Solve for the Missing Addend: 33 + __ = 68 Using Number Line

Missing Addend with Two-Jump Strategy

Solve the addition exercise,

using two jumps on the number line below:

33+=68 33+\Box=68

333333686868

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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:

33+=68 33+\Box=68

333333686868

2

Step-by-step solution

To solve this problem, follow these steps:

  • Step 1: Calculate the difference from 33 to a rounded next number which is 40. The first jump is 4033=740 - 33 = 7.
  • Step 2: From 40, calculate the difference to 68. The second jump is 6840=2868 - 40 = 28.
  • Step 3: Add the values of both jumps to find the total missing number.

Now, let's work through each step:
Step 1: From 33 to 40 is a jump of 7.
Step 2: From 40 to 68 is a jump of 28.
Step 3: The total added amount is 7+28=357 + 28 = 35.

Therefore, the solution to the problem is 35 35 .

3

Final Answer

35 35

Key Points to Remember

Essential concepts to master this topic
  • Rule: Break large jumps into smaller, manageable parts using landmarks
  • Technique: Jump to 40 first: 33 + 7 = 40, then 40 + 28 = 68
  • Check: Add both jumps: 7 + 28 = 35, verify 33 + 35 = 68 ✓

Common Mistakes

Avoid these frequent errors
  • Making one large jump without breaking it down
    Don't try to count from 33 directly to 68 in one jump = easy to lose track and miscount! This leads to counting errors and wrong answers. Always break large differences into two smaller, easier jumps using round numbers like 40, 50, or 60 as stepping stones.

Practice Quiz

Test your knowledge with interactive questions

If we have 85 blocks in total, how many blocks will remain if we remove 4 tens and 1 one?

FAQ

Everything you need to know about this question

Why can't I just count from 33 to 68 all at once?

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While you could count all the way, it's much easier to make mistakes! Using two smaller jumps helps you stay accurate and makes the math more manageable.

How do I choose which number to jump to first?

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Pick a round number that's between your starting and ending points. Numbers like 40, 50, 60 are great choices because they're easy to work with!

What if I choose a different middle number, like 50?

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That works too! You'd jump 17 to get from 33 to 50, then 18 more to reach 68. As long as your jumps add up to 35 total, you're correct!

Do both jumps have to be the same size?

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No! The jumps can be any size as long as they add up to the missing number. The key is choosing a middle point that makes the math easier for you.

How do I know my answer is right?

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Always check by adding your jumps together, then verify: 33+35=68 33 + 35 = 68 . If it equals the target number, you're correct!

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