Solve 34+9 Using Two Jumps on a Number Line: Visual Addition Strategy

Number Line Addition with Strategic Decomposition

Solve the addition exercise,

using two jumps on the number line below:

34+9= 34+9=

343434+6+3

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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:

34+9= 34+9=

343434+6+3

2

Step-by-step solution

To solve the problem of adding 34+9 34 + 9 using two jumps on a number line, follow these steps:

  • Step 1: Start at 34 on the number line.
  • Step 2: Make the first jump of +6 +6 from 34, which lands you at 40.
  • Step 3: Make the second jump of +3 +3 from 40, landing you at 43.

Therefore, by completing the two jumps on the number line, we find that 34+9=43 34 + 9 = 43 .

The solution to the addition problem is 43 43 .

3

Final Answer

43 43

Key Points to Remember

Essential concepts to master this topic
  • Strategy: Break addend into friendly numbers for easier jumps
  • Technique: Split 9 into 6 + 3 to reach 40 first
  • Check: Verify jumps total original addend: 6 + 3 = 9 ✓

Common Mistakes

Avoid these frequent errors
  • Making random jumps that don't add to 9
    Don't jump +6 and +5 thinking it equals 9 = wrong total of 11! This gives 34 + 11 = 45 instead of the correct 43. Always ensure your jump amounts add up to the original second 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 can't I just jump +9 in one step?

+

You absolutely can! But two jumps help you practice breaking numbers apart, which is super useful for mental math. Plus, jumping to friendly numbers like 40 makes calculations easier.

How do I know what numbers to split 9 into?

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Look for combinations that help you land on multiples of 10! Since 34 + 6 = 40, splitting 9 into 6 + 3 is perfect. You could also use 4 + 5 or other pairs that add to 9.

What if I can't see the friendly number right away?

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No worries! Start by figuring out how many you need to reach the next 10. From 34, you need 6 to get to 40. Then use the leftover amount for your second jump.

Does the order of my jumps matter?

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Nope! You could jump +3 first (34 → 37) then +6 (37 → 43). The final answer stays the same because addition is commutative. Choose whichever feels easier!

Can I use this method for bigger numbers?

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Absolutely! This decomposition strategy works great for any addition. For example, 47 + 15 could be 47 + 3 + 12, jumping to 50 first. It's especially helpful for mental math!

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