Question

The length of Florida's coastline is approximately 1.35 x 10^3 miles. Which value is equivalent to this number of miles?

a) 13,500.00
b) 1350.00
c) 1035.00
d) 1000.35

Answer 1

The length of Florida's coastline, 1.35 x 10^3 miles, is equivalent to 1350.00 miles, which makes the correct answer option b) 1350.00.

Step-by-step explanation:

The length of Florida's coastline given as 1.35 x 10^3 miles is in scientific notation. To convert this into a standard number, we multiply the coefficient by 10 raised to the power of the exponent. Here, we multiply 1.35 by 10 raised to the power of 3 (10^3), which equals 1350. Therefore, the equivalent value in standard notation is 1350 miles.When we calculate the actual value, 1.35 x 10^3 becomes 1350. This is done by moving the decimal point to the right three places because the exponent over the base 10 is 3. As such: 1.35 -> 13.5 -> 135 -> 1350. Thus, the main answer to the question is 1350.00 miles, which corresponds to option b) 1350.00.