Solve the Multiplication Equation: 27 × ? = 27

Q: Why isn't the answer 27 since 27 appears on both sides?

Great observation! But remember that multiplication is different from addition. While $ 27 + 0 = 27 $, for multiplication we need $ 27 \times 1 = 27 $.

Q: What is the identity property of multiplication?

The identity property means multiplying by 1 doesn't change a number. Think of it like this: 1 is the "do nothing" number for multiplication - just like 0 is for addition!

Q: How do I solve equations like this quickly?

Ask yourself: "What number times the first number gives me the answer?" For $ 27 \times ? = 27 $, think "What times 27 equals 27?" The answer is always 1!

Q: Will this work with any number, not just 27?

Absolutely! For any number n, we have $ n \times 1 = n $. Try it: $ 5 \times 1 = 5 $, $ 100 \times 1 = 100 $, even $ 0.5 \times 1 = 0.5 $!

Q: What if the equation was 27 × ? = 54 instead?

Then you'd need to think: "What times 27 equals 54?" Since $ 27 \times 2 = 54 $, the answer would be 2. The identity property only applies when the product equals the original number.

Identity Property with Multiplication Equations

$27\times?=27$

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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

00:10 And this is the solution to the question

Step-by-step written solution

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Understand the problem

$27\times?=27$

Step-by-step solution

To solve this problem, we'll apply the identity property of multiplication, which states that any number multiplied by 1 remains unchanged.

Let's explore this property in the given context:
We have the equation $27 \times ? = 27$ .
According to the identity property, for the product to remain 27, the missing number must be 1, because $27 \times 1 = 27$ .

Thus, the solution to the problem is to identify $?$ as 1.

Therefore, the solution to the problem is $1$ .

Final Answer

Key Points to Remember

Essential concepts to master this topic

Identity Property: Any number multiplied by 1 equals itself unchanged
Technique: For $27 \times ? = 27$ , the missing factor must be 1
Check: Substitute back: $27 \times 1 = 27$ ✓

Common Mistakes

Avoid these frequent errors

Choosing the same number that appears in the equation
Don't automatically pick 27 because it appears twice = $27 \times 27 = 729$ , not 27! This happens when students match numbers without thinking about multiplication. Always ask: what times 27 gives me 27?

Practice Quiz

Test your knowledge with interactive questions

$1\times1000=$

FAQ

Everything you need to know about this question

Why isn't the answer 27 since 27 appears on both sides?

Great observation! But remember that multiplication is different from addition. While $27 + 0 = 27$ , for multiplication we need $27 \times 1 = 27$ .

What is the identity property of multiplication?

The identity property means multiplying by 1 doesn't change a number. Think of it like this: 1 is the "do nothing" number for multiplication - just like 0 is for addition!

How do I solve equations like this quickly?

Ask yourself: "What number times the first number gives me the answer?" For $27 \times ? = 27$ , think "What times 27 equals 27?" The answer is always 1!

Will this work with any number, not just 27?

Absolutely! For any number n, we have $n \times 1 = n$ . Try it: $5 \times 1 = 5$ , $100 \times 1 = 100$ , even $0.5 \times 1 = 0.5$ !

What if the equation was 27 × ? = 54 instead?

Then you'd need to think: "What times 27 equals 54?" Since $27 \times 2 = 54$ , the answer would be 2. The identity property only applies when the product equals the original number.

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