Question

1. han has measured the distance from his house to several locations. use the clues to find each distance in meters and kilometers. write your answers in the table.

the library is twice as far as the park.
the school is 5 times as far as tyler’s house.
the library is 3 times as far as elena’s house.
the farthest distance is 3,000 meters.

location	meters	kilometers
library
park
tyler’s house
elena’s house

Explanation:

Step1: Find school distance in meters

Since $1\ \text{kilometer}=1000\ \text{meters}$, convert the given school distance:
$2.5 \times 1000 = 2500\ \text{meters}$

Step2: Find Tyler's house distance

School is 5x Tyler's house distance. Rearrange to solve:
$\text{Tyler's house (meters)} = \frac{2500}{5} = 500\ \text{meters}$
Convert to kilometers: $\frac{500}{1000} = 0.5\ \text{kilometers}$

Step3: Find park distance

Library is 2x park distance; first confirm library is the farthest (3000 meters). Solve for park:
$\text{Park (meters)} = \frac{3000}{2} = 1500\ \text{meters}$
Convert to kilometers: $\frac{1500}{1000} = 1.5\ \text{kilometers}$

Step4: Find Elena's house distance

Library is 3x Elena's house distance. Solve:
$\text{Elena's house (meters)} = \frac{3000}{3} = 1000\ \text{meters}$
Convert to kilometers: $\frac{1000}{1000} = 1\ \text{kilometer}$

Step5: Fill library distance in km

Convert library's 3000 meters to kilometers:
$\frac{3000}{1000} = 3\ \text{kilometers}$

Answer:

Location	meters	kilometers
Library	3000	3
Park	1500	1.5
Tyler's house	500	0.5
Elena's house	1000	1