Solve the Equation: Finding the Missing Operator in 7?7=1

Q: How do I know which operation to try first?

It doesn't matter which order you try them! The key is to test all four basic operations systematically: addition, subtraction, multiplication, and division.

Q: What if none of the basic operations work?

For problems like this, one of the four basic operations (+, -, ×, ÷) will always work. Double-check your calculations if you think none work!

Q: What if I got confused between subtraction and division?

Calculate carefully: $ 7 - 7 = 0 $ (not 1), but $ 7 \div 7 = 1 $. Remember that subtraction gives the difference while division gives how many times one number fits into another.

Basic Operations with Division Equations

Choose the correct sign (?):

$7\text{?}7=1$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Determine which operation(s) are correct

00:03 Calculate each possibility and select the correct one(s)

00:07 A number divided by itself is always 1 - so this is the right operation!

00:12 Multiplication increases the value, so it isn’t the correct operation here

00:19 Since addition increases the number, it is definitely not the correct operation here

00:24 A number minus itself is always 0, so that’s not the right choice

00:28 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 (?):

$7\text{?}7=1$

Step-by-step solution

To solve this problem, let's evaluate which arithmetic operation or sign makes the equation $7 \text{?} 7 = 1$ true:

Addition: $7 + 7 = 14$ , which is not 1.
Subtraction: $7 - 7 = 0$ , which is not 1.
Multiplication: $7 \times 7 = 49$ , which is not 1.
Division: $7 \div 7 = 1$ , which satisfies the equation.

Therefore, the correct sign is the division sign. The equation becomes:

$7 \div 7 = 1$

Thus, the correct sign is :.

Final Answer

Key Points to Remember

Essential concepts to master this topic

Rule: Test each operation to find which gives the target result
Technique: Division gives $7 \div 7 = 1$ which matches our target
Check: Verify that $7 \div 7 = 1$ is the only true equation ✓

Common Mistakes

Avoid these frequent errors

Choosing the first operation that seems right
Don't just pick addition because it's easiest = $7 + 7 = 14$ which is wrong! This leads to incorrect answers because you haven't tested all possibilities. Always systematically check each operation: +, -, ×, ÷.

Practice Quiz

Test your knowledge with interactive questions

$1\times1000=$

FAQ

Everything you need to know about this question

How do I know which operation to try first?

It doesn't matter which order you try them! The key is to test all four basic operations systematically: addition, subtraction, multiplication, and division.

What if none of the basic operations work?

For problems like this, one of the four basic operations (+, -, ×, ÷) will always work. Double-check your calculations if you think none work!

Why does 7 ÷ 7 equal 1?

Any number divided by itself always equals 1! This is because division asks "how many groups?" - and 7 can be divided into exactly 1 group of 7.

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

Yes! The colon (:) is another way to write division, just like ÷. So $7:7$ means the same as $7 \div 7$ .

What if I got confused between subtraction and division?

Calculate carefully: $7 - 7 = 0$ (not 1), but $7 \div 7 = 1$ . Remember that subtraction gives the difference while division gives how many times one number fits into another.

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