Solve the Equation: Finding the Missing Number in 34-□=26 Using Number Line

Missing Number Subtraction with Two-Jump Strategy

Solve the subtraction exercise,

using two jumps on the the number line below:

34=26 34-\Box=26

262626343434

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Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Solve the subtraction exercise,

using two jumps on the the number line below:

34=26 34-\Box=26

262626343434

2

Step-by-step solution

To solve this subtraction exercise, we will use two jumps on the number line:

  • Step 1: Start at 34 and make the first jump to the nearest round number, which is 30. This jump represents subtracting 4 from 34, so 344=30 34 - 4 = 30 .
  • Step 2: From 30, make the second jump to 26. This jump represents subtracting another 4, so 304=26 30 - 4 = 26 .
  • Now, adding the two jumps: 4+4=8 4 + 4 = 8 .

Therefore, the value in the equation 34=26 34 - \Box = 26 is 8 8 .

3

Final Answer

8 8

Key Points to Remember

Essential concepts to master this topic
  • Strategy: Break subtraction into two smaller jumps on number line
  • Technique: First jump 34 to 30 (subtract 4), then 30 to 26 (subtract 4)
  • Check: Add both jumps: 4 + 4 = 8, verify 34 - 8 = 26 ✓

Common Mistakes

Avoid these frequent errors
  • Making random jumps without planning
    Don't jump randomly from 34 to any number = wasted steps and confusion! Random jumps make it harder to track your total subtraction. Always plan your jumps to go through round numbers like 30, 20, etc.

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 helps you break down harder subtraction into easier steps. You could do it in one jump, but two jumps through a round number like 30 makes the math clearer!

What if I can't reach 26 in exactly two jumps?

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You can always reach any number in two jumps! The key is choosing your first jump wisely. Try jumping to the nearest round number (like 30, 20, etc.) first.

Do both jumps have to be the same size?

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No! Your jumps can be different sizes. For example, you could jump 3430 34 \rightarrow 30 (4 steps) then 3026 30 \rightarrow 26 (4 steps), or try 3432 34 \rightarrow 32 (2 steps) then 3226 32 \rightarrow 26 (6 steps).

How do I know which direction to jump on the number line?

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Since you're subtracting, always jump to the left (toward smaller numbers). If you were adding, you'd jump right toward bigger numbers.

What if I forget to add up my jumps at the end?

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Adding your jumps gives you the final answer! If you jumped 4 steps then 4 more steps, your total is 4+4=8 4 + 4 = 8 . This means 348=26 34 - 8 = 26 .

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