How do you find the product of 78 x 34 using partial products ? What is a partial product?

In this lesson you will learn how to multiply multi-digit numbers by using partial products.

Let’s Review Product – The result when two numbers are multiplied. For Example: 4 x 5 = 20 product

Multiplication is repeated addition x 5 Multiplication is faster!

Multiplying by powers of x 10 = x 100 = 3, x 1,000 = 36,000

A Common Mistake Multiplying each digit as if it represents a number of “ones.” It is important to remember the place value of each digit. 36 x 5 = 30 x x 5

Let’s Review Core Lesson Multiply 78 x 34 using partial products x 30 = 2, x 4 = x 30 = x 4 = ,652 Partial products

Let’s Review Core Lesson Multiply 162 x 84 using partial products x 80 = 8, x 4 = x 80 = x 4 = x 80 = x 4 = ,608

In this lesson you have learned how to multiply multi-digit numbers by using partial products.

Let’s Review Guided Practice Multiply 225 x 12 using partial products.

Let’s Review Extension Activities Use place value to decompose the following numbers. For example: 145 = ) ) ). 504

Let’s Review Extension Activities In your math journal, explain the definition of a partial product and how we can use partial products to multiply.

Let’s Review Quick Quiz Which of the following shows the partial products of 32 x 41? 1). 30 x x x x 1 2). 3 x x x x 1 3). 32 x x x 1 4). 30 x x 1

Let’s Review Quick Quiz Multiply 294 x 57 using partial products.