Find the Missing Operator: Solving 7?7=0

Q: Why doesn't addition work here?

Addition combines values, so $ 7 + 7 = 14 $, which is much larger than our target of 0. Addition makes numbers bigger, not zero!

Q: When would I get zero from other operations?

You get zero from subtraction when numbers are equal, from multiplication when one number is zero, or from special cases in division (like 0 ÷ 5 = 0).

Q: What if the numbers were different?

If you had something like $ 5 ? 3 = 0 $, none of the basic operations would work! You'd need 5 - 5 = 0, so one number would have to change.

Q: Is there a pattern for getting zero?

Yes! For identical numbers: subtraction gives 0, division gives 1, addition doubles the number, and multiplication squares it. Remember this pattern!

Q: How do I approach these problems step by step?

Step 1: Try each operation one at a timeStep 2: Calculate the result for eachStep 3: Compare with the target numberStep 4: Choose the operation that matches!

Basic Operations with Zero Results

Choose the correct sign (?):

$7\text{?}7=0$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Determine the correct operator to complete the equation

00:03 Calculate each possibility and select the correct one

00:07 Adding means increasing the number, so it's definitely not compatible

00:18 Multiplying the number means increasing it, so it's not compatible

00:29 Any number minus itself always equals 0, appropriate

00:37 Any number divided by itself always equals 1, so it's not appropriate

00:47 This is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Choose the correct sign (?):

$7\text{?}7=0$

Step-by-step solution

Let's evaluate each option:

Addition: $7 + 7 = 14$
Subtraction: $7 - 7 = 0$
Multiplication: $7 \times 7 = 49$
Division: $7 \div 7 = 1$

Given we want the result to be 0, the operation that satisfies this condition is subtraction.

Therefore, the correct operation between the two 7s to equal 0 is $-$ .

Final Answer

Key Points to Remember

Essential concepts to master this topic

Rule: When identical numbers combine to equal zero, use subtraction
Technique: Test each operation: $7 - 7 = 0$ works
Check: Verify by calculating: $7 - 7 = 0$ gives the target result ✓

Common Mistakes

Avoid these frequent errors

Choosing multiplication because both numbers are the same
Don't assume multiplication works just because the numbers match = $7 \times 7 = 49$ , not 0! Students often think identical numbers should be multiplied. 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 addition work here?

Addition combines values, so $7 + 7 = 14$ , which is much larger than our target of 0. Addition makes numbers bigger, not zero!

When would I get zero from other operations?

You get zero from subtraction when numbers are equal, from multiplication when one number is zero, or from special cases in division (like 0 ÷ 5 = 0).

What if the numbers were different?

If you had something like $5 ? 3 = 0$ , none of the basic operations would work! You'd need 5 - 5 = 0, so one number would have to change.

Is there a pattern for getting zero?

Yes! For identical numbers: subtraction gives 0, division gives 1, addition doubles the number, and multiplication squares it. Remember this pattern!

How do I approach these problems step by step?

Step 1: Try each operation one at a time
Step 2: Calculate the result for each
Step 3: Compare with the target number
Step 4: Choose the operation that matches!

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