Solve the Multiplication Equation: Find the Missing Factor in ?×10=10

Q: Why isn't the answer 10 since 10 appears twice?

This is a multiplication equation, not addition! We need a number that when multiplied by 10 gives 10. Only 1 × 10 = 10, not 10 × 10 = 10.

Q: How do I remember to divide instead of subtract?

Look at the operation sign in the equation. If you see ×, use division to solve. If you see +, use subtraction. The operations are opposites of each other!

Q: What if the missing number was on the right side?

It doesn't matter! Multiplication is commutative, meaning 10 × ? = 10 gives the same answer as ? × 10 = 10. Both equal 1.

Q: Can zero ever be the answer to a multiplication equation?

Yes, but only when the product equals zero! Since ? × 10 = 10 (not zero), the answer cannot be 0. Zero times any number always equals zero.

Multiplicative Identity with Division Method

$?\times10=10$

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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

00:09 And this is the solution to the question

Step-by-step written solution

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Understand the problem

$?\times10=10$

Step-by-step solution

To solve this problem, we need to determine the unknown number that, when multiplied by 10, results in the product 10.

The multiplication equation given is:

$x \times 10 = 10$

To find $x$ , we can manipulate the equation as follows:

Divide both sides of the equation by 10 to isolate $x$ .
$x = \frac{10}{10}$
Calculate the division: $\frac{10}{10} = 1$

Thus, the number that satisfies the equation $x \times 10 = 10$ is $x = 1$ .

Therefore, the correct answer is 1.

Final Answer

Key Points to Remember

Essential concepts to master this topic

Identity Property: Any number multiplied by 1 equals itself
Technique: Divide both sides by 10: $\frac{10}{10} = 1$
Check: Substitute back into original equation: 1 × 10 = 10 ✓

Common Mistakes

Avoid these frequent errors

Confusing multiplication with addition
Don't think ? + 10 = 10 so ? = 0! This confuses addition with multiplication and gives the wrong answer. Always identify the operation first: since we have × (multiplication), use division to solve.

Practice Quiz

Test your knowledge with interactive questions

$1\times1000=$

FAQ

Everything you need to know about this question

Why isn't the answer 10 since 10 appears twice?

This is a multiplication equation, not addition! We need a number that when multiplied by 10 gives 10. Only 1 × 10 = 10, not 10 × 10 = 10.

How do I remember to divide instead of subtract?

Look at the operation sign in the equation. If you see ×, use division to solve. If you see +, use subtraction. The operations are opposites of each other!

What if the missing number was on the right side?

It doesn't matter! Multiplication is commutative, meaning 10 × ? = 10 gives the same answer as ? × 10 = 10. Both equal 1.

Can zero ever be the answer to a multiplication equation?

Yes, but only when the product equals zero! Since ? × 10 = 10 (not zero), the answer cannot be 0. Zero times any number always equals zero.

How can I check my work without a calculator?

Simply substitute your answer back: if you think the answer is 1, check that 1 × 10 = 10. This basic multiplication fact confirms your answer is correct!

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