Solve the Expression: Evaluating 12+3×0 Using Order of Operations

Order of Operations with Zero Multiplication

12+3×0= 12+3\times0=

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:04 Let's solve this math problem together.
00:07 Remember, we always do multiplication and division before addition and subtraction.
00:13 Here's a tip! Zero times any number is always zero.
00:18 And that's how we find the answer to this question!

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

12+3×0= 12+3\times0=

2

Step-by-step solution

According to the order of operations, we first multiply and then add:

3×0=0 3\times0=0

12+0=12 12+0=12

3

Final Answer

12

Key Points to Remember

Essential concepts to master this topic
  • PEMDAS Rule: Multiplication comes before addition in order of operations
  • Technique: Calculate 3×0=0 3\times0=0 first, then 12+0=12 12+0=12
  • Check: Work left to right following PEMDAS: multiply first, then add ✓

Common Mistakes

Avoid these frequent errors
  • Adding before multiplying
    Don't solve left to right as 12+3=15 12+3=15 , then 15×0=0 15\times0=0 ! This ignores order of operations and gives 0 instead of 12. Always follow PEMDAS: multiply 3×0=0 3\times0=0 first, then add 12+0=12 12+0=12 .

Practice Quiz

Test your knowledge with interactive questions

\( 100+5-100+5 \)

FAQ

Everything you need to know about this question

Why can't I just work from left to right?

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Mathematical expressions have a specific order called PEMDAS! If we don't follow this rule, everyone would get different answers for the same problem. Multiplication always comes before addition, no matter where it appears.

Does multiplying by zero always give zero?

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Yes! Any number times zero equals zero. So 3×0=0 3\times0=0 , 100×0=0 100\times0=0 , even 999×0=0 999\times0=0 . This is called the zero property of multiplication.

What if the problem was 12×0+3 instead?

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You'd still multiply first! 12×0=0 12\times0=0 , then 0+3=3 0+3=3 . The position doesn't matter - multiplication always happens before addition in PEMDAS.

How do I remember the order of operations?

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Use the acronym PEMDAS: Please Excuse My Dear Aunt Sally. This stands for Parentheses, Exponents, Multiplication/Division (left to right), Addition/Subtraction (left to right).

What would happen if I got 15 as my answer?

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Getting 15 means you added first: 12+3=15 12+3=15 , then multiplied by 0. This violates PEMDAS! Remember: operations must be done in the correct order, not just left to right.

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