Solve for the Missing Divisor: 203 ÷ ? = 1

Division Properties with Identity Results

203:?=1 203:?=1

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Step-by-step video solution

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00:00 Find the unknown
00:04 Any number divided by itself always equals 1
00:11 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

203:?=1 203:?=1

2

Step-by-step solution

To solve this problem, we will use the concept of dividing a number by itself to achieve a result of 1 1 . The given equation is:

203:?=1 203: ? = 1

According to the division property, a number divided by itself is 1 1 . Therefore, for the equation 203:?=1 203:? = 1 to hold true, the unknown ? ? must equal 203 203 . This is because:

203÷203=1 203 \div 203 = 1

Now, considering the multiple-choice options provided:

  • Choice 1: 0 0 - Division by zero is undefined.
  • Choice 2: 1 1 - This would result in 203÷1=203 203 \div 1 = 203 , not 1 1 .
  • Choice 3: 200 200 - This would result in 203÷2001 203 \div 200 \neq 1 .
  • Choice 4: 203 203 - Correctly results in 203÷203=1 203 \div 203 = 1 .

Therefore, the correct answer is that the value of the unknown ? ? is 203 203 , corresponding to Choice 4.

Through this analysis, we conclude that the correct answer to the problem is indeed 203 203 .

3

Final Answer

203

Key Points to Remember

Essential concepts to master this topic
  • Identity Rule: Any number divided by itself always equals 1
  • Technique: For a ÷ ? = 1, the unknown equals the dividend
  • Check: Substitute back: 203 ÷ 203 = 1 ✓

Common Mistakes

Avoid these frequent errors
  • Confusing division by 1 with division resulting in 1
    Don't think 203 ÷ 1 = 1 when solving for the divisor! This gives 203, not 1. The question asks what divides 203 to get 1. Always remember: a number divided by itself equals 1, so 203 ÷ 203 = 1.

Practice Quiz

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\( 1\times1000= \)

FAQ

Everything you need to know about this question

Why isn't the answer 1 since 203 ÷ 1 = 203?

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Great question! You're thinking of 203 ÷ 1 = 203, but we need the result to be 1, not 203. When we want any number divided by something to equal 1, that 'something' must be the original number itself.

What happens if I choose 0 as the divisor?

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Division by zero is undefined in mathematics! You can never divide any number by 0. It doesn't give you 1 or any other number - it simply has no mathematical meaning.

How do I remember when division equals 1?

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Think of it this way: 'How many groups of 203 can I make from 203 items?' The answer is exactly 1 group! So 203÷203=1 203 ÷ 203 = 1 .

Does this work with any number?

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Yes! Any non-zero number divided by itself equals 1. Whether it's 5÷5=1 5 ÷ 5 = 1 , 100÷100=1 100 ÷ 100 = 1 , or 203÷203=1 203 ÷ 203 = 1 , the pattern is always the same.

Why is 200 wrong as an answer?

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Let's check: 203÷200=1.015 203 ÷ 200 = 1.015 , which is not equal to 1. Only when the divisor exactly matches the dividend (203) do we get the result of 1.

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