Evaluate the expression 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 × 0 + 1 + 1 using the correct order of operations.

Introduction / Context:
This problem checks your understanding of the basic order of operations (also called BODMAS or PEMDAS rules) in arithmetic. It looks like a long string of ones, plus signs, and a single multiplication by zero, and can be tricky if you simply read from left to right without applying the correct operation priority. Such questions are common in aptitude tests to catch careless mistakes.

Given Data / Assumptions:

• The expression is: 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 × 0 + 1 + 1.
• Multiplication must be done before addition.
• There are no brackets and no subtraction or division symbols.
• We must simplify this expression to a single numerical value.

Concept / Approach:
The key concept is the order of operations. According to standard rules, multiplication takes precedence over addition. That means we must first evaluate 1 × 0 wherever it appears, and only then perform the additions. If we do not respect this order and instead add everything from left to right, we will get the wrong answer. Once we handle the multiplication, the rest of the expression reduces to a sum of simple integers, which is easy to compute.

Step-by-Step Solution:
Step 1: Rewrite the expression clearly: 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 × 0 + 1 + 1. Step 2: Apply the order of operations and evaluate the multiplication part first: 1 × 0 = 0. Step 3: Replace 1 × 0 with 0. The expression becomes 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 0 + 1 + 1. Step 4: Count the number of ones that are being added. There are 12 ones in total (ten before the multiplication, plus two after it). Step 5: The sum of twelve ones is 12, so the value of the expression is 12.

Verification / Alternative check:
Another way to see this is to separate the sum into two parts and the multiplication: (sum of the first 10 ones) + (1 × 0) + (sum of the last 2 ones). The first part is 10, the multiplication is 0, and the last part is 2. Therefore the entire expression is 10 + 0 + 2 = 12. This alternative grouping confirms the same result and shows that, regardless of grouping (as long as multiplication is done first), you get 12.

Why Other Options Are Wrong:
Option 0: This would be correct only if every term were multiplied by zero, but here only one 1 is multiplied by 0.
Option 2: This is the sum of the last two ones only and ignores the previous ones.
Option 10: This is the sum of the ten initial ones, ignoring the two ones after the multiplication.
Option 14: This would be the result if you incorrectly treated 1 × 0 as 1 and simply counted 14 ones, which is wrong.

Common Pitfalls:
The main mistake is to read the whole line as “how many ones are there” and ignore the multiplication symbol, or to misapply the rule and do addition before multiplication. Some students also miscount the ones. Always scan the expression for multiplication and division first, evaluate those parts, and then perform additions and subtractions. Writing the expression in a cleaner form can prevent counting errors.

Final Answer:
Using the correct order of operations, the value of the expression is 12.