A street has 16 street lamps at an equal distance from one another. Each pair of street lamps is 460 meters apart. How long is the street? Give your answer in kilometers and meters... A street has 16 street lamps at an equal distance from one another. Each pair of street lamps is 460 meters apart. How long is the street? Give your answer in kilometers and meters.
Understand the Problem
The question describes a street with 16 equally spaced street lamps. It provides the distance between each pair of street lamps (460 meters) and asks for the total length of the street. This involves calculating the total number of gaps and then multiplying by the distance between each lamp.
Answer
6 kilometers and 900 meters
Answer for screen readers
6 kilometers and 900 meters
Steps to Solve
- Determine the number of gaps
Since there are 16 street lamps, there are 15 gaps between them.
- Calculate the total distance in meters
Multiply the number of gaps by the distance between each lamp:
$15 \times 460 = 6900$ meters
- Convert meters to kilometers
Since 1 kilometer = 1000 meters, divide the total distance in meters by 1000 to get the distance in kilometers.
$6900 / 1000 = 6.9$ kilometers
- Express the answer in kilometers and meters
The whole number part of the result from the previous step represents kilometers, and the decimal part represents the fraction of a kilometer, which can be converted back to meters by multiplying by 1000.
$6$ kilometers and $0.9 \times 1000 = 900$ meters.
6 kilometers and 900 meters
More Information
The problem involves converting between metric units, specifically meters and kilometers. One kilometer is equal to 1000 meters.
Tips
A common mistake is to multiply the number of lamps (16) by the distance between each lamp instead of the number of gaps (15). Always remember to subtract one from the number of objects to get the number of gaps in between them.
AI-generated content may contain errors. Please verify critical information
