Why do we multiply to cancel out? Say we have g/4=3.2 why do we multiply each side by 4 to get g by itself? I don’t get why it doesn’t stay g/4 to be honest

rustenig

rustenig

Answered question

2022-09-11

Why do we multiply to cancel out?
Say we have g 4 = 3.2 why do we multiply each side by 4 to get g by itself? I don’t get why it doesn’t stay g 4 to be honest

Answer & Explanation

Duncan Kaufman

Duncan Kaufman

Beginner2022-09-12Added 17 answers

Because g 4 is the same thing as g 1 4 , when you multiply the left side by 4 you get this:
g 4 4 = ( g 1 4 g 4 ) 4 = g ( 1 4 4 ) = g ( 1 ) = g
batystowy2b

batystowy2b

Beginner2022-09-13Added 2 answers

Consider the equality
g a = b
We can also write that as
1 a g = b
If we want to isolate g, we just multiply both sides of the equality by the inverse of 1 a , which is a:
a 1 a g = a b

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