How can you change masses to kilograms 2500grams is equal to?

1 Answer
MathFact-orials.blogspot.com
Apr 26, 2018

#2500 " grams"=2.5 " kilograms"#

Explanation:

One way to do this is to remember that 1000 grams = 1 kilogram. We can then set up a ratio:

#(1000 " gram")/(1 " kilogram")=(2500 " gram")/(? " kilogram")#

One way I can solve this ratio is to work with the left hand side to get the numerator to equal the numerator on the right hand side. I do this by using the a form of the number 1. 1 times something is that same something, and so we can always multiply by 1 and not change the value of the fraction. And since #(2.5)/(2.5)=1#, I can say:

#(1000 " gram")/(1 " kilogram")(1)=(2500 " gram")/(? " kilogram")#

#(1000 " gram")/(1 " kilogram")(2.5/2.5)=(2500 " gram")/(? " kilogram")#

#(2500 " gram")/(2.5 " kilogram")=(2500 " gram")/(? " kilogram")#

Since the numerators are now equal, we can say that the denominators are also equal (they have to be because the two fractions are the same value - the equal sign tells us that).

Therefore, #2500 " grams"=2.5 " kilograms"#

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