Question

How do you simplify \[\dfrac{25}{5}\left( 2+3 \right)\] using PEMDAS?

Answer 1

Hint: Considering the PEMDAS rule into account, first solve the terms present inside the bracket, i.e., add the numbers 2 and 3. Now, multiply the obtained sum with 25 and cancel the common factors while performing division to get the answer.

Complete step by step answer:
Here, we have been provided with the expression \[\dfrac{25}{5}\left( 2+3 \right)\] and we are asked to simplify it using PEMDAS. But first, we need to know about the term ‘PEMDAS’.
Now, the term ‘PEMDAS’ stands for parenthesis, exponents, multiplication, division, addition, subtraction. It states that we have to simplify any expression according to the operations listed in order. PEMDAS and BODMAS are exactly the same. They are different names used for the same set of rules. According to these rules, we need to simplify the terms present inside the bracket first and so on according to the listed operations in order. However, division and multiplication operations can be interchanged. That means we can perform any of the two first, among themselves only.
Let us come to the question. Here, we are assuming the given expression as ‘E’. So, we have,
\[\Rightarrow E=\dfrac{25}{5}\left( 2+3 \right)\]
Solving the terms inside the bracket first, i.e., adding 2 and 3, we get,
\[\Rightarrow E=\dfrac{25}{5}\times 5\]
In the next step performing the multiplication, we get,
\[\Rightarrow E=\dfrac{125}{5}\]
Canceling the common factors while performing division, we get,
\[\Rightarrow E=25\]
Hence, 25 is our answer.

Note:
One may note that we have performed multiplication first and then division first and then multiplication, it will not change the answer. One important thing you may consider is that we can solve this question without using BODMAS or PEMDAS rule as it was a very simple expression. But remember these rules because sometimes the expression will be lengthy with many operations to perform. In such cases, if we will not use these rules then the expression will get complicated and we will get the wrong answer.