Question

SCIENTIFIC NOTATION Rewrite in scientific notation. $$ 2,730,000,000 $$

Short answer

The number 2,730,000,000 in scientific notation is \(2.73 x 10^9\).

Step-by-step solution

Identify the digit term

First, find the first term \(a\) which is simply the given number, removing trailing zeros and adding a decimal after the first digit. For this number, \(a\) is 2.73.

Determine the exponent

Next, we find the exponent \(n\). This is the number of places we moved the decimal point. Count the number of places moved from the end of original number up to where it is now in \(a\). The number of places moved will be \(n\). In this case, we moved the decimal point 9 places to the left, so \(n\) is 9.

Write the number in scientific notation

Now that we have values for \(a\) and \(n\), we put it all together to write the number in scientific notation as \(a x 10^n\). Thus the number 2,730,000,000 in scientific notation will be \(2.73 x 10^9\).