Adding 9 to 63: Base-10 Blocks Visual Addition Problem

Base-10 Addition with Visual Representation

If we have 63 blocks in total and we add a further 9 ones, how many blocks will we have in total?

❤️ 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

If we have 63 blocks in total and we add a further 9 ones, how many blocks will we have in total?

2

Step-by-step solution

To solve this problem, we need to add the additional blocks to the existing blocks:

  • Step 1: Start with the initial number of blocks, which is 63.
  • Step 2: Add the additional blocks, which are 9, using the addition operation.
  • Step 3: Perform the addition: 63+9 63 + 9 .

Now, let's calculate:

Performing the addition, we have:

63+9=72 63 + 9 = 72

This calculation gives us the total number of blocks. Therefore, the solution to the problem is that there are 72 blocks in total.

3

Final Answer

72 72

Key Points to Remember

Essential concepts to master this topic
  • Addition Rule: Combine all blocks to find the total amount
  • Technique: Add ones place first: 63+9=72 63 + 9 = 72
  • Check: Count visual blocks to verify 6 tens + 12 ones = 72 ✓

Common Mistakes

Avoid these frequent errors
  • Miscounting the visual blocks in the diagram
    Don't just count the large rectangles as single units = wrong total! Each large rectangle represents 10 ones, not 1. Always identify tens blocks (rectangles) and ones blocks (squares) separately, then add correctly.

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

How do I read the base-10 blocks diagram?

+

The large rectangles represent tens (each worth 10), and small squares represent ones (each worth 1). Count 6 tens blocks and 3 individual ones blocks to get 63.

What happens when I add 9 more ones to 63?

+

You get 63 + 9 = 72. This means you now have 6 tens and 12 ones, which can be regrouped as 7 tens and 2 ones, but the total is still 72.

Why don't we need to regroup in this problem?

+

Since we're just finding the total, we don't need to regroup. We started with 63 and added 9 to get 72. Regrouping would be needed if we were showing the final arrangement as tens and ones.

Can I solve this without the visual blocks?

+

Absolutely! The blocks help you visualize, but you can simply calculate 63+9=72 63 + 9 = 72 using mental math or the standard addition algorithm.

What if I counted the blocks wrong?

+

Double-check by counting systematically:

  • Count tens blocks (large rectangles) first
  • Count ones blocks (small squares) next
  • Verify: 6 tens + 3 ones = 63, then add 9 more ones

🌟 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