On average, the planet Pluto's distance from the sun is about 3,670,000,000 miles. How do you express this distance in scientific notation?

Answer 1

In scientific notation, Pluto's distance from the sun is #3.67xx10^9# miles.

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.
Her, we intend to write the large number #3,670,000,000# in scientific notation. To write #3,670,000,000# in scientific notation, as we have a whole number, decimal is at the end the number (as #3# is in fact #3.0#) and we will have to move the decimal point nine points to left, which literally means dividing the large number by #10^9#.
Hence in scientific notation #3,670,000,000=3.67xx10^(9)# (note that as we have moved decimal nine points to the left, to compensate, we are multiplying by #10^9#.
Hence, in scientific notation, Pluto's distance from the sun is #3.67xx10^9# miles.
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Answer 2

The distance from the sun to Pluto, on average, can be expressed in scientific notation as 3.67 x 10^9 miles.

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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.

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.

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.

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.

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