Solve the Division Equation: Finding the Number That Gives 55÷?=1

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

Great question! The 1 is the result of the division, not the missing number. We need to find what number, when divided by 55, gives us 1 as the answer.

Q: How do I remember which number goes where in division?

Think of it like sharing: dividend ÷ divisor = quotient. If you have 55 items to share equally into groups and end up with 1 item per group, you must have had 55 groups!

Q: What happens if I divide by 0?

Never divide by zero! Division by zero is undefined in mathematics. It doesn't give you any meaningful answer and will cause errors in calculations.

Division Properties with Identity Values

$?:55=1$

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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

00:09 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

$?:55=1$

Step-by-step solution

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

Step 1: Identify the mathematical operation involved, which is division.
Step 2: Recognize the property that dividing a number by itself results in 1, assuming the number is non-zero.
Step 3: Apply this property to find the missing number.

Now, let's work through each step:
Step 1: The problem sets up a division where $\frac{x}{55} = 1$ .
Step 2: According to the property of division, we know $x$ must be 55 because dividing 55 by 55 equals 1.
Step 3: Hence, the number we are looking for is $x = 55$ .

In conclusion, the solution to the problem is $x = 55$ .

Final Answer

Key Points to Remember

Essential concepts to master this topic

Rule: Any non-zero number divided by itself equals 1
Technique: If $\frac{x}{55} = 1$ , then x must equal 55
Check: Substitute back: $\frac{55}{55} = 1$ ✓

Common Mistakes

Avoid these frequent errors

Thinking the answer is 1 because it's the result
Don't confuse the quotient (result) with the dividend! $\frac{1}{55} ≠ 1$ - this gives a tiny decimal. The quotient tells us what we get after dividing, not what number we're dividing. Always remember: dividend ÷ divisor = quotient.

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?

Great question! The 1 is the result of the division, not the missing number. We need to find what number, when divided by 55, gives us 1 as the answer.

How do I remember which number goes where in division?

Think of it like sharing: dividend ÷ divisor = quotient. If you have 55 items to share equally into groups and end up with 1 item per group, you must have had 55 groups!

What if the problem was written as 55 ÷ ? = 1?

Same concept! You're looking for the number that 55 gets divided by to equal 1. Since $55 ÷ 55 = 1$ , the answer is still 55.

Does this work with any number?

Yes! Any non-zero number divided by itself always equals 1. So $\frac{7}{7} = 1$ , $\frac{100}{100} = 1$ , etc. This is called the identity property of division.

What happens if I divide by 0?

Never divide by zero! Division by zero is undefined in mathematics. It doesn't give you any meaningful answer and will cause errors in calculations.

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