What Divided by 7 Equals 82?
Methods
Setting up the problem:
In a problem like this, the “what” means that we’re working with a variable. The most common variable used in math is “x”. So, we could say what number, x, when divided by 7, equals 82?
Solving What Divided by 7 Equals 82
Here’s how you would set up this question as an equation:
x
7
=
82
\frac{x}{7} = 82
7 x = 82
The goal of the problem is to solve for x. To do this we need to change the equation so that x is alone on one side of the equation.In this case, we can do that by multiplying both sides of the equation by 7, resulting in this equation:
x
=
82
∗
7
x = 82*7
x = 82 ∗ 7
Then we simplify and find our answer:
x
=
574
x = 574
x = 574
So, the answer to the question “What divided by 7 equals 82?” is 574.To prove this, we can take the original problem:
x
7
=
82
\frac{x}{7} = 82
7 x = 82
And insert 574 in the place of x:
574
7
=
82
\frac{574}{7} = 82
7 574 = 82
Because this is true, the answer must be correct.
Practice Other Division Problems Like This One
If this problem was a little difficult or you want to practice your skills on another one, give it a go on any one of these too!
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