Standard Form Calculator

Standard Form Calculator helps to represent numbers using scientific notations. A standard form is a form of writing a given mathematical concept like an equation, number, or an expression in a form that follows certain rules. 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 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 × 10ⁿ

Solved Examples on Standard Form Calculator

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 × 10⁵.

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

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• Standard Form
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