Solve the Addition Equation: Finding the Missing Number in 24 + □ = 31

Addition Equations with Number Line Jumps

Solve the addition exercise,

using two jumps on the number line below:

24+=31 24+\Box=31

242424313131

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Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Solve the addition exercise,

using two jumps on the number line below:

24+=31 24+\Box=31

242424313131

2

Step-by-step solution

To solve this problem using a number line and two jumps, follow these steps:

  • Start at 24 on the number line.
  • The first jump will move us to the nearest convenient round number, which is 30. This jump is 3024=630 - 24 = 6.
  • From 30, we need to jump to 31. The second jump is 3130=131 - 30 = 1.
  • Add the two jumps together: 6+1=76 + 1 = 7.

Therefore, the number that fills the gap \Box in the equation 24+=3124 + \Box = 31 is 77.

3

Final Answer

7 7

Key Points to Remember

Essential concepts to master this topic
  • Strategy: Break addition into two convenient jumps on number line
  • Technique: Jump to round number first: 24 → 30 (jump 6), then 30 → 31 (jump 1)
  • Check: Add both jumps together: 6 + 1 = 7, verify 24 + 7 = 31 ✓

Common Mistakes

Avoid these frequent errors
  • Making one large jump instead of two strategic jumps
    Don't try to jump directly from 24 to 31 in one move = missing the two-jump strategy! This makes it harder to visualize and calculate accurately. Always break it into two smaller, strategic jumps using a convenient round number.

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 need to use exactly two jumps?

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Using two jumps makes mental math easier! The first jump gets you to a round number (like 30), then the second jump is usually just a small step to your final answer.

How do I choose where to make my first jump?

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Pick the nearest round number that's between your starting point and ending point. From 24 to 31, the best choice is 30 because it's easy to calculate both 24 + 6 = 30 and 30 + 1 = 31.

What if my two jumps don't add up to the right answer?

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Double-check your arithmetic! Make sure your first jump actually reaches the round number you chose, and your second jump reaches the final target. Then add both jump sizes together.

Can I use different round numbers for my first jump?

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Yes, but choose wisely! You could jump to 25 or 28, but 30 is the most convenient because it's a multiple of 10 and makes the second jump very small.

Do both jumps have to be forward on the number line?

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For addition problems like this one, both jumps will be forward (to the right). If you were subtracting, you might jump backward, but here we're adding a positive number.

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