Solve the Multiplication Equation: 1 × ? = 27

Q: Why is the answer 27 and not 1?

The identity property tells us that 1 times any number equals that same number. So if $ 1 \times ? = 27 $, the unknown must be 27!

Q: Do I need to do any calculations?

No calculations needed! The identity property makes this direct. When you see $ 1 \times \text{something} = 27 $, that something is automatically 27.

Q: What if the equation was 2 × ? = 27?

Then you'd need to divide both sides by 2 to get ? = 13.5. But with 1 as the multiplier, the identity property gives us the answer instantly!

Q: How do I remember the identity property?

Think of it as "1 doesn't change anything" - multiplying by 1 leaves numbers exactly as they are. So $ 1 \times 5 = 5 $, $ 1 \times 100 = 100 $, etc.

Q: Is this the same as dividing by 1?

Yes! Both multiplying by 1 and dividing by 1 leave numbers unchanged. This is why 1 is called the multiplicative identity.

Identity Property with Multiplication Equations

$1\times?=27$

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Step-by-step video solution

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00:00 Solve

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

00:11 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

$1\times?=27$

Step-by-step solution

To solve this problem, let's apply the identity property of multiplication:

The equation given is $1 \times ? = 27$ .
According to the identity property, multiplying any number by 1 gives the number itself.
Therefore, the unknown value must be such that $1 \times \text{unknown} = 27$ .
By the property, this implies the unknown is directly equal to 27.

Upon assessing the given options, the correct choice wherein this condition holds true is:

Choice 3: $27$

This confirms that the solution to the problem is $27$ .

Final Answer

Key Points to Remember

Essential concepts to master this topic

Identity Property: Any number multiplied by 1 equals itself
Technique: If $1 \times ? = 27$ , then ? = 27
Check: Substitute back: $1 \times 27 = 27$ ✓

Common Mistakes

Avoid these frequent errors

Trying to divide both sides by 1
Don't divide 27 by 1 thinking you need to isolate the unknown = unnecessary step! The identity property already tells us what multiplied by 1 equals 27. Always recognize that 1 × ? = 27 means ? must equal 27 directly.

Practice Quiz

Test your knowledge with interactive questions

$1\times1000=$

FAQ

Everything you need to know about this question

Why is the answer 27 and not 1?

The identity property tells us that 1 times any number equals that same number. So if $1 \times ? = 27$ , the unknown must be 27!

Do I need to do any calculations?

No calculations needed! The identity property makes this direct. When you see $1 \times \text{something} = 27$ , that something is automatically 27.

What if the equation was 2 × ? = 27?

Then you'd need to divide both sides by 2 to get ? = 13.5. But with 1 as the multiplier, the identity property gives us the answer instantly!

How do I remember the identity property?

Think of it as "1 doesn't change anything" - multiplying by 1 leaves numbers exactly as they are. So $1 \times 5 = 5$ , $1 \times 100 = 100$ , etc.

Is this the same as dividing by 1?

Yes! Both multiplying by 1 and dividing by 1 leave numbers unchanged. This is why 1 is called the multiplicative identity.

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