Understanding the Compensation Method in Addition

This video tutorial explains the compensation method in addition, which simplifies complex calculations by replacing them with equivalent, simpler ones. It begins with an overview of the method's purpose, followed by a detailed explanation of the principle using examples. The tutorial then provides a step-by-step guide on how to apply the method, using a specific example to illustrate the process. The compensation method involves adjusting one term of an addition to a round number and making a reciprocal adjustment to the other term, resulting in an easier calculation.

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

• To make a difficult calculation easier by replacing it with an equivalent simpler one.

• To add more complexity to a simple calculation.

• To change the numbers completely.

• To avoid doing any calculations.

Tags

CCSS.2.NBT.B.5

If 18 + 36 equals 54, which of the following is an equivalent calculation?

• 24 + 30

• 20 + 34

• 22 + 32

• 16 + 38

Tags

CCSS.2.NBT.B.5

In the example 18 + 36 and 20 + 34, what operation is performed on 18 to get 20?

• Added 2

• Subtracted 2

• Divided by 2

• Multiplied by 2

Tags

CCSS.4.NBT.B.5

What is the first step in applying the compensation method?

• Divide the term by 2.

• Multiply the term by 2.

• Subtract a number from the term.

• Identify the term closest to a round number.

In the example 397 + 125, what number is added to 397 to make it a round number?

• 9

• 7

• 5

• 3

What operation is performed on 125 in the example 397 + 125 to apply the compensation method?

• Multiply by 3

• Divide by 3

• Add 3

• Subtract 3

Tags

CCSS.1.NBT.C.4

CCSS.2.NBT.B.5

After applying the compensation method, what does 397 + 3 become?

• 400

• 390

• 403

• 397

Tags

CCSS.2.NBT.B.7

What is the new calculation after applying the compensation method to 397 + 125?

• 397 + 122

• 400 + 125

• 397 + 128

• 400 + 122

Tags

CCSS.2.NBT.B.7

CCSS.3.NBT.A.2

What is the final result of the calculation 400 + 122?

• 526

• 520

• 522

• 524

Why is the new calculation 400 + 122 simpler than the original 397 + 125?

• Because 125 is a round number.

• Because 397 is a round number.

• Because 400 is a round number.

• Because 122 is a round number.