How do you write 0.000559 in scientific notation?

2 Answers
May 16, 2018

Answer:

#5.59*10^-4#

Explanation:

You just move your decimal. Then, count how far you've placed it.
Remeber that if you are moving to the #-># right it is simply in #*10^-10# But, when moving to the #larr# left it is #*10^10#

Just note that if the power of 10 is (-) negative, it is a small quantity. However, if the power is (+) positive, of course, it is a large quantity.

May 16, 2018

Answer:

#5.59 xx 10^-4#

Explanation:

Scientific notation is a way of writing very big or very small numbers quickly and accurately without having to use a string of zeros.

It indicates how many times a number has been multiplied or divided by #10#

It is written in the form #a xx 10^n# where #1 <= a < 10 and n in Z#

This means that the number must have one (non-zero) digit before the decimal point (it is between #1 and 10# ) and the index must be an integer.

Move the decimal point so there is one digit to the left of it.
Count the number of places it moved,

#0color(blue)(.0005)59 rarr 5.59 xx 10^color(blue)(-4)#

You can also find this using fractions:

#0.000559 = 5.59/10000 =5.59/10^4#

Using a law of indices this gives #5.59 xx 10^-4#