Understanding Multiplication Using Partial Products and Traditional Algorithm

The video tutorial explains how to multiply 942 by 4 using two methods: partial products and the traditional algorithm. It begins by expanding 942 into 900, 40, and 2, and then multiplies each by 4 to get partial products. These are summed to find the final product, 3768. The traditional algorithm is then demonstrated, showing step-by-step multiplication and carrying over values. Both methods arrive at the same product, reinforcing the understanding of multiplication techniques.

What is the first step in solving 942 times 4?

• Write the numbers horizontally.

• Write the product vertically aligning place values.

• Directly calculate the product.

• Use a calculator.

How is 942 expressed in expanded form?

• 900 + 40 + 2

• 900 + 42

• 940 + 2

• 90 + 42

What is the result of multiplying 4 by 40 in the partial products method?

• 160

• 140

• 120

• 180

What is the sum of the partial products for 942 times 4?

• 3668

• 3868

• 3568

• 3768

In the traditional algorithm, what is the result of 4 times 2?

• 12

• 10

• 8

• 6

What is the next step after multiplying 4 by 2 in the traditional method?

• Add the results

• Multiply 4 by 40

• Multiply 4 by 9

• Multiply 4 by 4

What is the final product of 942 times 4 using the traditional algorithm?

• 3768

• 3868

• 3668

• 3568

Why do we add 1 to the hundreds place in the traditional method?

• Because 4 times 2 is 8

• Because 4 times 900 is 3600

• Because 4 times 40 is 160

• Because 4 times 9 is 36