Multiplying Multi-Digit Numbers Using Partial Products

This video tutorial teaches how to multiply multi-digit numbers using partial products. It begins with an introduction to the concept of partial products and a review of basic multiplication principles, emphasizing the importance of place value. The tutorial provides two detailed examples: multiplying 78 by 34 and 162 by 84, demonstrating the step-by-step process of breaking down numbers into their expanded forms and calculating partial products. The video concludes with a summary of the method and its benefits in simplifying complex multiplication tasks.

What is the result called when two numbers are multiplied together?

• Product

• Difference

• Sum

• Quotient

Why is it important to consider the place value of each digit in multiplication?

• To make the multiplication process faster

• To ensure the numbers are added correctly

• To simplify the numbers involved

• To avoid treating each digit as a number of ones

When multiplying 78 by 34 using partial products, what is the first step?

• Break apart each number into its individual values

• Add the numbers together

• Multiply the numbers directly

• Subtract the smaller number from the larger one

What is the partial product of 70 multiplied by 30 in the example of 78 * 34?

• 280

• 240

• 2100

• 210

In the example of multiplying 162 by 84, what is the expanded form of 162?

• 16 + 2

• 100 + 62

• 160 + 2

• 100 + 60 + 2

What is the partial product of 100 multiplied by 80 in the example of 162 * 84?

• 400

• 800

• 8000

• 4800

What is the final product of multiplying 162 by 84 using partial products?

• 13068

• 13680

• 13806

• 13608