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Scientific Notation

Scientific notation is the expression of a number based on the largest exponent of 10 for its value, where the form is a decimal number A x 10n.

6,389 Questions

What does the values that are writtern correctly in scientific notation show?

It shows the value of the number. The order of magnitude is readily seen.

What does expressing a number in scientific notation do?

Usually makes it easier to read and reduces the risk of error.

For example, consider the following:

  • The average distance from the earth to the sum is 149.6 million kilometres.
  • In space light travels at 300,000 km per second.

Given that Time = Distance/Speed, how long does light take to get from the sun to the earth?

You could try 149600000/300000 and hopefully not get into a tangle with the 0s.

Or you could go for

Distance = 149.6 million = 149.6*106 = 1.496*108 km

Speed = 300000 = 3*105 km s-1.

So time = 1.496*108 / 3*105 seconds = 1.496/3 * 103 = 4.99*102 seconds or 499 seconds.

How do you get from scientific notation to standard notation?

Standard notation is like this

lets say

6,920,348

Scientific notation typically includes rounding

You go to the first number (6) and put a dot after it

then, you count how many numbers there are to the end of the number

so it would be

6.9x10^6 or 6.9e6

For the other way around (lets say 6.3x10^5)

Just move the decimal place five spots to the right

630,000 What this person is trying to tell you, is that 63000 standard notation, is written as 6.3 times 10 to the power of 5 if using Scientific and Engineering notation. I cannot type 'powers' on my computer keyboard, and I guess that the previous person had the same problem , so he typed 6.3 x 10^5 I find it most annoying that computer keyboards never include mathematical symbols such as Divide, Degrees , Powers, and Square Root symbols.

What is the first factor of scientific notation?

It is called the mantissa, and is a number whose absolute value is in the range [1, 10).