Solve 96-67 Using Number Line Jumps: Step-by-Step Subtraction

Number Line Subtraction with Two-Digit Decomposition

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

9667= 96-67=

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Step-by-step written solution

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1

Understand the problem

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

9667= 96-67=

2

Step-by-step solution

To solve the subtraction 9667 96 - 67 using a number line, we follow these steps:

  • Initial Position: Start at 96 on the number line. This is our minuend.
  • First Jump: Subtract 60 by making a large jump of 60 units backward, landing at 9660=36 96 - 60 = 36 .
  • Second Jump: Next, subtract the remaining 7 units. Jump 7 units back from 36 to reach 367=29 36 - 7 = 29 .

By effectively using the jumps on a number line, we deduce that 9667=29 96 - 67 = 29 .

Thus, the solution to the subtraction exercise is 29 29 .

3

Final Answer

29 29

Key Points to Remember

Essential concepts to master this topic
  • Strategy: Break subtrahend into tens and ones for easier jumping
  • Technique: Jump back 60 first: 96 - 60 = 36, then 7 more
  • Check: Add jumps back to verify: 29 + 60 + 7 = 96 ✓

Common Mistakes

Avoid these frequent errors
  • Jumping forward instead of backward when subtracting
    Don't jump forward on the number line when subtracting = you're adding instead! This gives 96 + 67 = 163 instead of the correct 29. Always jump backward (left) when subtracting on a number line.

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 break 67 into 60 + 7 instead of subtracting it all at once?

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Breaking numbers apart makes mental math easier! It's much simpler to subtract nice round numbers like 60 first, then handle the remaining 7. This prevents counting errors on long jumps.

What if I break the number differently, like 50 + 17?

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That works too! You could jump back 50 to get 46, then back 17 more to reach 29. The decomposition method doesn't matter as long as the parts add up to 67.

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

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For subtraction, always jump backward (to the left). Think of it as 'taking away' - you're moving to smaller numbers. Addition jumps forward (right) to bigger numbers.

Can I use this method for any subtraction problem?

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Yes! Number line jumping works for any subtraction. For larger numbers, break them into hundreds, tens, and ones. For smaller ones, you might jump the whole amount at once.

What if I land on a negative number?

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If your starting number is smaller than what you're subtracting, you'll land below zero. That's okay - it means your answer is negative! Just keep counting backward from zero.

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