# Lesson 7 Multiply Three- and Four-digit Numbers by One-digit Numbers

• Let’s multiply three- and four-digit numbers by one-digit numbers.

## Warm-up Estimation Exploration: Mysterious Area

What is the area of the rectangle?

Record an estimate that is:

too low

too high

## Problem 1

Clare drew this diagram.

1. What multiplication expression can be represented by the diagram?

2. Find the value of the expression. Show your reasoning.

## Problem 2

Consider the expression .

1. Draw a diagram to represent the expression.

2. Find the value of the expression. Show your reasoning.

## Problem 3

Lin drew a diagram to represent .

1. Complete Lin’s diagram.

2. Write an expression to represent the value of each part of the diagram.

3. Find the value of . Show your reasoning.

## Problem 1

Jada used a diagram to multiply and made a few errors.

2. Find the value of . Show your reasoning.

## Problem 2

1. Find the value of . Show your reasoning.

2. Find the value of . Show your reasoning.

## Problem 1

1. Use the diagram to find the value of .

2. Find the value of .