Solve 46-9 Using Number Line Jump Strategy

Subtraction with Two-Jump Strategy

Solve the subtraction exercise,

using two jumps on the number line below:

469= 46-9=

66633346

❤️ Continue Your Math Journey!

We have hundreds of course questions with personalized recommendations + Account 100% premium

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:

469= 46-9=

66633346

2

Step-by-step solution

To solve 469 46 - 9 using two jumps on the number line, we can break the subtraction into simpler steps as follows:

  • Step 1: Start at 46.
  • Step 2: Make the first jump backwards by 6, moving from 46 to 40.
  • Step 3: Make the second jump backwards by 3, moving from 40 to 37.

Thus, by performing these two jumps, we compute 469=37 46 - 9 = 37 .

Therefore, the solution to the problem is 37 37 .

3

Final Answer

37 37

Key Points to Remember

Essential concepts to master this topic
  • Strategy: Break 9 into two parts that make jumping easier
  • Technique: Jump back 6 first (46→40), then jump back 3 (40→37)
  • Check: Verify with standard subtraction: 46 - 9 = 37 ✓

Common Mistakes

Avoid these frequent errors
  • Making jumps in the wrong direction
    Don't jump forward when subtracting = you'll get 55 instead of 37! Subtraction means moving backward (left) on the number line. Always jump backward when subtracting.

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 exactly two jumps?

+

Two jumps make the subtraction easier to visualize! Instead of counting back 9 spaces one by one, we can break 9 into friendly numbers like 6 + 3 that are easier to work with.

How do I decide how to split the 9?

+

Look for combinations that make nice round numbers! Since 46 - 6 = 40, splitting 9 into 6 + 3 works perfectly. You could also use 4 + 5 or other combinations.

What if I make different jumps than 6 and 3?

+

That's totally fine! You could jump back 4, then 5, or jump back 1, then 8. As long as your jumps add up to 9 and go backward, you'll get the same answer: 37.

Do I have to use a number line for subtraction?

+

No, but number lines help you visualize what subtraction means! They're especially helpful for larger numbers or when you need to show your thinking step by step.

Can I use this strategy for bigger numbers?

+

Absolutely! For something like 7315 73 - 15 , you could jump back 3 (to get 70), then jump back 12 more. Breaking into friendly numbers always helps!

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Natural Numbers around 100 questions, detailed video solutions, and personalized progress tracking.

📹

Unlimited Video Solutions

Step-by-step explanations for every problem

📊

Progress Analytics

Track your mastery across all topics

🚫

Ad-Free Learning

Focus on math without distractions

No credit card required • Cancel anytime

More Questions

Click on any question to see the complete solution with step-by-step explanations