Solve the Equation: Finding the Missing Number in 1550 + □ = 1750

Q: Why do I subtract 1550 from 1750 instead of the other way around?

In the equation $ 1550 + □ = 1750 $, we need to find what number added to 1550 gives us 1750. Think of it as: 'What do I need to add to 1550 to reach 1750?' The answer is the difference: 1750 - 1550.

Q: How can I check if 200 is really the right answer?

Simply substitute 200 back into the original equation: $ 1550 + 200 = 1750 $. If both sides are equal, your answer is correct!

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

Remember: subtract the smaller number from the larger number. Since 1750 > 1550, we calculate 1750 - 1550. The missing addend is always positive in these problems.

Q: Is there a quicker way to solve this mentally?

Yes! You can count up from 1550 to 1750: 1550 + 50 = 16001600 + 150 = 1750Total: 50 + 150 = 200

Q: Why is this called a 'missing addend' problem?

Because we have an addition equation where one of the numbers being added (an addend) is missing. We use subtraction to find that missing piece of the addition puzzle.

Missing Addend Problems with Three-Digit Numbers

Complete the following equation:

$1550+\Box=1750$

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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:

$1550+\Box=1750$

Step-by-step solution

To solve this problem, we'll follow these steps:

Step 1: Identify the given numbers in the equation $1550 + \Box = 1750$ .
Step 2: Use the subtraction formula to find the missing number: $\Box = 1750 - 1550$ .
Step 3: Perform the calculation. Calculate $1750 - 1550$ .

Now, let's work through each step:

Step 1: The given equation is $1550 + \Box = 1750$ .

Step 2: We apply the subtraction formula: $\Box = 1750 - 1550$ .

Step 3: Perform the calculation:

$1750 - 1550 = 200$ .

This calculation tells us that when 200 is added to 1550, the result is 1750.

Therefore, the solution to the problem is $200$ .

Final Answer

$200$

Key Points to Remember

Essential concepts to master this topic

Rule: To find missing addend, subtract known addend from sum
Technique: Use subtraction formula: □ = 1750 - 1550 = 200
Check: Verify by adding: 1550 + 200 = 1750 ✓

Common Mistakes

Avoid these frequent errors

Adding instead of subtracting to find the missing number
Don't add 1550 + 1750 = 3300! This gives you the wrong operation and a number way too large. Always subtract the known addend from the sum to find the missing addend.

Practice Quiz

Test your knowledge with interactive questions

Choose the correct answer:

$693+705=\text{ ?}$

FAQ

Everything you need to know about this question

Why do I subtract 1550 from 1750 instead of the other way around?

In the equation $1550 + □ = 1750$ , we need to find what number added to 1550 gives us 1750. Think of it as: 'What do I need to add to 1550 to reach 1750?' The answer is the difference: 1750 - 1550.

How can I check if 200 is really the right answer?

Simply substitute 200 back into the original equation: $1550 + 200 = 1750$ . If both sides are equal, your answer is correct!

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

Remember: subtract the smaller number from the larger number. Since 1750 > 1550, we calculate 1750 - 1550. The missing addend is always positive in these problems.

Is there a quicker way to solve this mentally?

Yes! You can count up from 1550 to 1750:

1550 + 50 = 1600
1600 + 150 = 1750
Total: 50 + 150 = 200

Why is this called a 'missing addend' problem?

Because we have an addition equation where one of the numbers being added (an addend) is missing. We use subtraction to find that missing piece of the addition puzzle.

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