Question

how do you write decimals in exponential form

example .125

Answer 1

IM really sorry imnot sure i was just wandering around and i ran into your question wicth i didint mean to do

Answer 2

wait 1 minute ill answer that question 1 min

Answer 3

5 to the 3rd power is written as 5 with superscript 3.

e notation is for multiplication by powers of 10. So 4 times 10 to the 6'th power (4 million) is 4e6 in e notation.

Answer 4

How to write 8 365 005 106 in expanded and exponential form? May I request you also to explane how does it solve.

Thank you.


Hi Kent.

"Exponential form" simply means a numeric form involving exponents.

One way to write such a number is by recognizing that each position represents a power (exponent) of 10. So you can first break it up into separate pieces.

I will use my own number 5 625 702:
5 625 702 = 5 000 000 + 600 000 + 20 000 + 5 000 + 700 + 2

Each of these is a multiple of the number with a 1 in front:
5 625 702
= 5 x 1 000 000 + 6 x 100 000 + 2 x 10 000 + 5 x 1 000 + 7 x 100 + 2

and each of these is a power of ten, so you can write the exponent which
is the same as the number of zeros:

5 625 702 = 5 x 106 + 6 x 105 + 2 x 104 + 5 x 103 + 7 x 102 + 2 x 100

That last one may not really be necessary. 10^0 is equal to 1, so really we are just saying 2 x 1.

That is one expanded exponential form.

Another way to represent a number using exponents is to write it as a product of prime numbers. Any positive integer above 1 is the product of a unique set of prime numbers.

I know that the number 26 460 is 2 x 2 x 3 x 3 x 3 x 5 x 7 x 7.

So written using exponential form as a product of primes, I write

26460 = 22 x 33 x 5 x 72

The exponents reflect how many times that prime number appears as a factor.

There is also an exponential form called "scientific notation" which is used extensively in science. That is simply a matter of counting how many digits you need to move the decimal place in order to have a number between 1 and 9.999...

So for 5 625 702, I would move the decimal place to 5.625 702, which is 6 places leftwards from where it was. Thus, I say that

5 625 702 in scientific notation is writting 5.625 702 x 106.

I hope this gives you a good idea of how to write things in exponential

Answer 5

copied from: http://mathcentral.uregina.ca/QQ/database/QQ.09.07/h/kent1.html

Answer 6

Dude give me a medal