🔢 MathGrade 2Lesson 3
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Understand Hundreds, Tens, and Ones

How to use: Download the PDF to print the worksheet. Then use this page to repeat activities and check answers.

Learning Objectives

  • 1Identify the hundreds, tens, and ones digits in a three-digit number
  • 2State the value of each digit in a three-digit number
  • 3Write a three-digit number in expanded form (e.g., 453 = 400 + 50 + 3)
  • 4Explain why zero is needed as a placeholder (e.g., in 306 or 250)
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Mini Lesson

In any number, where a digit sits tells you how much it is worth — that is what we call place value!

The three places in a three-digit number

  • The hundreds place is on the left. A digit there is worth that many hundreds.
  • The tens place is in the middle. A digit there is worth that many tens.
  • The ones place is on the right. A digit there is worth that many ones.

Reading the value of each digit

  • In 453: the 4 is in the hundreds place → value = 400.
  • The 5 is in the tens place → value = 50.
  • The 3 is in the ones place → value = 3.
  • So 453 = 400 + 50 + 3. This is called expanded form.

Zero as a placeholder

  • If a place has no value, we write a 0 to hold its spot.
  • Example: 306 has 3 hundreds, 0 tens, and 6 ones.
  • Without the 0, the number would look completely different!
Place value chart for 453A three-column place value chart. Hundreds column contains 4, value 400. Tens column contains 5, value 50. Ones column contains 3, value 3. Below: 400 plus 50 plus 3 equals 453.Place Value — 453HundredsTensOnes453= 400= 50= 3400 + 50 + 3 = 453This is called expanded form!
A place value chart showing 453 split into hundreds (4 = 400), tens (5 = 50), and ones (3 = 3), giving 400 + 50 + 3.
Zero as a placeholder in 306Place value chart for 306. Hundreds column: 3, value 300. Tens column: 0, value 0 — labeled placeholder. Ones column: 6, value 6. Expanded form: 300 plus 0 plus 6 equals 306.Zero Placeholder — 306HundredsTensOnes306= 300placeholder= 0= 6300 + 0 + 6 = 306The 0 holds the tens place!
A place value chart for 306 showing 3 hundreds (300), 0 tens (placeholder), and 6 ones (6), giving 300 + 0 + 6.
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Ask yourself: "Which place is this digit in? What is its value?"

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Guided Practice

Choose 3 items from the Trace menu and copy them neatly on paper. Then use the Tracing Pad to practice numbers and math marks.

Tracing Pad

Tip: Cover the number and try to write the expanded form from memory — then check!

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Exercises

Read each question. Tap the correct answer, then check.

In the number 374, what is the value of the digit 3?

In the number 582, what is the value of the digit 8?

In the number 619, what is the value of the digit 9?

Which expanded form matches 724?

The number 405 has a zero. Which place does the zero hold?

Which number equals 600 + 30 + 7?

1. In the number 563, which digit is in the hundreds place?

2. What is the tens digit in 782?

3. What is the value of the digit 4 in the number 491?

4. Which is the correct expanded form of 347?

5. What does the zero in 250 mean?

6. What number equals 500 + 60 + 2?

7. Why is the zero important in the number 803?

8. What is the value of the digit 6 in 164?

9. Which digit is in the ones place in 938?

10. The numbers 423 and 342 use the same digits. Why do they have different values?

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Assessment

Parent / Teacher Checklist

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