Solve Addition 15 + 56 Using Number Line Jumps

Number Line Addition with Decomposition Strategy

Solve the addition exercise,

using jumps on the the number line below:

15+56= 15+56=

505050555111151515

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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 jumps on the the number line below:

15+56= 15+56=

505050555111151515

2

Step-by-step solution

To solve the addition problem 15+5615 + 56, we'll use jumps on a number line:

  • Step 1: Start at 15 on the number line.
  • Step 2: Break down the second number (56) into smaller, manageable increments. For simplicity, we can use increments of 10.
  • Step 3: Make five jumps of 10 from 15. This will bring us to 15+50=6515 + 50 = 65.
  • Step 4: Add the remaining 6 by jumping from 65 to 71.

This method effectively demonstrates that 15+5615 + 56 equals 71 by reaching the end point after all the incremental jumps on the number line.

Therefore, the solution to the problem is 7171.

3

Final Answer

71 71

Key Points to Remember

Essential concepts to master this topic
  • Starting Point: Place first addend correctly on the number line
  • Decomposition: Break 56 into 50 + 6 for easier jumps
  • Verification: Count total jumps: 50 + 6 = 56 forward from 15 ✓

Common Mistakes

Avoid these frequent errors
  • Adding digits separately instead of place values
    Don't add 1+5+5+6 = 17! This treats each digit individually instead of recognizing place values (15 + 56). Always keep numbers intact and use strategic jumps like 15 → 65 → 71.

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 break 56 into 50 and 6 instead of other combinations?

+

Breaking into tens and ones makes counting easier! Jumping by 10s is faster than smaller jumps, and the remaining ones are simple to add. You could use other combinations, but this is most efficient.

What if I lose track of where I am on the number line?

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Mark each landing spot as you go! Start at 15, write down 25, 35, 45, 55, 65 after each jump of 10, then add 6 to get 71. Writing helps you stay organized.

Can I jump backwards instead of forwards?

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Addition always means moving forward (right) on the number line! Jumping backwards would be subtraction. Remember: addition = right, subtraction = left.

Is there a faster way than using the number line?

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Yes! Once you understand the concept, you can add mentally: 15+50=65 15 + 50 = 65 , then 65+6=71 65 + 6 = 71 . The number line helps you visualize this process.

What if the numbers are much bigger?

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The same strategy works! Break the larger addend into hundreds, tens, and ones. For example: 234 + 567 becomes jumps of +500, +60, +7 from 234.

How do I know my final answer is correct?

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Check by counting your total jumps: did they equal the second number? Also verify: 15+56=71 15 + 56 = 71 using standard addition as a double-check!

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