Solve Division Equation: Finding the Missing Divisor in 60 ÷ ? = 60

Q: How do I remember when to use 1 as an answer?

Remember the identity property: dividing any number by 1 gives you the same number back. So whenever you see $ a ÷ ? = a $, the answer is always 1!

Q: What if I tried 0 as the answer?

Division by zero is undefined in mathematics! You can't divide 60 by 0, so 0 can never be the correct answer in a division equation like this.

Q: Could there be other numbers that work?

No! In this type of equation, there's exactly one correct answer. Only 1 makes $ 60 ÷ ? = 60 $ true because of the division identity property.

Q: How can I double-check my work?

Always substitute your answer back: $ 60 ÷ 1 = 60 $ ✓. Both sides equal 60, so you know 1 is correct!

Division Properties with Identity Operations

$60:?=60$

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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 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

$60:?=60$

Step-by-step solution

To solve this problem, we need to determine what number $(?)$ satisfies the equation $60:?=60$ .

Consider the given equation:
$\frac{60}{?} = 60$

According to the properties of division, dividing a number by 1 returns the number itself:
$\frac{a}{1} = a$ for any number $a$ .

Applying this principle to our equation:
- If $60 \div ? = 60$ , then $?$ must be 1, because:
$\frac{60}{1} = 60$

Therefore, the number that satisfies the equation is $1$ .

Thus, the correct choice is:

Final Answer

Key Points to Remember

Essential concepts to master this topic

Identity Rule: Any number divided by 1 equals itself
Technique: If $a \div x = a$ , then x must equal 1
Check: Substitute: $60 \div 1 = 60$ confirms our answer ✓

Common Mistakes

Avoid these frequent errors

Thinking the answer is 60 because it appears twice
Don't assume the missing number equals 60 just because 60 appears on both sides = wrong reasoning! This ignores how division actually works. Always think: what number makes $60 \div ? = 60$ true using division properties.

Practice Quiz

Test your knowledge with interactive questions

$1\times1000=$

FAQ

Everything you need to know about this question

Why isn't the answer 60 if I see 60 on both sides?

Great question! Just because 60 appears twice doesn't mean it's the missing number. Think about what division means: 60 ÷ 60 = 1, not 60! The division symbol changes everything.

How do I remember when to use 1 as an answer?

Remember the identity property: dividing any number by 1 gives you the same number back. So whenever you see $a ÷ ? = a$ , the answer is always 1!

What if I tried 0 as the answer?

Division by zero is undefined in mathematics! You can't divide 60 by 0, so 0 can never be the correct answer in a division equation like this.

Could there be other numbers that work?

No! In this type of equation, there's exactly one correct answer. Only 1 makes $60 ÷ ? = 60$ true because of the division identity property.

How can I double-check my work?

Always substitute your answer back: $60 ÷ 1 = 60$ ✓. Both sides equal 60, so you know 1 is correct!

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