - 100

• 145.8 - 99.5

What is the final result of the calculation 145.8 - 100?

• 45.3

• 45.5

• 46.0

• 45.8

What is the purpose of writing the new calculation after compensation?

• To make the calculation more complex.

• To change the original numbers.

• To simplify the calculation.

• To verify the original calculation.