Choose the Correct Operator: Solving 0?5=0

Q: Why doesn't 0 + 5 equal 0?

Addition means combining amounts. When you add 5 to 0, you get 5, not 0. Only division of zero by a non-zero number results in zero.

Q: What about 0 - 5? Doesn't that equal 0?

No! Subtraction means taking away. Since 0 - 5 means starting with 0 and taking away 5, you get -5, which is negative.

Q: Is the colon (:) the same as the division symbol?

Yes! The colon (:) is another way to write division, just like $ \div $ or the fraction bar. All three mean the same operation.

Q: What if I had 5 ÷ 0 instead?

That's undefined! You can never divide by zero in mathematics. Only zero divided by other numbers (like $ 0 \div 5 $) equals zero.

Q: How do I remember which operations work with zero?

Remember: Zero times anything = 0 and Zero divided by anything ≠ 0 = 0. But zero plus or minus other numbers changes the result!

Division Properties with Zero

Choose the appropriate sign:

$0?5=0$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Identify the correct mathematical sign

00:04 Any number plus 0 always equals the number itself

00:11 Any number minus 0 always equals the number itself

00:24 0 divided by any number always equals 0

00:29 This is the solution

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Choose the appropriate sign:

$0?5=0$

Step-by-step solution

To solve this problem, we need to determine which mathematical operation between 0 and 5 will result in 0:

Step 1: Consider addition $0 + 5 = 5$ , which does not equal 0.
Step 2: Consider subtraction $0 - 5 = -5$ , which does not equal 0.
Step 3: Division, $0 \div 5 = 0$ , which does equal 0.

Therefore, the appropriate sign to use between 0 and 5 to get 0 is the division sign, represented as $:$ .

Final Answer

Key Points to Remember

Essential concepts to master this topic

Zero Rule: Zero divided by any non-zero number equals zero
Technique: Test each operation: $0 \div 5 = 0$
Check: Verify the result satisfies the equation: $0 \div 5 = 0$ ✓

Common Mistakes

Avoid these frequent errors

Thinking all operations with zero give zero
Don't assume 0 + 5 = 0 or 0 - 5 = 0 = wrong results! Addition gives 5, subtraction gives -5. Always test each operation systematically to find which one produces the required result.

Practice Quiz

Test your knowledge with interactive questions

$1\times1000=$

FAQ

Everything you need to know about this question

Why doesn't 0 + 5 equal 0?

Addition means combining amounts. When you add 5 to 0, you get 5, not 0. Only division of zero by a non-zero number results in zero.

What about 0 - 5? Doesn't that equal 0?

No! Subtraction means taking away. Since 0 - 5 means starting with 0 and taking away 5, you get -5, which is negative.

Is the colon (:) the same as the division symbol?

Yes! The colon (:) is another way to write division, just like $\div$ or the fraction bar. All three mean the same operation.

What if I had 5 ÷ 0 instead?

That's undefined! You can never divide by zero in mathematics. Only zero divided by other numbers (like $0 \div 5$ ) equals zero.

How do I remember which operations work with zero?

Remember: Zero times anything = 0 and Zero divided by anything ≠ 0 = 0. But zero plus or minus other numbers changes the result!

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