# Lesson 16 Round Numbers

Let’s round some large numbers.

## Warm-up Number Talk: Missing Numbers

Find the value that makes each equation true mentally.

## Activity 1 Round to What?

Noah says that 489,231 can be rounded to 500,000.

Priya says that it can be rounded to 490,000.

Explain or show why both Noah and Priya are correct. Use a number line if it helps.

Describe all the numbers that round to 500,000 when rounded to the nearest hundred-thousand.

Describe all the numbers that round to 490,000 when rounded to the nearest ten-thousand.

Name two other numbers that can also be rounded to both 500,000 and 490,000.

## Activity 2 Some Numbers to Round

Your teacher will show you six numbers. Choose at least three numbers and round each to the nearest 100,000, 10,000, 1,000, and 100.

Record your work in the table. Use a number line if it is helpful.

round to the nearest … | 100,000 | 10,000 | 1,000 | 100 |
---|---|---|---|---|

## Activity 3 Rounded Populations

## Problem 1

The table shows the estimated populations of two cities in the United States, based on surveys in 2018.

city | population | rounded to the nearest 1,000,000 | rounded to the nearest 100,000 | rounded to the nearest 10,000 |
---|---|---|---|---|

Austin, TX | ||||

Lincoln, NE | ||||

Here are three other cities and their estimated populations:

Charlotte, NC: 872,498

Jacksonville, FL: 903,889

Virginia Beach, VA: 450,189

Match the populations of Charlotte, Jacksonville, and Virginia Beach to the rounded numbers in the table. Then, complete the table.

## Problem 2

The table shows three ways of rounding large numbers.

To get a rough idea of how many people are in these cities, which ways of rounding seem appropriate?

To compare the populations or put them in order by size, which ways of rounding are more helpful? Less helpful?

## Practice Problem

## Problem 1

Describe the numbers that are 460,000 when rounded to the nearest 10,000.

Where are these numbers located on the number line?