Exploring 2-Digit Multiplication with Partial Products

This video tutorial covers the multiplication of two-digit numbers using partial products. It explains how to break down numbers into tens and ones, use estimation for reasonable answers, and apply the 'W' pattern for efficient multiplication. The tutorial includes examples, abstract reasoning with unknowns, and real-world applications. It concludes with a comparison of products without direct multiplication and introduces the next lesson on regrouping.

What is the main difference between multiplying using partial products and multiplying with regrouping?

• Regrouping is used for subtraction.

• Partial products are used for addition.

• Regrouping involves breaking numbers into smaller parts.

• Partial products involve breaking numbers into smaller parts.

When multiplying 27 by 31 using partial products, what is the first step?

• Add the numbers together.

• Draw a rectangle.

• Break the numbers into tens and ones.

• Estimate the product.

What is the estimated product of 27 times 31?

• 800

• 900

• 1000

• 700

In the example of multiplying 23 by 68, what is the partial product of 20 times 60?

• 1800

• 1400

• 1600

• 1200

What shape does the order of multiplying partial products resemble?

• A W

• A triangle

• A circle

• An X

What is the estimated product of 39 times 24 using compatible numbers?

• 1100

• 1200

• 1000

• 900

How many pieces of candy are there if a candy store has 26 jars with 32 pieces each?

• 832

• 1000

• 1200

• 900

What should you do if you can't figure out the missing digits in a partial product problem?

• Start over.

• Skip the problem.

• Go to the next partial product.

• Guess the digits.

How much greater is the product of 34 times 86 compared to 33 times 86?

• 172

• 120

• 86

• 34

What is the first step in using partial products to multiply 77 by 19?

• Estimate the product.

• Break the numbers into tens and ones.

• Add the partial products.

• Draw a rectangle.