Place value is the value of a digit depending on its position in a number. In our base-ten number system, each digit's place value is ten times the place value of the digit to its right. Understanding place value is important for understanding and working with large numbers.

In a number such as 325, each digit has a specific place value:

- The digit 5 is in the ones place, so its value is 5.
- The digit 2 is in the tens place, so its value is 20 (10 times 2).
- The digit 3 is in the hundreds place, so its value is 300 (10 times 10 times 3).

A place value chart is a helpful tool for understanding the value of each digit in a number. It can be organized as follows:

Thousands | Hundreds | Tens | Ones |
---|---|---|---|

3 | 2 | 5 |

Using this chart, you can see the place value of each digit in a number.

Now, let's try some practice questions to test your understanding of place value:

- What is the place value of the digit 7 in the number 873?
- Write the number 456 in expanded form.
- What is the value of the digit 9 in the number 9,327?

- The place value of the digit 7 in the number 873 is 70.
- The number 456 in expanded form is 400 + 50 + 6.
- The value of the digit 9 in the number 9,327 is 9,000.

Now that you understand place value, you can practice more with larger numbers and decimals to strengthen your understanding.

Study GuideRegrouping Worksheet/Answer key

Regrouping Worksheet/Answer key

Regrouping Worksheet/Answer key

Regrouping

Number and Operations (NCTM)

Compute fluently and make reasonable estimates.

Develop fluency in adding, subtracting, multiplying, and dividing whole numbers.

Select appropriate methods and tools for computing with whole numbers from among mental computation, estimation, calculators, and paper and pencil according to the context and nature of the computation and use the selected method or tools.

Algebra (NCTM)

Use mathematical models to represent and understand quantitative relationships.

Model problem situations with objects and use representations such as graphs, tables, and equations to draw conclusions.

Connections to the Grade 3 Focal Points (NCTM)

Number and Operations: Building on their work in grade 2, students extend their understanding of place value to numbers up to 10,000 in various contexts. Students also apply this understanding to the task of representing numbers in different equivalent forms (e.g., expanded notation). They develop their understanding of numbers by building their facility with mental computation (addition and subtraction in special cases, such as 2,500 + 6,000 and 9,000 - 5,000), by using computational estimation, and by performing paper-and-pencil computations.