Standard form is the usual way of writing numbers using digits. Expanded form shows the value of each digit based on its place value.
Every digit in a number has a value that depends on its position, or place, in the number.
To write a number in expanded form, break it apart by place value. Then, show each part as the digit multiplied by its place value.
Expanded form helps you see how each digit adds to the number’s total value.
Expanded form can also be used with decimals. Each digit to the right of the decimal point shows a part of a whole.
Remember, the first place to the right of the decimal is tenths, the next is hundredths, then thousandths.
Understanding both forms helps you read, write, and compare numbers correctly. It shows how numbers are built from place values.
When you understand place value, you can solve problems involving addition, subtraction, multiplication, and division more easily.
Use both standard and expanded forms when explaining your thinking in math problems.
When writing math explanations, be clear and use full sentences to describe each part of the number.