Solve (4×9)×0: Understanding the Zero Property in Multiplication

Q: Does it matter what's inside the parentheses when multiplying by zero?

No, it doesn't matter at all! Whether it's $ (4\times9)\times0 $ or $ (100\times50)\times0 $, the answer is always zero because of the zero property.

Q: Why do we still need to calculate 4×9 if the answer will be zero anyway?

Great question! Following the order of operations is important for building good math habits. Even though we know the final answer will be zero, we should still work through each step properly.

Q: What if the zero was in a different position, like 0×(4×9)?

The result would still be zero! The zero property works no matter where the zero appears in multiplication: $ 0\times(4\times9) = 0 $ and $ (4\times9)\times0 = 0 $.

Q: Is this the same as the additive identity?

No, that's different! The additive identity is about adding zero (like 5+0=5). This problem uses the multiplicative property of zero, where multiplying by zero gives zero.

Q: How can I remember the zero property?

Think of it this way: if you have zero groups of something, or you're taking something zero times, you end up with nothing! Zero times anything = zero.

Zero Property with Order of Operations

$(4\times9)\times0=$

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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

00:11 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

$(4\times9)\times0=$

Step-by-step solution

To solve this problem, we must understand the order of operations and the property of multiplication involving zero.

We'll solve this problem step-by-step:

Step 1: The expression given is $(4 \times 9) \times 0$ .
Step 2: First, multiply $4$ and $9$ :
$4 \times 9 = 36$
Step 3: Next, multiply the result, $36$ , by $0$ :
$36 \times 0 = 0$

According to the multiplication property of zero, any number multiplied by zero equals zero. Therefore, no matter the outcome of $4 \times 9$ , multiplying by $0$ results in $0$ .

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

Final Answer

Key Points to Remember

Essential concepts to master this topic

Zero Property: Any number multiplied by zero always equals zero
Technique: Calculate (4×9)=36 first, then 36×0=0
Check: Any multiplication expression containing zero equals zero ✓

Common Mistakes

Avoid these frequent errors

Ignoring the zero and calculating only the parentheses
Don't solve just (4×9)=36 and stop there! This ignores the ×0 part completely and gives the wrong answer of 36. Always complete all operations in the expression following order of operations.

Practice Quiz

Test your knowledge with interactive questions

$1\times1000=$

FAQ

Everything you need to know about this question

Does it matter what's inside the parentheses when multiplying by zero?

No, it doesn't matter at all! Whether it's $(4\times9)\times0$ or $(100\times50)\times0$ , the answer is always zero because of the zero property.

Why do we still need to calculate 4×9 if the answer will be zero anyway?

Great question! Following the order of operations is important for building good math habits. Even though we know the final answer will be zero, we should still work through each step properly.

What if the zero was in a different position, like 0×(4×9)?

The result would still be zero! The zero property works no matter where the zero appears in multiplication: $0\times(4\times9) = 0$ and $(4\times9)\times0 = 0$ .

Is this the same as the additive identity?

No, that's different! The additive identity is about adding zero (like 5+0=5). This problem uses the multiplicative property of zero, where multiplying by zero gives zero.

How can I remember the zero property?

Think of it this way: if you have zero groups of something, or you're taking something zero times, you end up with nothing! Zero times anything = zero.

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