What scientific notation means
Scientific notation writes a number as a coefficient multiplied by a power of ten. The general form is a × 10ⁿ, where the coefficient is usually at least 1 and less than 10 in absolute value. For example, 4,500 can be written as 4.5 × 10³, while 0.00072 is 7.2 × 10⁻⁴.
Why it is useful
It makes orders of magnitude easier to compare and reduces long strings of zeros in science, engineering, and statistics. The exponent tells you how many places the decimal point shifts.
Reading calculator output
Some calculators display scientific notation with E notation, such as 3.2E5 for 3.2 × 10⁵. The E means “times ten to the power of”; it is not Euler’s number e. Always check whether the display uses E notation or a formatted exponent.
Entering powers of ten
In this starter calculator, you can enter a number such as 3.2*10^5. Parentheses help keep the coefficient and exponent clear. Use parentheses for negative exponents, for example 7.2*10^(-4).
Common mistakes
- Confusing a negative exponent with a negative number.
- Dropping parentheses around a compound exponent.
- Reading E notation as a multiplication by Euler’s constant.
Related resources
Use the online calculator to practice, and explore function graphing or degrees versus radians.