Solve (2×0)×300: Step-by-Step Multiplication Problem

Q: Why does any number times zero equal zero?

Think of multiplication as repeated addition. If you have 2 groups of 0 things, you still have 0 total things! This is the Zero Property of Multiplication - it works with any number.

Q: Do I really need to follow order of operations if there's a zero?

Yes, always! Order of operations (PEMDAS) must be followed even when zero is involved. Solve parentheses first: $ (2 \times 0) $, then multiply by 300.

Q: What if the zero was outside the parentheses like 0 × (2 × 300)?

The answer would still be 0! The Zero Property means that any expression multiplied by zero equals zero, no matter how complex the other part is.

Q: Could this problem ever equal 600?

No! Some students mistakenly calculate $ 2 \times 300 = 600 $ and ignore the zero. But with the zero inside parentheses, we must get 0 as our final answer.

Q: How can I remember the zero property?

Remember: "Zero times anything is zero!" It doesn't matter if you're multiplying by 1, 100, or 1,000,000 - zero multiplied by any number always gives you zero.

Zero Property with Order Operations

$(2\times0)\times300=$

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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 is always equal to 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

$(2\times0)\times300=$

Step-by-step solution

To solve this problem, we will apply the following steps:

Step 1: Evaluate the expression inside the parentheses, which is $2 \times 0$ .
Step 2: Multiply the result by 300.

Let's calculate:

Step 1: Calculate $2 \times 0 = 0$ .
Since any number multiplied by zero equals zero, the result of $2 \times 0$ is 0.

Step 2: Now, multiply the result from Step 1 by 300:
0 × 300 = 0

Hence, the entire expression $(2 \times 0) \times 300$ equals $0$ .

Therefore, 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: Solve parentheses first: $2 \times 0 = 0$ , then multiply
Check: Substitute result: $0 \times 300 = 0$ confirms our answer ✓

Common Mistakes

Avoid these frequent errors

Ignoring the zero and multiplying 2 × 300 first
Don't skip the parentheses and calculate 2 × 300 = 600! This ignores order of operations and the zero property. Always solve expressions inside parentheses first, then apply the zero property.

Practice Quiz

Test your knowledge with interactive questions

$1\times1000=$

FAQ

Everything you need to know about this question

Why does any number times zero equal zero?

Think of multiplication as repeated addition. If you have 2 groups of 0 things, you still have 0 total things! This is the Zero Property of Multiplication - it works with any number.

Do I really need to follow order of operations if there's a zero?

Yes, always! Order of operations (PEMDAS) must be followed even when zero is involved. Solve parentheses first: $(2 \times 0)$ , then multiply by 300.

What if the zero was outside the parentheses like 0 × (2 × 300)?

The answer would still be 0! The Zero Property means that any expression multiplied by zero equals zero, no matter how complex the other part is.

Could this problem ever equal 600?

No! Some students mistakenly calculate $2 \times 300 = 600$ and ignore the zero. But with the zero inside parentheses, we must get 0 as our final answer.

How can I remember the zero property?

Remember: "Zero times anything is zero!" It doesn't matter if you're multiplying by 1, 100, or 1,000,000 - zero multiplied by any number always gives you zero.

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