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

Add fifty units to the number 31.

What is the resulting number?

FAQ

Everything you need to know about this question

Why do I need to use exactly two jumps?

+

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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