Scientific Notation Calculator
Here we discuss list of online math calculators that help us for doing calculation easily.
Convert a number to and from scientific notation, e notation, engineering notation and real numbers. Enter a number or a decimal number or scientific notation and the calculator converts to scientific notation, e notation and engineering notation formats.
To enter a number in scientific notation use a carat ^ to indicate the powers of 10. You can also enter numbers in e notation. Examples: 3.45 x 10^5 or 3.45e5.
Scientific notation calculations
For 2 number x1 and x2:
x1 = a1 × 10b1
x2 = a2 × 10b2
Scientific notations addition
x1 + x2 = a1 × 10b1 + a2 × 10b2
Scientific notations subtraction
x1 - x2 = a1 × 10b1 - a2 × 10b2
Scientific notations multiplication
x1 × x2 = a1a2 × 10b1+b2
Scientific notations division
x1 / x2 = (a1/a2) × 10b1-b2
What is Scientific Notation?
Scientific notation is generally used with very large or very small numbers in applications such as physics, engineering and chemistry. It condenses the numbers into the form into a number multiplied by 10 raised to an exponent, denoted as a * 10ⁿ.
How to Convert a Number to Scientific Notation
The proper format for scientific notation is a x 10^b where a is a number or decimal number such that the absolute value of a is greater than or equal to one and less than ten or, 1 ≤ |a| < 10. b is the power of 10 required so that the scientific notation is mathematically equivalent to the original number.
1. Move the decimal point in your number until there is only one non-zero digit to the left of the decimal point. The resulting decimal number is a.
2. Count how many places you moved the decimal point. This number is b.
3. If you moved the decimal to the left b is positive.
If you moved the decimal to the right b is negative.
If you did not need to move the decimal b = 0.
4. Write your scientific notation number as a x 10^b and read it as "a times 10 to the power of b."
5. Remove trailing 0's only if they were originally to the left of the decimal point.
Scientific Notation Rules
When converting a number into scientific notation, we must remember a few rules. First, the decimal must be between the first two non-zero numbers. The number prior to the multiplication symbol is known as the significant or mantissa. The numbers of digits in the significant depends on the application and are known as significant figures. The significant figures calculator can assist in this situation. The value of the exponent depends on whether or not the decimal place is moved to the right or left to return to the original number.