Solve 81 - 14 Using Number Line Jumps: Step-by-Step Subtraction

Number Line Subtraction with Decomposition Strategy

Solve the subtraction exercise using jumps on the number line below:

8114= 81-14=

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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 jumps on the number line below:

8114= 81-14=

2

Step-by-step solution

To solve the subtraction problem 8114 81 - 14 using jumps on the number line, follow these steps:

Step 1: Start at 81 on the number line.

  • Visualizing this, place a marker at point 81.

Step 2: Subtract 10 by taking a large jump back to 71.

  • This large jump represents subtracting 10 from 81, yielding 8110=71 81 - 10 = 71 .

Step 3: Subtract the remaining 4 by taking a smaller jump back.

  • From 71, jump back 4 steps to reach 67, which is calculated as 714=67 71 - 4 = 67 .

Therefore, using jumps on the number line, the solution to 8114 81 - 14 is 67 67 .

3

Final Answer

67 67

Key Points to Remember

Essential concepts to master this topic
  • Starting Point: Begin at the larger number on the number line
  • Decomposition: Break 14 into 10 + 4 for easier jumps backward
  • Verification: Check by adding: 67+14=81 67 + 14 = 81

Common Mistakes

Avoid these frequent errors
  • Making random jumps without strategy
    Don't jump randomly by 3, then 5, then 6 without planning = confused calculations and wrong answers! This wastes time and increases errors. Always decompose the subtrahend into tens and ones first, then make organized jumps.

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 14 into 10 + 4 instead of jumping all 14 at once?

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Breaking into tens and ones makes counting much easier! Jumping by 10 is simple (just change the tens digit), then you only need to count back the small amount.

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

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Write down each step! Start at 81, write "81 - 10 = 71", then "71 - 4 = 67". This keeps you organized and prevents mistakes.

Can I break 14 differently, like 7 + 7?

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Absolutely! You could use 7 + 7, or 5 + 9, but tens and ones (10 + 4) is usually fastest because jumping by 10 is so easy.

How do I know my final answer is correct?

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Add your answer back to what you subtracted: 67+14 67 + 14 . If you get your starting number (81), you're right!

What if the problem has bigger numbers like 156 - 23?

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Same strategy! Break 23 into 20 + 3. Jump back 20 (easy with tens), then jump back 3. The pattern works for any size numbers.

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