Number Line Subtraction: Solve 92-7 Using Two Jumps

Number Line Subtraction with Decomposition Strategy

Solve the subtraction exercise,

using two jumps,

on the number line below:

927= 92-7=

22255592

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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:

927= 92-7=

22255592

2

Step-by-step solution

To solve the problem 927 92 - 7 using a number line, we'll break the subtraction into two smaller steps. This method can help by using round numbers and ensuring accuracy:

  • Step 1: Start at 92. We choose to subtract 2 to reach a round number, 90.
  • Step 2: Now at 90, subtract the remaining 5 to reach the final result.

First Jump: 922=90 92 - 2 = 90
Second Jump: 905=85 90 - 5 = 85

This gives us the final solution of 85 85 .

3

Final Answer

85 85

Key Points to Remember

Essential concepts to master this topic
  • Strategy: Break subtraction into two smaller jumps using friendly numbers
  • Technique: First jump to round number: 922=90 92 - 2 = 90
  • Check: Verify total jump equals original subtrahend: 2+5=7 2 + 5 = 7

Common Mistakes

Avoid these frequent errors
  • Making jumps that don't add up to the subtrahend
    Don't make random jumps like subtracting 3 then 6 = wrong total of 9! This gives an incorrect final answer because your jumps must equal exactly 7. Always check that your two jumps add up to the original number being subtracted.

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?

+

The problem specifically asks for two jumps to practice the decomposition strategy. This helps you break down harder subtractions into easier steps using friendly numbers like multiples of 10.

How do I choose what numbers to jump by?

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Look for a way to reach a round number first! Since 92 is close to 90, subtract 2 first. Then subtract the remaining amount (5) to finish the problem.

What if I can't see a good round number to jump to?

+

Try breaking the subtrahend into smaller, easier numbers. For 7, you could use 2+5, 3+4, or 1+6. Pick whichever feels most comfortable to you!

Can I make more than two jumps?

+

While you could make more jumps, this exercise specifically asks for two jumps to practice efficient decomposition. Learning to use fewer, strategic jumps makes subtraction faster!

How do I know my jumps are correct?

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Always check that your jumps add up to the original subtrahend. In this case: 2 + 5 = 7 ✓. Also verify your final answer: 85+7=92 85 + 7 = 92

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