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.
divide 9.2735 x 10^2
Word problem:
A delivery truck travels a distance of 9.2735 x 10^2 kilometers in a single day. If the driver delivers packages equally to 5 different locations along the route, how much distance does the truck cover for each delivery location?
Solution:
To find the distance covered for each delivery location, we need to divide the total distance traveled by the number of delivery locations.
Total distance traveled = 9.2735 x 10^2 kilometers
Number of delivery locations = 5
Distance covered for each delivery location = (9.2735 x 10^2) / 5
Distance covered for each delivery location = 1.8547 x 10^2 kilometers
Problem: A cyclist is participating in a long-distance race. In the first stage of the race, he covers a distance of 9.2735 x 10^2 kilometers. If the race organizers require the distance to be divided into equal segments, how many segments will there be if each segment covers 75 kilometers?
Solution: To find the number of segments, we need to divide the total distance covered by the distance per segment.
Total distance: 9.2735 x 10^2 kilometers
Distance per segment: 75 kilometers
Number of segments = Total distance / Distance per segment
Number of segments = (9.2735 x 10^2) km / 75 km
To divide with exponents, we subtract the exponents:
Number of segments = 9.2735 x 10^2 / 75
Number of segments = 1.2378 x 10^1
Therefore, there will be approximately 12.378 (rounded to 3 decimal places) equal segments in the race.
Sure! Here's an example word problem that involves division:
Problem:
A car travels a distance of 9.2735 x 10^2 miles in 3 hours. What is the average speed of the car in miles per hour?
Solution:
To solve this problem, we need to divide the distance traveled by the time taken. In this case, the distance traveled is 9.2735 x 10^2 miles, and the time taken is 3 hours.
To divide a number written in scientific notation (10^2) by a whole number, we can simply divide the numerical part of the first number by the second number and keep the exponent as it is.
So, the average speed can be calculated as follows:
Average speed = Distance / Time
= (9.2735 x 10^2 miles) / 3 hours
≈ (9.2735 / 3) x 10^2 miles per hour
≈ 3.0911 x 10^2 miles per hour
Therefore, the average speed of the car is approximately 309.11 miles per hour.