Solve 83 - 5 Using Two Jumps on a Number Line: Visual Subtraction Method

Number Line Subtraction with Decomposition Strategy

Solve the subtraction exercise,

using two jumps on the number line below:

835= 83-5=

33322283

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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 two jumps on the number line below:

835= 83-5=

33322283

2

Step-by-step solution

Let's solve the subtraction problem 835=83 - 5 = using two jumps on a number line:

  • Initial Position: We start at 83 on the number line.
  • First Jump: We'll subtract 3 from 83, which takes us to 80.
  • Second Jump: Now subtract 2 more from 80, which lands us at 78.

By using two jumps, one subtracting 3 and another subtracting 2, we have successfully found that:

The final result is 7878.

3

Final Answer

78 78

Key Points to Remember

Essential concepts to master this topic
  • Decomposition Rule: Break 5 into friendly parts like 3 + 2
  • Two-Jump Method: First jump back 3 (83→80), then jump back 2 (80→78)
  • Check: Count total jumps: 3 + 2 = 5, and 83 - 5 = 78 ✓

Common Mistakes

Avoid these frequent errors
  • Making one big jump instead of two strategic jumps
    Don't try to jump back 5 spaces all at once on the number line = harder to visualize and count accurately! This makes it easy to miscount and land on the wrong number. Always break larger numbers into smaller, friendlier parts like 3 + 2 for easier mental math.

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 we need to use exactly two jumps?

+

Using two jumps makes subtraction easier by breaking 5 into smaller, more manageable parts. It's like taking baby steps instead of one big leap!

Can I break 5 into different parts than 3 + 2?

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Absolutely! You could use 4 + 1 or 1 + 4. The key is that your two parts must add up to 5. Choose the breakdown that feels easiest for you.

What if I accidentally make three jumps instead of two?

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That's okay for learning! Just remember the goal is to practice the two-jump strategy. You can combine smaller jumps: if you did 2 + 2 + 1, combine two of them to make two total jumps.

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

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For subtraction, always jump to the left (toward smaller numbers). For addition, you'd jump to the right. Think: subtraction = take away = move left!

What if my two jumps don't land me at a nice round number like 80?

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That's perfectly normal! Not all problems will land on round numbers. The important thing is that your total jumps equal the number you're subtracting and you end up at the correct final answer.

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