Using the standard order of operations (multiplication and division left to right, then addition), evaluate the expression: 5 + 2 * 10 ÷ 2.

Difficulty: Easy

Correct Answer: 15

Explanation:


Introduction:
This question checks understanding of order of operations. In arithmetic, multiplication and division are performed before addition and subtraction. Also, multiplication and division have the same priority, so they are carried out from left to right. Therefore, in 5 + 2 * 10 ÷ 2, we first compute 2 * 10, then divide by 2, and only then add 5. Getting this wrong usually comes from adding 5 too early or grouping division incorrectly.


Given Data / Assumptions:

  • Expression: 5 + 2 * 10 ÷ 2
  • Rule: perform * and ÷ from left to right
  • Then perform +


Concept / Approach:
Evaluate the multiplication and division part first. Since 2 * 10 ÷ 2 is a chain, compute left to right: (2 * 10) ÷ 2. Finally add 5 to the resulting value. This is the standard BODMAS/PEMDAS logic (with the important note that division is not done before multiplication; it is left to right).


Step-by-Step Solution:
Start: 5 + 2 * 10 ÷ 2 Compute multiplication: 2 * 10 = 20 Now divide: 20 ÷ 2 = 10 Now add: 5 + 10 = 15


Verification / Alternative check:
You can rewrite the expression as 5 + (2 * 10 / 2). Since 10/2 = 5, the inside becomes 2*5 = 10. Then 5 + 10 = 15. Same result confirms correctness.


Why Other Options Are Wrong:
10 would be chosen if the +5 is ignored. 20 might come from doing 5 + 2 first and then multiplying, which is not allowed without parentheses. 35 might come from 5 + 2*10 = 25 and then adding 10 again incorrectly. 25 is from stopping after 5 + 20 without dividing by 2.


Common Pitfalls:
Adding before completing multiplication/division, or assuming division must be done before multiplication instead of left-to-right evaluation.


Final Answer:
The value of 5 + 2 * 10 ÷ 2 is 15.

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