MATH SOLVE

7 months ago

Q:
# In 2012, New York City (NYC) and Los Angeles (LA) has the highest
populations of any cities in the United States. NYC’s population was about
8.1 × 106 and LA’s population was about 3.8 × 106
. What is the population of
these two cities combined?

Accepted Solution

A:

To find the population of these two cities combined, we need to add their populations:
Population of NYC + Population of LA = 8.1 × 10^6 + 3.8 × 10^6
Using the laws of exponents, we can simplify this expression by first converting both numbers to scientific notation with the same power of 10:
8.1 × 10^6 + 3.8 × 10^6 = 8.1 × 10^6 + 0.38 × 10^7
Next, we can add the two numbers:
8.1 × 10^6 + 0.38 × 10^7 = (8.1 + 3.8) × 10^6 = 11.9 × 10^6
Finally, we can convert this number back to standard form:
11.9 × 10^6 = 11,900,000
Therefore, the population of New York City and Los Angeles combined is 11,900,000.