What is the scientific notation of 204,500?

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akannan's profile pic

Ashley Kannan | Middle School Teacher | (Level 3) Distinguished Educator

Posted on

Scientific notation is geared through place value.  There are couple of ways to approach solving this problem.  I have always felt that the easiest thing to do is to make the number a decimal between 0 and 9.  For example, 354 can be written as a decimal between 0 and 9 as 3.54 just as 7,023 can be rewritten as 7.023.  Once you have done this, determine what power of ten the number represents without going over.  For example, 354 is in the realm of 10 to second power (10 raised to the second power is 10 x 10, which equals 100).  7,023 is in the domain of 10 raised to the 3rd power (10 raised to the third power is 10 x 10 x 10, which is 1000.)  Place a multiplication sign in between both the decimal and the power of 10 and you have scientific notation.

In the problem given, 204, 500 in scientific notation represented as 2.045 x 10 to the 5th power.

nisarg's profile pic

nisarg | Student, Grade 11 | (Level 1) Valedictorian

Posted on

Scientific notation only leaves the front of the number in front of the decimal point and however much you move the decimal is how much the ten's exponent is

`2.045*10^5`

``

braycar's profile pic

braycar | Student, Undergraduate | eNotes Newbie

Posted on

2.045 X 10^5

neela's profile pic

neela | High School Teacher | (Level 3) Valedictorian

Posted on

204500=2.045*10^5 . Here the right side number in scientific notation.

Scientific notation of a number of number has the format:

 [s]n.abcde * 10^m,  where n is a digit  from 1 to 9, s is the sign of the number(positive or negative)and a,b,c,d etc are the digits and m is also an integer(positive or negative).

Whatever is the number given , divide it by a number which is an integral power of 10 such that the quotient is from 1 to 9 and the fractional part appears after decimal point.

Example:

2<204500 /10^5 <3.Therefore, 204500= (204500/10^5)*10^5=2.045*10^5.

204500=0.2045*10^6. But the right side number is not in scientific notation as the unit place digit is 0, which is not according to definition.

204500=20.45*10^4 . Here alsothe number on the right side  is not in scientific notation .It isonly an equal in value number.

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