Solve the Multiplication Problem: 4×6×1 Step-by-Step

Q: Why isn't the answer 1 since we're multiplying by 1?

Great question! The identity property means multiplying by 1 doesn't change a number, but we first need to multiply $ 4 \times 6 = 24 $. Then $ 24 \times 1 = 24 $.

Q: Does the order of multiplication matter?

No! The commutative property means you can multiply in any order. Whether you do $ 4 \times 6 \times 1 $ or $ 1 \times 4 \times 6 $, you'll get the same answer: 24.

Q: How can I check my work without a calculator?

Think of it as repeated addition: $ 4 \times 6 $ means adding 4 six times: 4 + 4 + 4 + 4 + 4 + 4 = 24. Then $ 24 \times 1 $ is just 24 once!

Basic Multiplication with Identity Property

$4\times6\times1=$

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Step-by-step video solution

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00:00 Solve

00:03 Let's calculate the multiplications

00:10 1 multiplied by any number always equals the number itself

00:14 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

$4\times6\times1=$

Step-by-step solution

To solve this problem, we need to multiply three numbers: $4$ , $6$ , and $1$ .

Let's follow these steps:

Step 1: Start by multiplying the first two numbers:
$4 \times 6 = 24$
Step 2: Now multiply the result by the third number, which is $1$ :
$24 \times 1 = 24$

We apply the identity property of multiplication, which states that any number multiplied by $1$ remains unchanged. Therefore, $24 \times 1$ is simply $24$ .

Thus, the product of $4 \times 6 \times 1$ is $24$ .

Final Answer

Key Points to Remember

Essential concepts to master this topic

Identity Property: Any number multiplied by 1 equals itself
Technique: Work left to right: 4 × 6 = 24, then 24 × 1 = 24
Check: Verify by counting: 4 groups of 6 ones = 24 ✓

Common Mistakes

Avoid these frequent errors

Thinking the answer is 1 because 1 is in the problem
Don't assume the answer is 1 just because you see a 1 in the multiplication = wrong result of 1 instead of 24! The 1 doesn't make everything equal to 1; it leaves other numbers unchanged. Always multiply step by step from left to right.

Practice Quiz

Test your knowledge with interactive questions

$1\times1000=$

FAQ

Everything you need to know about this question

Why isn't the answer 1 since we're multiplying by 1?

Great question! The identity property means multiplying by 1 doesn't change a number, but we first need to multiply $4 \times 6 = 24$ . Then $24 \times 1 = 24$ .

Does the order of multiplication matter?

No! The commutative property means you can multiply in any order. Whether you do $4 \times 6 \times 1$ or $1 \times 4 \times 6$ , you'll get the same answer: 24.

What if there were more numbers to multiply?

Just keep going! Multiply two numbers at a time, then multiply that result by the next number. The associative property means the grouping doesn't change your final answer.

How can I check my work without a calculator?

Think of it as repeated addition: $4 \times 6$ means adding 4 six times: 4 + 4 + 4 + 4 + 4 + 4 = 24. Then $24 \times 1$ is just 24 once!

Why do we multiply from left to right?

It's easier to follow! While the answer is the same regardless of order, working systematically from left to right helps you stay organized and avoid mistakes in longer problems.

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