How do you convert 975000 into scientific notation?

1 Answer
Jul 12, 2015

Answer:

The number in standard scientific notation is #9.75 × 10^5#.

Explanation:

In scientific notation, numbers are written in the form #a × 10^b#, where #a# is the "pre-exponential" part and #10^b# is the exponential part.

Your number in decimal form is #975000#.

To get to "standard" scientific notation, we move the decimal point so there is only one non-zero digit in front of the decimal point.

So, #975000# becomes #9.75000#.

The "trailing zeroes" are not significant and can be dropped, so the pre-exponential term is #9.75#.

We moved the decimal place four places, so the exponent is #5#.

We moved the decimal place to the left, so the exponent is positive.

The exponential part is therefore #10^5#.

So #975000 = 9.75 × 10^5#.