Understanding the value of each digit within a number is important to understanding the value of the whole number and how it compares to other numbers. Every grade level begins the year discussing place value and how we can represent numbers in multiple ways:

• Place Value Chart: As pictured above, a chart that clearly shows how a number is composed of multiple places. We can use standard numbers, or base ten blocks, or other manipulatives with a place value chart.

• Standard Form: 14,389

  • • This form shows the regular numeric representation of a number

• Expanded Form: 10,000 + 4,000 + 300 + 80 + 9

  • • This form shows the values contained within a number

• Word Form: fourteen thousand, three hundred eighty-nine

  • • This form shows how we write and say numbers correctly

    • Note: We do not use the word "and" in whole number word form (e.g., One hundred and forty-two). In American English, "and" is used only to indicate a decimal point (e.g. One hundred forty-two and five tenths).

We can use place value charts to help us see how arithmetic operations affect numbers (especially with regrouping from one place to an adjacent place):