Calculate the Product: Solving 6 × 1 Step by Step

Q: Why does any number times 1 equal the same number?

The number 1 is called the multiplicative identity because it doesn't change any number when multiplied. Think of it as taking 6 groups of 1 item each, which gives you 6 items total.

Q: Is this the same as 1 × 6?

Yes! Multiplication is commutative, meaning $ 6 \times 1 = 1 \times 6 = 6 $. The order doesn't matter - you get the same result either way.

Q: What about multiplying by 0?

That's different! Multiplying by 0 always gives 0, while multiplying by 1 always gives the original number. Don't confuse these two special cases.

Q: How is this different from adding 1?

Adding 1 means $ 6 + 1 = 7 $ (one more), but multiplying by 1 means $ 6 \times 1 = 6 $ (same amount). Addition changes the number, multiplication by 1 preserves it.

Q: Does this work with negative numbers too?

Absolutely! $ (-6) \times 1 = -6 $. The identity property works for all real numbers - positive, negative, fractions, and decimals.

Multiplication with Identity Property

What is the answer to the following exercise?

$6\cdot1=$

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Step-by-step video solution

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00:00 Solve

00:03 Positive times positive is always positive

00:09 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

What is the answer to the following exercise?

$6\cdot1=$

Step-by-step solution

Let's recall the law:

$(+x)\times(+x)=+x$

Therefore, the sign of the exercise result will be positive:

$+6\times+1=+6$

Final Answer

$6$

Key Points to Remember

Essential concepts to master this topic

Identity Rule: Any number multiplied by 1 equals itself
Technique: $6 \times 1 = 6$ because 1 is the multiplicative identity
Check: Verify that $6 \times 1 = 6$ using repeated addition: 6 taken 1 time = 6 ✓

Common Mistakes

Avoid these frequent errors

Confusing multiplication by 1 with addition
Don't think 6 × 1 means 6 + 1 = 7! This confuses multiplication with addition operations. Always remember that multiplying by 1 keeps the number unchanged, while adding 1 increases it.

Practice Quiz

Test your knowledge with interactive questions

What will be the sign of the result of the next exercise?

$(-2)\cdot(-4)=$

FAQ

Everything you need to know about this question

Why does any number times 1 equal the same number?

The number 1 is called the multiplicative identity because it doesn't change any number when multiplied. Think of it as taking 6 groups of 1 item each, which gives you 6 items total.

Is this the same as 1 × 6?

Yes! Multiplication is commutative, meaning $6 \times 1 = 1 \times 6 = 6$ . The order doesn't matter - you get the same result either way.

What about multiplying by 0?

That's different! Multiplying by 0 always gives 0, while multiplying by 1 always gives the original number. Don't confuse these two special cases.

How is this different from adding 1?

Adding 1 means $6 + 1 = 7$ (one more), but multiplying by 1 means $6 \times 1 = 6$ (same amount). Addition changes the number, multiplication by 1 preserves it.

Does this work with negative numbers too?

Absolutely! $(-6) \times 1 = -6$ . The identity property works for all real numbers - positive, negative, fractions, and decimals.

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