What will be the value of the expression ?14 + 13 % 15
The Correct Answer and Explanation is:
Correct Answer:
27
Step-by-Step Explanation:
We are given the expression:
matlabCopyEdit14 + 13 % 15
To evaluate this expression correctly, we must follow the order of operations, also known as PEMDAS/BODMAS:
- P/B – Parentheses/Brackets
- E/O – Exponents/Orders (not present here)
- MD – Multiplication and Division (from left to right)
- AS – Addition and Subtraction (from left to right)
Modulo Operator (%):
The modulo operator gives the remainder when one number is divided by another.
Step 1: Evaluate the Modulo Operation
We look at the modulo part first:
matlabCopyEdit13 % 15
This means: What is the remainder when 13 is divided by 15?
Since 13 is less than 15, it does not divide even once. So, the entire 13 is left as the remainder.
Thus:
matlabCopyEdit13 % 15 = 13
Step 2: Perform the Addition
Now substitute back into the original expression:
CopyEdit14 + 13
Which gives:
CopyEdit= 27
Final Answer:
27
Additional Explanation (Why Order Matters):
If someone mistakenly did addition first:
matlabCopyEdit(14 + 13) % 15 = 27 % 15 = 12
That would be incorrect because it ignores the precedence of the modulo operator.
Modulo (%) has higher precedence than addition, so it must be computed before addition unless parentheses explicitly say otherwise.
In programming languages like Python, C++, Java, or JavaScript, the expression 14 + 13 % 15 would always be evaluated as:
plaintextCopyEdit14 + (13 % 15) = 14 + 13 = 27
So, respecting order of operations is essential to avoid errors.
Summary:
- 13 % 15 = 13
- 14 + 13 = 27
- ✅ Final Answer: 27
