Solve (5×6)×0: Understanding the Zero Multiplication Property

Q: Why isn't the answer 30 if 5 × 6 = 30?

Because the expression is $ (5 \times 6) \times 0 $, not just $ 5 \times 6 $! You must multiply the result 30 by 0, which gives 0.

Q: Does it matter what numbers are in the parentheses?

No! When you multiply by zero, the answer is always zero. Whether it's $ (100 \times 50) \times 0 $ or $ (2 \times 3) \times 0 $, the result is always 0.

Q: What if the zero was inside the parentheses instead?

If it were $ (5 \times 0) \times 6 $, you'd get 0 × 6 = 0. The zero multiplication property works the same way - anywhere there's a zero, the final answer is zero!

Q: Is this the same as the order of operations?

Yes! You follow PEMDAS: solve Parentheses first $ (5 \times 6) $, then do the remaining Multiplication with zero. Order matters!

Zero Multiplication Property with Parentheses

$(5\times6)\times0=$

❤️ Continue Your Math Journey!

We have hundreds of course questions with personalized recommendations + Account 100% premium

Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Solve

00:03 Always solve parentheses first

00:07 Any number multiplied by 0 always equals 0

00:10 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

$(5\times6)\times0=$

Step-by-step solution

To solve this mathematical problem, we need to evaluate the expression $(5 \times 6) \times 0$ .

Let's follow these steps:

Step 1: Compute the product inside the parentheses. $5 \times 6 = 30$ .
Step 2: Multiply the result from Step 1 by zero. $30 \times 0 = 0$ .

According to the property of multiplication by zero, any number multiplied by zero results in zero. Thus, the final result is $0$ .

Therefore, the solution to the problem is $0$ .

Final Answer

Key Points to Remember

Essential concepts to master this topic

Zero Rule: Any number multiplied by zero always equals zero
Technique: Calculate inside parentheses first: $5 \times 6 = 30$ , then multiply by 0
Check: No matter what's in parentheses, multiplying by 0 gives 0 ✓

Common Mistakes

Avoid these frequent errors

Calculating only inside parentheses and forgetting to multiply by zero
Don't stop at $5 \times 6 = 30$ and think the answer is 30! This ignores the final multiplication step and gives the wrong result. Always complete all operations following the order of operations.

Practice Quiz

Test your knowledge with interactive questions

$1\times1000=$

FAQ

Everything you need to know about this question

Why isn't the answer 30 if 5 × 6 = 30?

Because the expression is $(5 \times 6) \times 0$ , not just $5 \times 6$ ! You must multiply the result 30 by 0, which gives 0.

Does it matter what numbers are in the parentheses?

No! When you multiply by zero, the answer is always zero. Whether it's $(100 \times 50) \times 0$ or $(2 \times 3) \times 0$ , the result is always 0.

What if the zero was inside the parentheses instead?

If it were $(5 \times 0) \times 6$ , you'd get 0 × 6 = 0. The zero multiplication property works the same way - anywhere there's a zero, the final answer is zero!

Is this the same as the order of operations?

Yes! You follow PEMDAS: solve Parentheses first $(5 \times 6)$ , then do the remaining Multiplication with zero. Order matters!

Can I just look for zero and say the answer is zero?

While the answer will always be zero when multiplying by zero, it's important to show your work step by step. This helps you understand the process and avoid mistakes on similar problems.

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Order of operations for beginners questions, detailed video solutions, and personalized progress tracking.

📹

Unlimited Video Solutions

Step-by-step explanations for every problem

📊

Progress Analytics

Track your mastery across all topics

🚫

Ad-Free Learning

Focus on math without distractions

No credit card required • Cancel anytime