Solve the Division Problem: Computing 99:99

Q: Why isn't the answer 99 or 0?

Division asks 'how many groups?' When you divide 99 by 99, you're asking how many groups of 99 fit into 99. The answer is exactly one group!

Q: Does this work for any number divided by itself?

Yes! Any non-zero number divided by itself equals 1. Try it: $ 5 \div 5 = 1 $, $ 100 \div 100 = 1 $, even $ 0.5 \div 0.5 = 1 $!

Q: What about 0 divided by 0?

Great question! $ 0 \div 0 $ is undefined in mathematics. The rule only works for non-zero numbers. Zero division creates special cases we avoid.

Q: Is this the same as canceling in fractions?

Exactly! $ \frac{99}{99} $ cancels to $ \frac{1}{1} = 1 $. Division and fractions are the same operation, just written differently.

Division Properties with Identical Numbers

$99:99=$

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Step-by-step video solution

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00:00 Solve

00:03 Any number divided by itself always equals 1

00:12 And this is the solution to the question

Step-by-step written solution

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Understand the problem

$99:99=$

Step-by-step solution

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

Step 1: Identify the given operation, which is $99 \div 99$ .
Step 2: Utilize the properties of division, specifically that a number divided by itself equals 1, provided the number is not zero.
Step 3: Apply this property to the given numbers.

Now, let's work through the solution:
Step 1: We have the division operation $99 \div 99$ .
Step 2: According to division properties, if a non-zero number is divided by itself, it results in 1. This is because the operation effectively counts how many times the divisor fits into the dividend, which in this case, is exactly once.
Step 3: Applying this understanding, $99 \div 99 = 1$ .

Therefore, the solution to the problem is $1$ .

Final Answer

Key Points to Remember

Essential concepts to master this topic

Rule: Any non-zero number divided by itself equals 1
Technique: Use the identity property: $99 \div 99 = 1$
Check: Verify by multiplication: $1 \times 99 = 99$ ✓

Common Mistakes

Avoid these frequent errors

Thinking the answer is 0 or the original number
Don't confuse division with subtraction or think 99÷99=99! This happens when students don't understand division as 'how many groups'. Always remember: any number divided by itself makes exactly 1 group.

Practice Quiz

Test your knowledge with interactive questions

$1\times1000=$

FAQ

Everything you need to know about this question

Why isn't the answer 99 or 0?

Division asks 'how many groups?' When you divide 99 by 99, you're asking how many groups of 99 fit into 99. The answer is exactly one group!

Does this work for any number divided by itself?

Yes! Any non-zero number divided by itself equals 1. Try it: $5 \div 5 = 1$ , $100 \div 100 = 1$ , even $0.5 \div 0.5 = 1$ !

What about 0 divided by 0?

Great question! $0 \div 0$ is undefined in mathematics. The rule only works for non-zero numbers. Zero division creates special cases we avoid.

How can I remember this rule?

Think of it like sharing: if you have 99 cookies and 99 people, each person gets 1 cookie. The number of cookies per person is always 1 when you divide equally!

Is this the same as canceling in fractions?

Exactly! $\frac{99}{99}$ cancels to $\frac{1}{1} = 1$ . Division and fractions are the same operation, just written differently.

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