MATH SOLVE

2 months ago

Q:
# Cheryl is moving to a new house. Her old house is 3 kilometers and 457meters from her new house. How many meters is her old house from her new house.

Accepted Solution

A:

Answer:Her old house is 3000m+457m = 3457m from her new house.Step-by-step explanation:Conversion of units problems can always be modeled as a rule of three problem.Rule of three problem:In a rule of three problem, the first step is identifying the measures and how they are related, if their relationship is direct of inverse.When the relationship between the measures is direct, as the value of one measure increases, the value of the other measure is going to increase too. In this case, the rule of three is a cross multiplicationWhen the relationship between the measures is inverse, as the value of one measure increases, the value of the other measure will decrease. In this case, the rule of three is a line multiplication.In the case of a conversion of units problem, the measures are:- the value in one unit- the value in another unitAs the value of the first unit increases, so will the value of the second unit. It means that in a conversion of units problem, we will always have a direct rule of three.The problem states that Cheryl's new house is 3 kilometers and 457meters from her old house. The problem wants to know this distance purely in meters, so we have to convert 3km to meters. 1km = 1000m, so:1km - 1000m3km - xmx = 1000*3x = 3000mHer old house is 3000m+457m = 3457m from her new house.