Place Value to 1000

Grade 2 · Math · Study Guide

Learn how the place of a digit in a number tells you its value, up to the thousands place.

Every number is made up of digits, and where a digit sits in a number tells you exactly how much it is worth. This is called place value!

In a three-digit number, the digits have three places: ones, tens, and hundreds. The digit on the far right is in the ones place. The digit in the middle is in the tens place, and the digit on the left is in the hundreds place. For example, in the number 342, the 3 means 3 hundreds (300), the 4 means 4 tens (40), and the 2 means 2 ones (2). Add them together: 300 + 40 + 2 = 342.

We can also write numbers in expanded form to show what each digit is worth. The number 587 in expanded form is 500 + 80 + 7. This helps us see the value of each digit clearly.

Numbers go all the way up to 999 in three digits. When you add one more to 999, you get 1,000, which has four digits. Understanding place value helps you compare, add, and subtract numbers like a math superstar!

Key terms

Place Value
The value of a digit based on where it sits in a number.
Ones Place
The rightmost digit in a number, worth 1 each.
Tens Place
The second digit from the right, worth 10 each.
Hundreds Place
The third digit from the right, worth 100 each.
Expanded Form
Writing a number by showing the value of each digit (e.g., 400 + 30 + 2).

Flashcards

Ones Place
The far right spot in a number. The digit there tells how many ones there are.
Tens Place
The middle spot in a 3-digit number. Each unit here is worth 10.
Hundreds Place
The leftmost spot in a 3-digit number. Each unit here is worth 100.
Expanded Form
Breaking a number apart to show each digit's value, like 300 + 20 + 5.
Standard Form
Writing a number the usual way with digits, like 325.
Value of a Digit
How much a digit is worth based on its place in the number.
Compare Numbers
Deciding which number is greater or less by looking at place values from left to right.

Questions

  1. In the number 473, what digit is in the tens place?

    1. 4
    2. 7
    3. 3
    4. 0
    Show answer

    Answer: 7

    In 473, counting from the right: 3 is in the ones place, 7 is in the tens place, and 4 is in the hundreds place. So 7 is in the tens place.

  2. In the number 256, the digit 2 stands for 200.

    Show answer

    Answer: True

    The 2 is in the hundreds place in 256, so it stands for 2 hundreds, which equals 200.

  3. What is 600 + 50 + 8 written as a number?

    1. 658
    2. 685
    3. 568
    4. 865
    Show answer

    Answer: 658

    600 + 50 + 8 = 658. The 6 is in the hundreds place, 5 in the tens, and 8 in the ones.

  4. In the number 391, the digit 3 is in the ___ place.

    Show answer

    Answer: hundreds

    In 391, the 3 is the leftmost digit, which puts it in the hundreds place.

  5. Which number has a 9 in the hundreds place?

    1. 219
    2. 192
    3. 912
    4. 129
    Show answer

    Answer: 912

    In 912, the 9 is the leftmost digit, placing it in the hundreds place. In the other numbers, 9 is in the ones or tens place.

Get a personalized course on Place Value to 1000 built around your child.