Decomposition Strategy in Multiplication

The video tutorial demonstrates a mental math strategy for multiplying complex numbers by decomposing them into simpler parts. It begins with an example of multiplying 12 by 22 by breaking 12 into 10 and 2, then multiplying each part by 22 and adding the results. The tutorial further illustrates this method with a more complex example of multiplying 276 by 3, using place value decomposition. This approach simplifies calculations and enhances mental math skills.

What is the main strategy discussed in the video for multiplying complex numbers?

• Decomposing numbers

• Using a calculator

• Guessing the answer

• Memorizing multiplication tables

In the example 12 * 22, which number is decomposed?

• Neither

• Both 12 and 22

• 12

• 22

What are the two separate multiplication equations derived from decomposing 12?

• 22 * 10 and 22 * 2

• 10 * 22 and 12 * 22

• 10 * 22 and 2 * 22

• 12 * 10 and 12 * 2

What is the result of multiplying 10 by 22?

• 210

• 220

• 200

• 240

What is the result of multiplying 2 by 22?

• 88

• 66

• 22

• 44

What is the final result of adding 220 and 44?

• 264

• 254

• 244

• 274

How is the number 276 decomposed for multiplication with 3?

• Into 276 and 3

• Into 100, 100, and 76

• Into 300 and 76

• Into 200, 70, and 6

What is the result of multiplying 200 by 3?

• 800

• 700

• 500

• 600

What is the result of multiplying 70 by 3?

• 210

• 220

• 230

• 240

What is the result of multiplying 6 by 3?

• 16

• 18

• 22

• 20