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Standard form calculator

Convert to and from standard form, and add, subtract, multiply and divide with full step-by-step working. Examples with the same power of 10 and different powers of 10. Free, no sign-up. More: Factorise quadratics · Nth term finder · Area & perimeter

Standard form (also called scientific notation) is a way to write very large or very small numbers as A × 10n, where 1 ≤ A < 10 and n is an integer. Use the calculator below to convert numbers to or from standard form, or to add, subtract, multiply or divide. Each result shows every step of the process. Scroll down for worked examples: converting to and from standard form, and addition/subtraction with the same and different powers of 10.

You may also see numbers written in calculator notation (e.g. 5.6e-3); this is an alternative that you may come across, but it is not generally used in the UK.

Choose an operation

Enter an ordinary number (e.g. 34000 or 0.0056) to convert it to standard form.

Enter a number in standard form (e.g. 3.4×10⁴) to convert to ordinary form.

Enter two numbers in standard form (e.g. 2×10³ and 3×10⁴). Same or different powers of 10 both work.

+

Enter two numbers in standard form. We'll show subtraction with steps.

Enter two numbers in standard form to multiply them.

×

Enter two numbers in standard form to divide the first by the second.

÷

Worked examples

These examples show every step: converting to and from standard form, and addition/subtraction with the same and different powers of 10.

Converting to standard form

Example: Write 34 600 in standard form.

    Converting from standard form

    Example: Write 5.2 × 106 as an ordinary number.

      Addition — same power of 10

      Example: 2 × 104 + 3 × 104

        Addition — different powers of 10

        Example: 2 × 103 + 3 × 104

          Subtraction — same power of 10

          Example: 7 × 105 − 2 × 105

            Subtraction — different powers of 10

            Example: 3 × 104 − 2 × 103

              Multiplication

              Example: (2 × 103) × (4 × 105)

                Division

                Example: (8 × 107) ÷ (2 × 102)