# Lesson 10 Using Algorithms with Partial Products: 2 Two-digit Numbers

• Let’s try to multiply two-digit numbers with an algorithm that uses partial products.

## Warm-up Number Talk: Products

Find the value of each expression mentally.

## Activity 1 Partial Products, Recorded

Tyler used an algorithm to find the value of .

1. How do you think he arrived at the last five numbers? Record your thinking. Be prepared to share it with a partner.

2. Use Tyler’s method to find the value of . Then, draw a diagram to check your answer.

## Problem 1

Decide with your partner who will find each product. Show your reasoning.

## Problem 2

Here is Han’s computation of .

1. What error or errors did Han make?

2. Show the correct computation for finding the value of .

## Problem 1

Here is an incomplete calculation that uses partial products of .

1. Write multiplication expressions that the numbers 15, 180, 200, and 2,400 each represent. Then, find the value of .

2. Find the value of the product .