Scientific notation and E notation explained
How the mantissa and exponent split works, why the coefficient stays between 1 and 10, and how to read powers of ten in everyday science.
The two parts of every value
Scientific notation splits a number into a mantissa and an exponent. The mantissa, also called the coefficient, carries the significant digits, and the exponent counts how many powers of ten scale it. Writing 93,000,000 miles as 9.3 x 10^7 keeps the meaningful figures up front and hands the size to the power of ten. This separation is what makes distances in astronomy and masses in chemistry readable rather than a wall of zeros.
Why the mantissa stays between 1 and 10
A normalized mantissa always has exactly one nonzero digit before the decimal point, so its absolute value runs from 1 up to just under 10. That rule gives every number a single, unambiguous representation: 0.0045 becomes 4.5 x 10^-3 rather than 45 x 10^-4 or 0.45 x 10^-2. When you enter an unnormalized coefficient here, the calculator moves the decimal point and adjusts the exponent for you until the mantissa fits that window.
Reading positive and negative exponents
A positive exponent means the decimal point moves right, making the number larger, so 10^6 is a million. A negative exponent moves the decimal point left, making the number smaller, so 10^-6 is a millionth. The exponent is simply the count of places the point travels from the normalized mantissa to the plain number. Getting the sign right is the single most common place people slip, which is why the calculator shows the exponent as its own labeled value.
From notebook to keyboard: E notation
Handwritten science uses the x 10^n form, but keyboards and screens rarely have superscripts, so software adopted E notation instead. The forms 4.5 x 10^-4 and 4.5e-4 mean exactly the same thing. Spreadsheets, scientific calculators, and languages like Python and JavaScript all print and accept the e form, which is why this tool always shows both. Copying the E notation output drops straight into a formula or a line of code without reformatting.