Mahalo math expert Allison Moffett teaches you how to rewrite a number in expanded forms with exponents. Expanded form represents a number expanded into an addition statement. Rewriting a number in its expanded form with exponents helps you to better understand scientific notation.
What’s the difference between expanded and expanded notation?
Writing a number in expanded notation is not the same as writing in expanded form. In expanded notation, a number is represented as the summation of each digit multiplied by its place value, whereas in expanded form, addition is only used between place value numbers.
How to write 5, 325 in expanded form?
You can write numbers using expanded form in multiple ways. Write 5,325 in Expanded Number Form. Standard Form: 5,325 Expanded Form: 5,000 + 300 + 20 + 5 = 5,325 Expanded Factors Form: Expanded Exponential Form: (5 × 10 3) + (3 × 10 2) + (2 × 10 1) + (5 × 10 0) = 5,325 Word Form: five thousand, three hundred twenty-five
What are the expanded forms of a number?
Expanded forms can be written like a sentence or stacked for readability as they are here. Paste this link in email, text or social media. Expanded form calculator shows expanded forms of a number including expanded notation form, expanded factor form, expanded exponential form and word form.
How to express a number in exponential form?
To express a number written in exponential form in expanded form, the base number A is multiplied by itself the number of times shown by the power. For example, if a number is given in exponent form as A^6, then this is expressed in expanded form as A x A x A x A x A x A.
Which is the standard form of an exponent?
The standard form of an exponent is how people see numbers normally. For example, five to the sixth power is in exponent form, and the standard form of this exponent is 15,625. Exponents also come in an expanded form. In the example of five to the sixth power, the five is the base number.
