Solve the Basic Multiplication: 100 × 1 Step by Step

Q: Why doesn't 100 × 1 make a bigger number?

Great question! The number 1 is special in multiplication - it's called the multiplicative identity. When you multiply any number by 1, you get the same number back. Think of it as having 100 groups of 1 item each, which gives you 100 items total.

Q: Is this the same as 1 × 100?

Yes! Multiplication is commutative, which means the order doesn't matter. Both $ 100 \times 1 $ and $ 1 \times 100 $ equal 100.

Q: What makes 1 different from other numbers in multiplication?

The number 1 is the multiplicative identity - it's the only number that doesn't change other numbers when you multiply. For example: $ 5 \times 1 = 5 $, $ 237 \times 1 = 237 $, and so on!

Q: How can I remember this rule?

Think of multiplication as repeated addition. When you do $ 100 \times 1 $, you're adding 100 to itself just 1 time, so you get 100. Or remember: "One times anything leaves it alone!"

Q: Does this work with negative numbers too?

Absolutely! The identity property works with all numbers. For example: $ (-50) \times 1 = -50 $ and $ 0 \times 1 = 0 $.

Identity Property with Single Multiplication

$100\times1=$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

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

Follow each step carefully to understand the complete solution

Understand the problem

$100\times1=$

Step-by-step solution

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

Step 1: Identify the numbers being multiplied: 100 and 1.
Step 2: Recall and use the identity property of multiplication: $a \times 1 = a$ .
Step 3: Apply this property to the given expression.

Now, let's work through each step:
Step 1: We see that the expression given is $100 \times 1$ .
Step 2: The identity property of multiplication tells us that any number multiplied by 1 remains unchanged. This property can be written as $a \times 1 = a$ .
Step 3: Applying this property, we realize that $100 \times 1 = 100$ .

Therefore, the solution to the problem is $100$ .

Final Answer

100

Key Points to Remember

Essential concepts to master this topic

Identity Rule: Any number multiplied by 1 equals the original number
Technique: Apply $a \times 1 = a$ , so $100 \times 1 = 100$
Check: Verify that 1 is the multiplicative identity: $100 \times 1 = 100$ ✓

Common Mistakes

Avoid these frequent errors

Thinking multiplication always makes numbers bigger
Don't assume 100 × 1 = 101 or some larger number! Multiplying by 1 is special - it never changes the original number. Always remember the identity property: any number times 1 stays exactly the same.

Practice Quiz

Test your knowledge with interactive questions

$1\times1000=$

FAQ

Everything you need to know about this question

Why doesn't 100 × 1 make a bigger number?

Great question! The number 1 is special in multiplication - it's called the multiplicative identity. When you multiply any number by 1, you get the same number back. Think of it as having 100 groups of 1 item each, which gives you 100 items total.

Is this the same as 1 × 100?

Yes! Multiplication is commutative, which means the order doesn't matter. Both $100 \times 1$ and $1 \times 100$ equal 100.

What makes 1 different from other numbers in multiplication?

The number 1 is the multiplicative identity - it's the only number that doesn't change other numbers when you multiply. For example: $5 \times 1 = 5$ , $237 \times 1 = 237$ , and so on!

How can I remember this rule?

Think of multiplication as repeated addition. When you do $100 \times 1$ , you're adding 100 to itself just 1 time, so you get 100. Or remember: "One times anything leaves it alone!"

Does this work with negative numbers too?

Absolutely! The identity property works with all numbers. For example: $(-50) \times 1 = -50$ and $0 \times 1 = 0$ .

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