Explains what each digit in a number is worth, how to write numbers in expanded form, and how to compare, order and round four-digit numbers. A plain-language guide parents can read alongside their child before tackling place value worksheets.
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Curriculum: Texas grade levels (TEKS). We show specific outcome codes only where they have been verified against the official curriculum document.
Completed: Place Value Explained
3rd Grade students (typically ages 8–9) working on place value. It is pitched at level 1 · easier.
This is a study guide, so there is no separate answer sheet; the 'Check yourself' questions include answers.
About 15 minutes. Short, regular sessions work best: two or three a week beats one long one.
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Try 3rd Grade Comparing Numbers (<, > and =) Worksheet — Getting Started.
Success TutoringWorksheets3rd Grade · Mathematics · Place ValueEvery digit in a number has a place, and the place tells you what the digit is worth. In the number 3475, the 3 is not worth three — it is worth three thousand, because it sits in the thousands place. Reading from the right, the places are ones, tens, hundreds and thousands. Each place is worth ten times the place to its right.
| Thousands | Hundreds | Tens | Ones |
|---|---|---|---|
| 3 | 4 | 7 | 5 |
Expanded form
The value of a digit
Comparing and ordering. To compare two numbers with the same number of digits, start at the left and compare one place at a time. The first place where the digits are different tells you which number is bigger. If one number has more digits than the other, it is bigger.
Which is larger: 5241 or 5198?
Rounding gives a number that is close to the real one but easier to work with. To round to the nearest 10, look at the ones digit: 5 or more rounds up, 4 or less rounds down. To round to the nearest 100, look at the tens digit in the same way.
Round 368 to the nearest 10 and the nearest 100
Answers: 1. 700 2. 6000 + 90 + 3 3. 3891 4. 2700 5. 5302 6. 5005
Preview — the PDF contains the full resource.
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