How do you write 251,000.0 in scientific notation?

Answer 1

#251,000.0=2.51xx10^5#

In scientific notation, we write a number so that it has single digit to the left of decimal sign and is multiplied by an integer power of #10#.

Note that moving decimal #p# digits to right is equivalent to multiplying by #10^p# and moving decimal #q# digits to left is equivalent to dividing by #10^q#.

Hence, we should either divide the number by #10^p# i.e. multiply by #10^(-p)# (if moving decimal to right) or multiply the number by #10^q# (if moving decimal to left).

In other words, it is written as #axx10^n#, where #1<=a<10# and #n# is an integer.

To write #251,000.0# in scientific notation, we will have to move the decimal point five points to left, which literally means dividing by #10^5#.

Hence in scientific notation #251,000.0=2.51xx10^5# (note that as we have moved decimal five points to left i.e. divided by#10^5#, we are multiplying by #10^5# to compensate.

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Answer 2

Roman Alvarez

251,000.0 in scientific notation is ( 2.51 \times 10^5 ).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.