How do you write the number in scientific notation 5,100,000?

Answer 1

#5,100,000=5.1xx10^6#

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 #5,100,000# in scientific notation, we will have to move the decimal point six points to left, which literally means dividing by #10^6#.

Hence in scientific notation #5,100,000=5.1xx10^6# (note that as we have moved decimal six points to left, we are multiplying by #10^6# to compensate for division by #10^6#.

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Answer 2

Autumn Arnold

To write the number 5,100,000 in scientific notation, you move the decimal point to the left until there is only one non-zero digit to the left of the decimal point. Count the number of places you moved the decimal point. The number of places you moved the decimal point becomes the exponent in the power of 10. Therefore, 5,100,000 in scientific notation is $5.1 \times 10^6$ .

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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.