If you're seeing this message, it means we're having trouble loading external resources on our website.

If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked.

Lesson 1: Intro to place value

# Place value: FAQ

## What is place value?

Place value refers to the value that each digit in a number has, based on its position. For example, in the number $523$, the $5$ is in the hundreds place, the $2$ is in the tens place, and the $3$ is in the ones place.
Here are a couple of the exercises that build off of place value:

## What are the different ways we can write numbers?

We can write numbers in standard form, expanded form, or written form. Expanded form breaks a number down to show the value of each digit. For example, $724$ can be written in expanded form as $700+20+4$. Written form uses words to write out a number. For example, $724$ can be written in written form as "seven hundred twenty-four." Standard form is the way we usually write numbers, using just the digits. For example, $724$ is in standard form.
Here are a couple of the exercises that build off of writing numbers in different forms:

## Why is $10$‍  important in place value?

$10$ is important in place value because our number system is based on the number $10$. This means that when we count past $9$ in one place value column, we regroup to the next place value (in this case, the tens place).
Here are a couple of the exercises that build off of using $10$ in place value:

## How do I compare multi-digit numbers?

To compare multi-digit numbers, we start by looking at the largest digit, or the leftmost digit. If one number has a larger digit in that place, we know that number is larger. If the digits are the same, we move to the next digit to the right and continue comparing until we find a difference.