Question

How do you solve $ n \times 500 = 5000 $ ?

Answer 1

Hint: Start the solution by first determining whether the above given expression is an equation or not. If it is an equation then write the properties to solve the equation, and then accordingly start solving the above equation, following all the rules and methods of the equation as per required.

Complete step-by-step answer:
In algebra an equation is a mathematical statement that consists of an equal symbol between two algebraic expressions that have the same value.
There are different rules of solving an equation, out of which we are going to use two of them.
i)If we multiply on both sides of the equation, the value on both sides will remain the same.
ii)If we Divide on both sides of an equation with a non-zero term, the value on both sides remains the same.
We are going to use these two properties to solve the above equation.
The equation given to us is $ n \times 500 = 5000 $
Now, since we have to find the value of n, there is only one way to get rid of the 500, i.e. dividing by 500 on both sides.
Therefore the equation becomes
 $
  n \times 500 = 5000 \\
   \Rightarrow \dfrac{{n \times 500}}{{500}} = \dfrac{{5000}}{{500}} \;
  $
Now the left hand side of the equation can be solved by dividing 500 with 500 and the right side will be dividing 5000 with 500
So the answers will be
 $ n = 10 $
Hence this is the final answer of the equation given above.
So, the correct answer is “ $ n = 10 $ ”.

Note: The above given equation is one of the easiest forms of an equation to solve as only minimum terms are involved. The high standard equations which have all the four signs of mathematics involved have brackets involved within the equation and have different sets of rules to solve those equations.