Plan a trip where you will start at one city, travel to a second city, travel to a third city, and then return to the original city. Assuming you could travel the direct straight-line distance between each pair of cities, how far will you travel all together? Write your total distance traveled in both decimal notation and scientific notation. Show all your work so it is clear what cities you are going to and in what order. 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? Write and evaluate an expression that uses multiplication to calculate the total distance traveled. Give your answer in both decimal notation and scientific notation. Using the table of distances, make up your own word problem that would require someone to use division to solve. Write the problem, and provide the solution.
1 answer
City B: Seattle
Trip 1: Los Angeles to Seattle
Trip 2: Seattle to Los Angeles
Trip 3: Los Angeles to Seattle
To calculate the total distance traveled, we need to find the straight-line distance between Los Angeles and Seattle, and then multiply it by the number of trips.
Using the table of distances, we find that the distance between Los Angeles and Seattle is 1,130 miles.
Total distance traveled = 1,130 miles/trip * 3 trips
= 3,390 miles
In decimal notation, the total distance traveled is 3,390 miles.
In scientific notation, the total distance traveled is 3.39 x 10^3 miles.
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Word problem using division:
Liam is planning a road trip and wants to visit 4 cities. He has a total of 600 miles to drive, and he wants to drive an equal distance between each city. How many miles should he drive between each city?
Solution:
To find the distance Liam should drive between each city, we need to divide the total distance (600 miles) by the number of gaps between cities (4-1 = 3 gaps).
Distance between each city = 600 miles / 3 gaps
= 200 miles per gap
Liam should drive 200 miles between each city.