Solve the Equation: Finding the Missing Value in 55-□=28 Using Number Line

Subtraction Equations with Number Line Visualization

Solve the following equation using the number line below:

55=28 55-\Box=28

282828555555

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Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Solve the following equation using the number line below:

55=28 55-\Box=28

282828555555

2

Step-by-step solution

To solve the equation 55=28 55 - \Box = 28 using a number line, start at 55 and jump to 50, an easy anchor point, requiring a jump of 5 units.

Next, move from 50 to 28, which requires a further jump of 22 units.

Adding these jumps, 5+22 5 + 22 , gives us the total jump needed from 55 to reach 28. Therefore, =27\Box = 27.

Thus, the solution to the problem is =27\Box = 27, which corresponds to the answer choice:

27 27

3

Final Answer

27 27

Key Points to Remember

Essential concepts to master this topic
  • Equation Rule: In 55 - □ = 28, find the missing subtrahend
  • Number Line Technique: Jump from 55 to 28, counting total distance = 27
  • Check: Verify by substituting: 55 - 27 = 28 ✓

Common Mistakes

Avoid these frequent errors
  • Subtracting in wrong direction on number line
    Don't jump from 28 to 55 and call that the answer = wrong direction! This gives you what to ADD, not subtract. Always start from the larger number (55) and jump toward the smaller number (28) to find the subtraction amount.

Practice Quiz

Test your knowledge with interactive questions

If we have 67 blocks in total, how many blocks will remain if we remove 5 tens and 4 ones?

FAQ

Everything you need to know about this question

Why do I start at 55 instead of 28 on the number line?

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You start at 55 because that's where the subtraction begins! Think of it as: "I have 55, I subtract something, and end up with 28." The number line shows this journey from start to finish.

What if I don't see 50 as an anchor point?

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That's okay! You can jump directly from 55 to 28, or use any convenient anchor points like 40 or 30. The total distance will always be the same: 27 units.

How is this different from 28 + □ = 55?

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Great observation! Both equations have the same answer (27), but represent different operations. 55=28 55 - \square = 28 means "subtract from 55," while 28+=55 28 + \square = 55 means "add to 28."

Can I solve this without a number line?

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Absolutely! You can use inverse operations: =5528=27 \square = 55 - 28 = 27 . The number line just helps you visualize what's happening in the subtraction.

What if my jumps don't add up correctly?

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Double-check your arithmetic! In this problem: 5 + 22 = 27. If your jumps don't match the total distance from 55 to 28, recount carefully or try different anchor points.

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