Solve (4×3)×7×0: Order of Operations with Zero Property

Q: Do I really need to calculate (4×3) first if there's a zero?

No! When you see zero anywhere in a multiplication problem, you can immediately write the answer as 0. The zero property saves you from doing unnecessary calculations.

Q: What if the zero is in the middle of the expression?

It doesn't matter where the zero appears! Whether it's $ 5 \times 0 \times 8 $ or $ 0 \times 3 \times 7 $, the answer is always 0.

Q: Does this work with negative numbers too?

Yes! Even $ (-5) \times 3 \times 0 \times (-2) = 0 $. The zero property works with any numbers, positive or negative.

Q: Why does anything times zero equal zero?

Think of multiplication as repeated addition. For example, $ 5 \times 0 $ means "add 5 zero times," which gives you nothing, or 0!

Q: What's the difference between 0×5 and 5×0?

There's no difference! Both equal 0. Multiplication is commutative, meaning the order doesn't matter: $ 0 \times 5 = 5 \times 0 = 0 $.

Multiplication with Zero Property

$(4\times3)\times7\times0=$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Solve

00:04 Always solve parentheses first

00:08 No matter how many factors are in the multiplication, if there is 0, the result is 0

00:12 Because any number multiplied by 0 always equals 0

00:24 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

$(4\times3)\times7\times0=$

Step-by-step solution

We will evaluate the expression $(4 \times 3) \times 7 \times 0$ by following these steps:

Step 1: Recognize the presence of 0 in the expression as a multiplier.
Step 2: Apply the zero multiplication property, which states that any value multiplied by 0 results in 0.

Let's evaluate the expression:

The expression is $(4 \times 3) \times 7 \times 0$ . Since there is a 0 involved in the multiplication, according to the zero property of multiplication, $(a) \times 0 = 0$ for any number $a$ . Therefore, the entire multiplication will equal 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: When 0 appears, stop calculating: $12 \times 7 \times 0 = 0$
Check: Look for zero first before doing any calculations ✓

Common Mistakes

Avoid these frequent errors

Calculating step-by-step without noticing zero first
Don't calculate (4×3) = 12, then 12×7 = 84, then 84×0 = 0! This wastes time and can lead to arithmetic errors along the way. Always scan for zero first and apply the zero property immediately.

Practice Quiz

Test your knowledge with interactive questions

$1\times1000=$

FAQ

Everything you need to know about this question

Do I really need to calculate (4×3) first if there's a zero?

No! When you see zero anywhere in a multiplication problem, you can immediately write the answer as 0. The zero property saves you from doing unnecessary calculations.

What if the zero is in the middle of the expression?

It doesn't matter where the zero appears! Whether it's $5 \times 0 \times 8$ or $0 \times 3 \times 7$ , the answer is always 0.

Does this work with negative numbers too?

Yes! Even $(-5) \times 3 \times 0 \times (-2) = 0$ . The zero property works with any numbers, positive or negative.

Why does anything times zero equal zero?

Think of multiplication as repeated addition. For example, $5 \times 0$ means "add 5 zero times," which gives you nothing, or 0!

What's the difference between 0×5 and 5×0?

There's no difference! Both equal 0. Multiplication is commutative, meaning the order doesn't matter: $0 \times 5 = 5 \times 0 = 0$ .

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