Question

The population of New York City is approximately 9,399,000. Round this to the greatest place value and then express it as a product of a single digit and a power of 10.

a) 9 x 10^6
b) 90 x 10^5
c) 900 x 10^4
d) 9,000,000

Answer 1

The population of New York City rounded to the greatest place value is 9,000,000, which in scientific notation is expressed as 9 x 10^6.

Step-by-step explanation:

The student is asking for assistance with rounding a population figure to the greatest place value and expressing that number as a product of a single digit times a power of 10, a task related to the concept of scientific notation in mathematics. Rounding the given population number, 9,399,000 to the greatest place value, we consider the place value with the highest significance, which is the millions place. Thus, we round it to 9,000,000, effectively keeping only the first digit and replacing other digits with zeros.

Now, to express this number as a single digit times a power of 10, we write it in scientific notation. The number 9,000,000 can be written as 9 x 10^6, since you need to move the decimal point 6 places to the right to return to the original number, which is the definition of scientific notation. In this notation, 9 is the single digit, and 10^6 represents the number 10 raised to the power of 6, which shows how many times we multiply 10 by itself.