How do you use scientific notation to express the number 355000 to one significant figure?

1 Answer
Dec 29, 2016

Answer:

The answer is #4xx10^5#.

Explanation:

Numbers written in scientific notation have a coefficient which begins with a single non-zero digit, 1-9 inclusive. That number is then multiplied by the base 10 raised to a power (exponent). If the decimal was moved to the right, the exponent will be negative, such as #0.03=3xx10^(-2)#. If the decimal was moved to the left, the exponent will be positive, such as #400=4xx10^2#.

The exponent indicates how to expand the number to standard notation. If it is positive, move the decimal to the right the same number of places, such as #4xx10^2=400#. If it is negative, move the decimal to the left the same number of places, such as #3xx10^(-2)=0.03#.

Round #355000# to one significant figure by rounding to #400000#. To use scientific number to express this number, move the decimal point to the left 5 places, and write the number as #4xx10^5#.

The following website may be helpful. https://www.nyu.edu/pages/mathmol/textbook/scinot.html