Solve the Division Equation: Finding the Number That Equals 1 When Divided by 100

Q: Why isn't the answer 1 since that's what we get after dividing?

Great question! The 1 is the result of the division, not the unknown number. We need to find what number, when divided by 100, gives us 1 as the answer.

Q: How do I remember this division rule?

Think of it this way: "What divided by 100 equals 1?" The only number that works is 100 itself, because any number divided by itself always equals 1!

Q: Can I solve this by multiplying both sides?

Yes! You can multiply both sides by 100: $ x ÷ 100 = 1 $ becomes $ x = 1 × 100 = 100 $. This is a reliable method for solving division equations.

Q: What if the divisor was a different number?

The same rule applies! If $ x ÷ 50 = 1 $, then x = 50. If $ x ÷ 25 = 1 $, then x = 25. The unknown always equals the divisor when the result is 1.

Division Properties with Identity Results

$?:100=1$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Find the unknown

00:04 Any number divided by itself always equals 1

00:12 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

$?:100=1$

Step-by-step solution

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

Step 1: Write down the given equation: $x \div 100 = 1$ .
Step 2: Recall that when a number divided by another equals 1, the number is equal to the divisor.
Step 3: Set $x = 100$ , as dividing 100 by 100 is 1.

Now, let's work through each step:
Step 1: The unknown number $x$ divided by 100 gives 1. This is expressed as $\frac{x}{100} = 1$ .
Step 2: Since division by a number resulting in 1 means both numbers are equal, it implies $x = 100$ .
Step 3: Therefore, the solution to the problem is that the unknown number is 100.

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

Final Answer

100

Key Points to Remember

Essential concepts to master this topic

Division Rule: When x ÷ a = 1, then x must equal a
Technique: Multiply both sides by divisor: x = 1 × 100 = 100
Check: Substitute answer back: 100 ÷ 100 = 1 ✓

Common Mistakes

Avoid these frequent errors

Thinking the answer is 1 because 1 appears in the equation
Don't assume the unknown equals 1 just because you see 1 in the equation = wrong answer of 1! This confuses the result with the unknown value. Always solve by finding what number divided by 100 gives you 1.

Practice Quiz

Test your knowledge with interactive questions

$1\times1000=$

FAQ

Everything you need to know about this question

Why isn't the answer 1 since that's what we get after dividing?

Great question! The 1 is the result of the division, not the unknown number. We need to find what number, when divided by 100, gives us 1 as the answer.

How do I remember this division rule?

Think of it this way: "What divided by 100 equals 1?" The only number that works is 100 itself, because any number divided by itself always equals 1!

Can I solve this by multiplying both sides?

Yes! You can multiply both sides by 100: $x ÷ 100 = 1$ becomes $x = 1 × 100 = 100$ . This is a reliable method for solving division equations.

What if the divisor was a different number?

The same rule applies! If $x ÷ 50 = 1$ , then x = 50. If $x ÷ 25 = 1$ , then x = 25. The unknown always equals the divisor when the result is 1.

How can I check my answer quickly?

Just do the division! Take your answer and divide it by the given number. If you get 1, you're correct. For example: 100 ÷ 100 = 1 ✓

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