# 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

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

Use Tyler’s method to find the value of

. Then, draw a diagram to check your answer.

## Activity 2 Han’s Multiplication Mishap

## Problem 1

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

## Problem 2

Here is Han’s computation of

What error or errors did Han make?

Show the correct computation for finding the value of

.

## Practice Problem

## Problem 1

Here is an incomplete calculation that uses partial products of

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

. Find the value of the product

.