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 and explains the importance of understanding the powers of 10 in multiplication. The tutorial highlights common mistakes students make, such as misinterpreting the value of digits. It provides detailed examples of multiplying 78 by 34 and 162 by 84, breaking down each step to demonstrate the use of partial products. By the end, viewers will understand how to apply this method to solve multiplication problems efficiently.

What is the result called when two numbers are multiplied?

• Difference

• Product

• Quotient

• Sum

How can multiplication be described in terms of addition?

• As repeated subtraction

• As division

• As repeated addition

• As a single addition

What happens to a number when it is multiplied by 10?

• It becomes 100 times larger

• It becomes 10 times larger

• It remains the same

• It becomes 10 times smaller

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

• To avoid multiplying each digit as if it represents ones

• To ensure the digits are added correctly

• To make the calculation faster

• To simplify the multiplication process

In the example of multiplying 78 by 34, what is the partial product of 70 and 30?

• 210

• 240

• 2100

• 280

What is the final product of multiplying 78 by 34 using partial products?

• 2652

• 13608

• 4800

• 3600

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

• 4800

• 3600

• 13608

• 2652