Question

How to use SADMEP? \[285 + \dfrac{h}{{25}} = 300\]

Answer 1

Hint: Here, we have to find the value of the variable by using the SADMEP rule. SADMEP rule is a method of solving the mathematical operations from the weakest to the strongest operations. So we will first use subtraction operation and then multiplication operation to simplify the given equation and get the required value of \[h\].

Complete Step by Step Solution:
We are given an expression \[285 + \dfrac{h}{{25}} = 300\].
We will now use the SADMEP rule.
Now, we will subtract \[285\] from both sides of the equation such that the number on the left side of the equation vanishes to zero. So, we get
\[ \Rightarrow 285 + \dfrac{h}{{25}} - 285 = 300 - 285\]
\[ \Rightarrow \dfrac{h}{{25}} = 15\]
Now, we will multiply \[25\] to both the sides of the equation such that the denominator on the left side of the equation vanishes to one. So, we get
\[ \Rightarrow \dfrac{h}{{25}} \times 25 = 15 \times 25\]
\[ \Rightarrow h = 375\]

Therefore, the solution for the variable \[h\] is 375.

Note:
We know that the PEMDAS rule states that the first operation has to be done which is in the Parenthesis, next the operation applies on the exponents, then it moves on to the multiplication and division, and then using addition and subtraction we will simplify the expression. If addition or subtraction and division or multiplication are in the same calculations, then it has to be done from left to right. Addition and Subtraction are inverses to each other. Multiplication and Division are inverses to each other. PEMDAS rule is an order of performing from the strongest to the weakest operations. We should remember that the SADMEP rule is the reverse operation of the PEMDAS rule.