Solve the Addition Equation: 2346 + □ = 2646

Q: Why do I subtract instead of add to find the missing number?

Think of it like a puzzle! If you know the total and one piece, you subtract that piece from the total to find what's missing. Addition gives you more than the total, which can't be right.

Q: How can I check if my answer is correct?

Always add your answer to the first number. If you get the sum from the original equation, you're right! For example: $ 2346 + 300 = 2646 $ ✓

Q: What if I get confused about which number to subtract from which?

Remember: subtract the smaller number from the larger number. In $ 2346 + \Box = 2646 $, subtract 2346 from 2646 since 2646 is the total.

Q: Can I solve this problem a different way?

You can also think of it as counting up! Start at 2346 and count how much you need to add to reach 2646. But subtraction is usually faster and more reliable.

Missing Addend with Multi-digit Numbers

Complete the following equation:

$2346+\Box=2646$

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Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Complete the following equation:

$2346+\Box=2646$

Step-by-step solution

To complete the equation $2346 + \Box = 2646$ , we need to determine the value of the box, which represents the number needed to add to 2346 to yield 2646.

Step 1: Set up the equation to solve for the missing number: $\Box = 2646 - 2346$ .
Step 2: Subtract 2346 from 2646.

Performing the subtraction gives:

$2646 - 2346 = 300$

Therefore, the missing number is 300.

From the given choices, the correct answer is $300$ , which corresponds to Choice 2.

Thus, the value that completes the equation is $\Box = 300$ .

Final Answer

$300$

Key Points to Remember

Essential concepts to master this topic

Rule: To find missing addend, subtract first number from sum
Technique: Use subtraction: $2646 - 2346 = 300$
Check: Verify by adding back: $2346 + 300 = 2646$ ✓

Common Mistakes

Avoid these frequent errors

Adding the two known numbers together
Don't add 2346 + 2646 = 4992! This gives you double the sum instead of the missing number. Always subtract the known addend from the sum to find the missing addend.

Practice Quiz

Test your knowledge with interactive questions

Solve the exercise using the structure table below:

$$ 5896+1256= $$

FAQ

Everything you need to know about this question

Why do I subtract instead of add to find the missing number?

Think of it like a puzzle! If you know the total and one piece, you subtract that piece from the total to find what's missing. Addition gives you more than the total, which can't be right.

How can I check if my answer is correct?

Always add your answer to the first number. If you get the sum from the original equation, you're right! For example: $2346 + 300 = 2646$ ✓

What if I get confused about which number to subtract from which?

Remember: subtract the smaller number from the larger number. In $2346 + \Box = 2646$ , subtract 2346 from 2646 since 2646 is the total.

Can I solve this problem a different way?

You can also think of it as counting up! Start at 2346 and count how much you need to add to reach 2646. But subtraction is usually faster and more reliable.

What if the numbers were bigger or had more digits?

The method stays exactly the same! Whether it's 3-digit, 4-digit, or even larger numbers, you still subtract the known addend from the sum to find the missing piece.

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