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Educational Guides

Educational Guides

Practice scientific notation, fraction conversions, and powers of ten with a result that updates as you type.

The explanation updates as you type.

Result

6.022 × 10^23

Steps

  1. 1

    Find the exponent

    Move the decimal point until one non-zero digit remains on the left. That takes 23 places to the left.

  2. 2

    Read the coefficient

    The coefficient is 6.022. It is at least 1 and less than 10.

  3. 3

    Write the notation

    6.0220000e+23 = 6.022 × 10^23.

How It Works

Choose a guide and type a value. The explanation is rebuilt from that value, so the same steps you see are the steps for your example.

Formula & Logic Explanation

Scientific notation: n = m × 10^e, with 1 ≤ |m| < 10.

A fraction a/b becomes the decimal a ÷ b and the percent (a × 100) ÷ b.

A power of ten, 10^e, moves the decimal point e places.

Step-by-Step Examples

6.022e23 is already 6.022 × 10^23.

3/4 = 0.75 = 75%.

10^2 = 100 and 10^3 = 1000.

Frequently Asked Questions

Scientific notation writes a number as a coefficient times a power of ten. The coefficient is at least 1 and less than 10. 6.022 × 10^23 is the scientific notation for Avogadro’s number.

Choose Fraction to percent and enter a fraction such as 3/4. The guide divides the numerator by the denominator and multiplies by 100.

The scientific calculator, unit converter, and fraction converter each have their own page when you want the complete tool.