# Place value

7 videos

2 skills

You've been counting for a while now. It's second nature to go from "9" to "10" or "99" to "100", but what are you really doing when you add another digit? How do we represent so many numbers (really as many as we want) with only 10 number symbols (0, 1, 2, 3, 4, 5, 6, 7, 8, 9)?
In this tutorial you'll learn about place value. This is key to better understanding what you're really doing when you count, carry, regroup, multiply and divide with mult-digit numbers. If you really think about it, it might change your worldview forever!

### Finding a number's place value

VIDEO
2:25 minutes

When finding the place value of a particular number, it helps to write out exactly what the number means. Listen as we explain in this video.

### Writing a number in standard form

VIDEO
4:09 minutes

Here's a BIG number that needs to be expressed in standard form. Can you do this example with us? I bet you can!

### Writing a number in expanded form

VIDEO
5:20 minutes

What is the "expanded" form of a number? Take a big number and break it down to its ones, tens, hundreds, and other place values and you have expanded form. Not sure what we mean? No worries. We'll explain.

### Place value introduction

PRACTICE PROBLEMS

Practice thinking about the value of each digit in a number.

### Representing numbers

VIDEO
2:14 minutes

### Comparing place values

VIDEO
2:30 minutes

When asked to compare the place values in a number, remember this simple fact: each step up in place value results in an increase of a factor of ten. Watch this great explanation and become a pro.

### Understanding place value 1 exercise

VIDEO
3:29 minutes

Here we have a few example exercises in which we are asked to compare place values and determine which are larger or smaller, and by what factor of ten. Let's do it together.

### Understanding place value when multiplying and dividing by 10

PRACTICE PROBLEMS

Recognize that in a multi-digit whole number, a digit in one place represents ten times what it represents in the place to its right.

### Place value relationships example

VIDEO
2:40 minutes