Rewrite the following number in scientific notation:

To write a number in scientific notation, we need to write it as a decimal times a certain power of ten. The decimal should be after the one's place. This means that ours should generally look like the following:

The next step is to determine the number of decimal places we had to move our decimal. This will tell us which power to raise our ten to

To go from

We had to move our decimal point 9 places. This means that our "n" will be nine.

Start by multiplying the two terms.

Next, recall that in scientific notation, the digits must be a number less than  that is multiplied by a power of . Thus, we can rewrite  as  in scientific notation.

The rules of scientific notation are simple. A number is being converted into a format where it's a decimal between 1 and just below 10 (9.9999999...) accompanied by an exponent. The exponent represents how many times to the decimal must move to the left or to the right to become the original number again. Scientific notation does not change the value of the number, but merely provide number in an easier to look at way. If the decimal must move to the right in order to achieve the original number, it will be represented by a positive exponent. If the decimal must move to the left, it will be represented by a negative exponent.

For this example, , 

we first write how this number would be if it were in decimal form (between 1 and just shy of 10).

This would be : 

Now we must count how many times we had to move the decimal over to achieve this decimal. (Imagine the decimal is after the last digit in the original number.) We can see that the decimal had to move  times. With the decimal placed between the first two digits, we see that if we wanted to go back to the original number (), we would have to move the decimal to the right. This means a positive exponent. Therefore, the answer would be:

The rules of scientific notation are simple. A number is being converted into a format where it's a decimal between 1 and just below 10 (9.9999999...) accompanied by an exponent. The exponent represents how many times to the decimal must move to the left or to the right to become the original number again. Scientific notation does not change the value of the number, but merely provide number in an easier to look at way. If the decimal must move to the right in order to achieve the original number, it will be represented by a positive exponent. If the decimal must move to the left, it will be represented by a negative exponent.

For this example, , 

we first write how this number would be if it were in decimal form (between 1 and just shy of 10).

This would be : 

Now we must count how many times we had to move the decimal over to achieve this decimal. (Remember the decimal is between  and  in the original number.) We can see that the decimal had to move  time. With the decimal placed between the  and , we see that if we wanted to go back to the original number (), we would have to move the decimal to the right. This means a positive exponent. Therefore, the answer would be:

The rules of scientific notation are simple. A number is being converted into a format where it's a decimal between 1 and just below 10 (9.9999999...) accompanied by an exponent. The exponent represents how many times to the decimal must move to the left or to the right to become the original number again. Scientific notation does not change the value of the number, but merely provide number in an easier to look at way. If the decimal must move to the right in order to achieve the original number, it will be represented by a positive exponent. If the decimal must move to the left, it will be represented by a negative exponent.

For this example, , 

we first write how this number would be if it were in decimal form (between 1 and just shy of 10).

This would be : 

Now we must count how many times we had to move the decimal over to achieve this decimal. (Remember the decimal is between  and  in the original number.) We can see that the decimal had to move  times. With the decimal placed between the  and , we see that if we wanted to go back to the original number (), we would have to move the decimal to the right. This means a positive exponent. Therefore, the answer would be:

The rules of scientific notation are simple. A number is being converted into a format where it's a decimal between 1 and just below 10 (9.9999999...) accompanied by an exponent. The exponent represents how many times to the decimal must move to the left or to the right to become the original number again. Scientific notation does not change the value of the number, but merely provide number in an easier to look at way. If the decimal must move to the right in order to achieve the original number, it will be represented by a positive exponent. If the decimal must move to the left, it will be represented by a negative exponent.

For this example, , 

we first write how this number would be if it were in decimal form (between 1 and just shy of 10).

This would be : 

Now we must count how many times we had to move the decimal over to achieve this decimal. (Remember where the decimal is in the original number.) We can see that the decimal had to move  times. With the decimal placed between the  and , we see that if we wanted to go back to the original number (), we would have to move the decimal to the left. This means a negative exponent. Therefore, the answer would be:

The rules of scientific notation are simple. A number is being converted into a format where it's a decimal between 1 and just below 10 (9.9999999...) accompanied by an exponent. The exponent represents how many times to the decimal must move to the left or to the right to become the original number again. Scientific notation does not change the value of the number, but merely provide number in an easier to look at way. If the decimal must move to the right in order to achieve the original number, it will be represented by a positive exponent. If the decimal must move to the left, it will be represented by a negative exponent.

For this example, , 

we first write how this number would be if it were in decimal form (between 1 and just shy of 10).

This would be : 

Now we must count how many times we had to move the decimal over to achieve this decimal. (Remember where the decimal is in the original number.) We can see that the decimal had to move  times. With the decimal placed between the  and , we see that if we wanted to go back to the original number (), we would have to move the decimal to the left. This means a negative exponent. Therefore, the answer would be:

The rules of scientific notation are simple. A number is being converted into a format where it's a decimal between 1 and just below 10 (9.9999999...) accompanied by an exponent. The exponent represents how many times to the decimal must move to the left or to the right to become the original number again. Scientific notation does not change the value of the number, but merely provide number in an easier to look at way. If the decimal must move to the right in order to achieve the original number, it will be represented by a positive exponent. If the decimal must move to the left, it will be represented by a negative exponent.

For this example, , 

we first write how this number would be if it were in decimal form (between 1 and just shy of 10).

This would be : 

Now we must count how many times we had to move the decimal over to achieve this decimal. (Remember where the decimal is in the original number.) We can see that the decimal had to move  times. With the decimal placed between the  and , we see that if we wanted to go back to the original number (), we would have to move the decimal to the left. This means a negative exponent. Therefore, the answer would be:

Make sure that your units cross out properly.