Calculate the Product: Solving 6 × 1 × 2 Step by Step

Q: Why does multiplying by 1 not change the number?

The number 1 is called the multiplicative identity because it leaves every number unchanged. Think of it as taking 1 group of something - you still have the same amount!

Q: Does the order of multiplication matter?

No! Multiplication is commutative, so $ 6 \times 1 \times 2 $ gives the same result as $ 2 \times 6 \times 1 $ or any other arrangement.

Q: Should I multiply from left to right or right to left?

Either way works! You can go left to right: (6 × 1) × 2 = 6 × 2 = 12, or right to left: 6 × (1 × 2) = 6 × 2 = 12. Both give the same answer.

Q: What if there were more numbers to multiply?

The same rules apply! Work with two numbers at a time, and remember that multiplying by 1 anywhere in the chain won't change your final result.

Q: How can I check my multiplication is correct?

Try calculating in a different order, or use repeated addition: 6 × 2 means 6 + 6 = 12. You can also divide your answer by one of the original numbers to see if you get another original number back.

Multiplication Properties with Identity Element

$6\times1\times2=$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Solve

00:03 1 multiplied by any number is always equal to the number itself

00:07 Let's calculate the multiplications

00:12 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

$6\times1\times2=$

Step-by-step solution

To solve this problem, we'll follow these steps:

Step 1: Multiply the first two numbers, 6 and 1.
Step 2: Multiply the result from Step 1 by the third number, 2.

Now, let's work through each step:
Step 1: Multiply 6 by 1. Since 1 is the multiplicative identity, $6 \times 1 = 6$ .
Step 2: Multiply the result by 2. So, $6 \times 2 = 12$ .

Therefore, the solution to the problem $6 \times 1 \times 2$ is 12.

Final Answer

Key Points to Remember

Essential concepts to master this topic

Identity Rule: Any number multiplied by 1 equals itself
Technique: Calculate left to right: 6 × 1 = 6, then 6 × 2 = 12
Check: Verify by calculating right to left: 1 × 2 = 2, then 6 × 2 = 12 ✓

Common Mistakes

Avoid these frequent errors

Thinking multiplication by 1 changes the number
Don't think 6 × 1 = 6 + 1 = 7! This confuses addition with multiplication and gives wrong results like 9 instead of 12. Always remember that 1 is the multiplicative identity, so any number times 1 stays the same.

Practice Quiz

Test your knowledge with interactive questions

$1\times1000=$

FAQ

Everything you need to know about this question

Why does multiplying by 1 not change the number?

The number 1 is called the multiplicative identity because it leaves every number unchanged. Think of it as taking 1 group of something - you still have the same amount!

Does the order of multiplication matter?

No! Multiplication is commutative, so $6 \times 1 \times 2$ gives the same result as $2 \times 6 \times 1$ or any other arrangement.

Should I multiply from left to right or right to left?

Either way works! You can go left to right: (6 × 1) × 2 = 6 × 2 = 12, or right to left: 6 × (1 × 2) = 6 × 2 = 12. Both give the same answer.

What if there were more numbers to multiply?

The same rules apply! Work with two numbers at a time, and remember that multiplying by 1 anywhere in the chain won't change your final result.

How can I check my multiplication is correct?

Try calculating in a different order, or use repeated addition: 6 × 2 means 6 + 6 = 12. You can also divide your answer by one of the original numbers to see if you get another original number back.

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