# Puzzle using place value of numbers in the millions (Investigation)

Lesson

Here are a list of national parks from around the world, and the number of acres they cover.

National Park Size (in Acres)

Danali

4 716 726

Gates of the Arctic

7 523 888

Katmai

3 716 000

Kobuk Valley

1 750 421

Lake Clark

2 636 839

Glacier bay

3 225 284

## The Puzzle

From the following clues, can you identify the park (or parks) with the area described?

• The digit in the ten thousands place is less than the digit in the hundred thousands place.
• The thousands place digit is larger than the digit in the millions place.
• The digit in the ones place is at least twice as large as the digit in the tens place.

## Extensions

1. Write another clue that would produce only one park as the answer.
2. Choose a park from the table.  Write a set of clues to identify your park.  Describe your clues to a partner and see if they can guess the park you chose.

Problem Adapted from an example in Open Ended Questions for Mathematics published by Appalachian Rural Systemic Initiative in 2000.