Solve the Multiplication Problem: 1 × 10 = ?

Q: Why does 1 times 10 equal 10 and not 1?

The Identity Property of Multiplication says that 1 times any number equals that number. Think of it as having 1 group of 10 objects - you still have 10 objects total!

Q: What if the numbers were switched to 10 × 1?

You'd get the same answer! Multiplication is commutative, meaning $ 1 \times 10 = 10 \times 1 = 10 $. The order doesn't matter.

Q: Is there a trick to remember this rule?

Yes! Think of the number 1 as an invisible multiplier. When you multiply by 1, you're not changing the quantity at all - just like multiplying by 'nothing' keeps everything the same!

Q: Does this work with bigger numbers too?

Absolutely! Whether it's $ 1 \times 100 $, $ 1 \times 573 $, or any number, multiplying by 1 always gives you the original number back.

Q: What's the difference between 1 × 10 and 1 + 10?

Great question! $ 1 \times 10 = 10 $ (multiplication keeps the 10), but $ 1 + 10 = 11 $ (addition combines them). Multiplication by 1 preserves the number, while addition with 1 increases it.

Identity Property with Single-Digit Factors

$1\times10=$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Solve

00:04 Any number multiplied by 1 is always equal to itself

00:08 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

$1\times10=$

Step-by-step solution

To solve this problem, we'll follow these steps:

Step 1: Identify the operation involved, which is multiplication.
Step 2: Recognize the numbers in the expression, which are 1 and 10.
Step 3: Apply the Identity Property of Multiplication: When multiplying any number by 1, the result is the number itself.

Let's proceed with these steps:

Step 1: We have the multiplication expression $1 \times 10$ .

Step 2: The expression includes the numbers 1 and 10.

Step 3: Use the Identity Property of Multiplication, which states that:

$a \times 1 = a$

Applying this to our expression:

$1 \times 10 = 10$

Hence, the solution to the problem is $10$ .

Final Answer

Key Points to Remember

Essential concepts to master this topic

Identity Rule: Any number multiplied by 1 equals the number itself
Method: Recognize that $1 \times 10 = 10$ directly
Check: Verify by counting: 1 group of 10 objects equals 10 total ✓

Common Mistakes

Avoid these frequent errors

Confusing multiplication with addition
Don't think 1 × 10 = 11 like addition! This happens when students mix up operations and get 1 + 10 instead. Always remember: multiplication by 1 keeps the number unchanged, while addition changes it.

Practice Quiz

Test your knowledge with interactive questions

$1\times1000=$

FAQ

Everything you need to know about this question

Why does 1 times 10 equal 10 and not 1?

The Identity Property of Multiplication says that 1 times any number equals that number. Think of it as having 1 group of 10 objects - you still have 10 objects total!

What if the numbers were switched to 10 × 1?

You'd get the same answer! Multiplication is commutative, meaning $1 \times 10 = 10 \times 1 = 10$ . The order doesn't matter.

Is there a trick to remember this rule?

Yes! Think of the number 1 as an invisible multiplier. When you multiply by 1, you're not changing the quantity at all - just like multiplying by 'nothing' keeps everything the same!

Does this work with bigger numbers too?

Absolutely! Whether it's $1 \times 100$ , $1 \times 573$ , or any number, multiplying by 1 always gives you the original number back.

What's the difference between 1 × 10 and 1 + 10?

Great question! $1 \times 10 = 10$ (multiplication keeps the 10), but $1 + 10 = 11$ (addition combines them). Multiplication by 1 preserves the number, while addition with 1 increases it.

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