Solve the Expression: 6×2+5×0 Using Order of Operations

Q: Why do I multiply before adding?

The order of operations (PEMDAS/BODMAS) requires multiplication and division before addition and subtraction. This ensures everyone gets the same answer!

Q: What happens when I multiply by zero?

Any number multiplied by zero equals zero! So $ 5 \times 0 = 0 $, $ 100 \times 0 = 0 $, and even $ 1000000 \times 0 = 0 $.

Q: Can I work from left to right instead?

No! Mathematical expressions must follow order of operations, not reading order. Always do multiplication and division first, regardless of where they appear in the problem.

Q: How do I remember the order of operations?

Use PEMDAS (Please Excuse My Dear Aunt Sally) or BODMAS. Both remind you: Parentheses/Brackets first, then Multiplication and Division, finally Addition and Subtraction.

Order of Operations with Zero Multiplication

$6\times2+5\times0=$

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Understand the problem

$6\times2+5\times0=$

Step-by-step solution

To solve this problem, we'll follow these steps:

Step 1: Identify and perform the multiplications.
Step 2: Add the results of the multiplications.

Now, let's work through each step:

Step 1: Evaluate $6 \times 2$ :

$6 \times 2 = 12$

Step 2: Evaluate $5 \times 0$ :

$5 \times 0 = 0$

Step 3: Add the results from the two calculations:

$12 + 0 = 12$

Therefore, the solution to the problem is $12$ .

Final Answer

Key Points to Remember

Essential concepts to master this topic

Rule: Multiplication comes before addition in order of operations
Technique: Calculate 6×2=12 and 5×0=0, then add: 12+0=12
Check: Verify by working left to right with proper order: 12+0=12 ✓

Common Mistakes

Avoid these frequent errors

Adding before multiplying
Don't solve left to right like 6×2+5=17×0=0! This ignores order of operations and gives completely wrong answers. Always multiply first (6×2=12, 5×0=0), then add the results (12+0=12).

Practice Quiz

Test your knowledge with interactive questions

$1\times1000=$

FAQ

Everything you need to know about this question

Why do I multiply before adding?

The order of operations (PEMDAS/BODMAS) requires multiplication and division before addition and subtraction. This ensures everyone gets the same answer!

What happens when I multiply by zero?

Any number multiplied by zero equals zero! So $5 \times 0 = 0$ , $100 \times 0 = 0$ , and even $1000000 \times 0 = 0$ .

Can I work from left to right instead?

No! Mathematical expressions must follow order of operations, not reading order. Always do multiplication and division first, regardless of where they appear in the problem.

How do I remember the order of operations?

Use PEMDAS (Please Excuse My Dear Aunt Sally) or BODMAS. Both remind you: Parentheses/Brackets first, then Multiplication and Division, finally Addition and Subtraction.

What if there are no parentheses in my problem?

That's fine! Just follow the remaining steps: do all multiplication and division first (left to right), then all addition and subtraction (left to right).

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