Standard form refers to the regular way you write out a number, such as 4,300, as opposed to scientific notation, which is 4.3 x 10^3, or in expanded form, such as 4,000 + 300. You can convert numbers large and small to standard form in a few steps.

## Standard Form With Large Numbers

To convert a number from scientific notation to standard form, consider 1.5625 x 10^4. First, focus on the exponential number, which is 10^4. Multiply the base number, which is 10, by itself the number of times indicated by the exponent, which is four. You would do that like this:

10 x 10 x 10 x 10 = 10, 000

Plug the product -- which is 10,000 -- into the original equation to get this:

1.5625 x 10,000 = 15, 625

Therefore, the standard form of this number is 15,625.

For a number in expanded form, convert the number, using basic addition. For example, consider the expanded number 10,000 + 2000 + 100 + 10 + 9. Add up these numbers to get the standard form. Your equation would look like this:

10,000 + 2,000 + 100 + 10 + 9 = 12,119

Therefore, the standard form of the number is 12,119.

## Standard Form With Small Numbers

Small numbers, such as those less than one, can also be converted to standard form. For example, consider the scientific notation 5 x 10^-2. Start with 10^-2, and note that the exponent is negative, which in this case, is negative two. This indicates that the number will be a decimal, with the decimal point moving twice to the left of the base number, which in this case, is 10. This would give you 0.01. Your equation will look like this:

10^2-1 = 0.01

Plug in this value, which, in this case is 0.01, into your original equation to get this:

5 x 0.01 = 0.05

Therefore, the standard form of this number is 0.05.

Convert small numbers presented in expanded form, such as 0.0003 + 0.001 + 0.02 by adding like this:

0.0003 + 0.001 + 0.02 = 0.0213

Therefore, 0.0213 is the standard form of this number.