In 1968, the estimated population of the world was 3,559,028,982 people. When this number is written in expanded form using exponents, one power of 10 would not be represented. Which power of 10? Why?
10^0?
To determine the missing power of 10, we need to rewrite the number 3,559,028,982 in scientific notation. In scientific notation, a number is expressed in the form:
a x 10^b
where "a" is a number between 1 and 10 (exclusive), and "b" is the power of 10. The goal is to rewrite the given number so that it fits this format.
First, let's consider the given population number, 3,559,028,982. To express it as a number between 1 and 10, we can move the decimal point to the left so that there is one digit to the left:
3.559028982 x 10^?
Now, count the number of places you moved the decimal point. In this case, we've moved it 9 places to the left:
3.559028982 x 10^9
So the correct scientific notation representation of the population in 1968 is 3.559028982 x 10^9.
However, we notice that in the original number, there is no "1" before the decimal point. This means that one power of 10 is not represented. In this case, the missing power of 10 is "10^0."
To further explain, if the number were written with the leading "1" which is the same as multiplying it by 10^0:
1 x 10^0 x 3.559028982 x 10^9
The 10^0 cancels out, so the original number remains the same:
3.559028982 x 10^9
Hence, the missing power of 10 that is not represented is 10^0.