How do you write numbers in scientific notation?

Answer 1

Scientific notation is normally used for numbers that are either far to large or far to small to be written conveniently in decimal notation.A,B

For example the Earth's mass is approximately: 5,973,600,000,000,000,000,000,000.0 kg

In scientific notation this would be written as:

5.9736 x 1024 kg.

In normalised scientific notation numbers are written in the form:A,B

a x 10n

Where:

a is a number between 1 and 10

n is a positive or negative whole number.
In normalized scientific notation all numbers are written in the form a x 10^b (a times ten raised to the power of b) where a is a nonzero single-digit integer and b is an integer.

953 in scientific notation is 9.53 x 10^2

Answer 2

Scientific notation is a way of representing numbers, usually very large or very small, in the form a*10^b where 1 ≤ |a| < 10 is a decimal number and b is an integer (negative or positive). a is called the mantissa and b is called the exponent. To convert a number to scientific notation:

• If the number has no decimal point, then add one at the end.
  
• Then move the decimal point to just after the first digit while counting the number of places you have moved it.
  
• The new number, formed after moving the decimal point is a.
  
• If the original number is negative, then so is a.
  
• The number of places to the left that the decimal point was moved is b. If it was moved to the right, then b is negative.
  

For example: 23045.06 becomes 2.304506*10^4 -23045.06 becomes -2.304506*10^4 0.00023004 becomes 2.3004*10^-4

Answer 3

6,403,228,000