Solve the Multiplication Equation: ? × 1 = 63

Q: Why is the answer 63 and not 1?

Great question! The Identity Property says that any number times 1 equals that same number. So if $ ? \times 1 = 63 $, then the missing number must be 63, not 1!

Q: How is this different from division?

This is a multiplication equation, not division! We're finding what number times 1 gives us 63. Since multiplying by 1 doesn't change a number, the answer is simply 63.

Q: What if the equation was ? × 2 = 63?

Then you'd need division! You'd solve $ ? = 63 ÷ 2 = 31.5 $. But with × 1, the Identity Property gives us the answer directly.

Q: Do I always get the same number when multiplying by 1?

Yes, always! This is called the Identity Property of Multiplication. Whether it's $ 5 \times 1 = 5 $ or $ 100 \times 1 = 100 $, multiplying by 1 never changes the original number.

Q: How do I remember this property?

Think of 1 as the "do nothing" number for multiplication! Just like adding 0 doesn't change a number, multiplying by 1 leaves everything exactly the same.

Identity Property with Missing Factors

$?\times1=63$

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Step-by-step video solution

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00:00 Find the missing value

00:05 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

Follow each step carefully to understand the complete solution

Understand the problem

$?\times1=63$

Step-by-step solution

We need to solve the equation $? \times 1 = 63$ . The number we are looking for is such that when multiplied by 1, it gives the product 63.

According to the Identity Property of Multiplication, any number multiplied by 1 is equal to the number itself. This can be expressed as $a \times 1 = a$ for any number $a$ .

Therefore, in the equation $? \times 1 = 63$ , the unknown number $?$ must be $63$ because:

Step 1: Use the Identity Property $a \times 1 = a$ .
Step 2: Substitute 63 for $a$ , since 63 is the result on the right side of the equation.
Step 3: Realize that the unknown number is $63$ , since multiplying 63 by 1 does not change its value.

Consequently, the correct answer is that $? = 63$ .

The solution to this equation is 63.

Final Answer

Key Points to Remember

Essential concepts to master this topic

Identity Property: Any number multiplied by 1 equals itself
Technique: Since $? \times 1 = 63$ , then $? = 63$
Check: Substitute back: $63 \times 1 = 63$ ✓

Common Mistakes

Avoid these frequent errors

Dividing 63 by 1 to find the answer
Don't think "63 ÷ 1 = 63" means you need to divide! This creates confusion about the operation. The Identity Property tells us directly that since anything times 1 equals itself, the missing number must be 63. Always recognize that $? \times 1 = 63$ means $? = 63$ .

Practice Quiz

Test your knowledge with interactive questions

$1\times1000=$

FAQ

Everything you need to know about this question

Why is the answer 63 and not 1?

Great question! The Identity Property says that any number times 1 equals that same number. So if $? \times 1 = 63$ , then the missing number must be 63, not 1!

How is this different from division?

This is a multiplication equation, not division! We're finding what number times 1 gives us 63. Since multiplying by 1 doesn't change a number, the answer is simply 63.

What if the equation was ? × 2 = 63?

Then you'd need division! You'd solve $? = 63 ÷ 2 = 31.5$ . But with × 1, the Identity Property gives us the answer directly.

Do I always get the same number when multiplying by 1?

Yes, always! This is called the Identity Property of Multiplication. Whether it's $5 \times 1 = 5$ or $100 \times 1 = 100$ , multiplying by 1 never changes the original number.

How do I remember this property?

Think of 1 as the "do nothing" number for multiplication! Just like adding 0 doesn't change a number, multiplying by 1 leaves everything exactly the same.

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