Sita lives in Los Angeles, and her grandmother lives in Seattle.
Sita plans to visit her grandmother three times in the next year. Assuming she travels the direct straight-line distance between the cities on each trip, what is the total distance she will travel to make these three trips? (All 3 are round trips – to and from)
Write and evaluate an expression that uses multiplication to calculate the total distance traveled. Give your answer in both decimal notation and scientific notation.
To calculate the total distance traveled, we need to multiply the one-way distance between Los Angeles and Seattle (direct straight-line distance) by 2 (for the round trip) and then multiply it by 3 (for the three trips).
Let's assume the one-way distance between Los Angeles and Seattle is 1000 miles.
The total distance traveled can be calculated as follows:
Total distance = (one-way distance * 2) * 3
Total distance = (1000 miles * 2) * 3
Total distance = 2000 miles * 3
Total distance = 6000 miles
The total distance Sita will travel to make these three trips is 6000 miles.
In scientific notation, 6000 miles can be written as 6.0 x 10^3 miles.
To calculate the total distance Sita will travel for the three trips, we need to multiply the distance between Los Angeles and Seattle by 2 (round trip) and then multiply it by 3 (three trips in a year).
The direct straight-line distance between Los Angeles and Seattle is roughly 1,130 miles.
Expression:
Total distance traveled = 2 * 1,130 miles * 3 trips
Decimal notation:
Total distance traveled = 2 * 1,130 miles * 3 trips = 6,780 miles
Scientific notation:
Total distance traveled = 6.78 x 10^3 miles
To calculate the total distance Sita will travel to make three round trips between Los Angeles and Seattle, we need to find the straight-line distance between the two cities and then multiply it by the number of round trips.
The straight-line distance between Los Angeles and Seattle is approximately 1,137 miles (source: Google Maps).
To find the total distance traveled for three round trips, we multiply the straight-line distance by 2 (for the round trip) and then multiply it by 3 (for three trips):
Total distance = 1,137 miles x 2 x 3
Total distance = 6,822 miles
Therefore, Sita will travel a total distance of 6,822 miles (in decimal notation).
In scientific notation, 6,822 can be written as:
6.822 x 10^3 miles
So, the total distance traveled by Sita is 6,822 miles (or 6.822 x 10^3 miles in scientific notation).