# Standard Form Calculator

Standard Form Calculator helps to represent numbers using scientific notations. To represent a number using the standard form, decimals and powers of 10 are used.

## What is a Standard Form Calculator?

Standard Form Calculator is an online tool that helps in expressing a given number in its standard form. The standard form is used to represent very large or very small numbers that would be quite difficult to write otherwise. To use the * standard form calculator*, enter the number in the given input box.

### Standard Form Calculator

## How to Use Standard Form Calculator?

Please follow the steps given below to find the standard form of a number using the standard form calculator:

**Step 1:**Go to Cuemath's online standard form calculator.**Step 2:**Enter the number in the given input box.**Step 3:**Click on the**"Convert"**button to find the standard form.**Step 4:**Click on the**"Reset"**button to clear the field and enter new values.

## How Does Standard Form Calculator Work?

Performing computations on very large or very small numbers becomes a very tedious and laborious task. Thus, we represent such numbers using the standard form to improve readability and to make calculations easier. The steps given below are followed when a number is represented using the standard form.

**Step 1:**The decimal point must be shifted till there is only one non-zero digit in the number. This is represented by c.**Step 2:**The number of places that the decimal point is moved needs to be counted. This count is denoted by n.**Step 3:**If the number is large then n will be positive as the decimal point was moved to the left.**Step 4:**If the number is small then n will be negative as the decimal point was moved to the right.**Step 5:**Now substitute these values in the formula given below.

The standard form is given by:

c × 10^{n}

## Solved Examples on Standard Form

**Example 1:** Write the number 256000 in its standard form and verify it using the online standard form calculator.

**Solution:**

Shift the decimal point by 5 places to the left.

We get 2.56000. The zeros to the right of the last decimal point can be omitted.

Thus, c = 2.56

n = 5

The number 256000 in standard form will be written as 2.56 × 10^{5}.

**Example 2:** Write the number 0.000256 in its standard form and verify it using the online standard form calculator.

**Solution:**

Shift the decimal point by 4 places to the right.

We get 2.56.

Thus, c = 2.56

n = -4

The number 256000 in standard form will be written as 2.56 × 10^{-4}.

Now try the standard form calculator to represent the given numbers in standard form:

- 0.0004567
- 587693

**☛ Math Calculators:**

visual curriculum