Addition with Base-10 Blocks: Adding 5 Ones to 35

Base-10 Regrouping with Adding Ones

In the picture we have a total of 35 blocks. Comprised of 3 tens and 5 ones. If we add a further 5 ones how many blocks will we have in total?

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Step-by-step written solution

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1

Understand the problem

In the picture we have a total of 35 blocks. Comprised of 3 tens and 5 ones. If we add a further 5 ones how many blocks will we have in total?

2

Step-by-step solution

Given the problem, we begin by identifying that the original number of blocks is 35, composed of 3 tens and 5 ones.

Step 1: Identify the current number of tens and ones: - 35 35 blocks means 3 3 tens and 5 5 ones.

Step 2: Add the additional ones: - We add 5 5 more ones to the current 5 5 ones: 5+5=10 5 + 5 = 10 .

Step 3: Regroup the ones into tens and ones: - Since 10 10 is equal to one ten, the ones become 0 0 , and the tens increase by 1 1 .

Step 4: Calculate the new total number of blocks: - The original 3 3 tens plus the additional 1 1 ten from regrouping gives us 4 4 tens. - Therefore, we now have 4×10=40 4 \times 10 = 40 blocks in total.

Thus, the new total number of blocks is 40 40 .

3

Final Answer

40 40

Key Points to Remember

Essential concepts to master this topic
  • Place Value: Each ten equals exactly 10 ones blocks
  • Regrouping: When ones reach 10, exchange for 1 ten: 5+5=10 5 + 5 = 10 ones = 1 ten
  • Check: Count final blocks: 4 tens + 0 ones = 4×10=40 4 \times 10 = 40 total ✓

Common Mistakes

Avoid these frequent errors
  • Adding without regrouping when ones exceed 9
    Don't just add 5 + 5 = 10 and keep 10 in the ones place = impossible in base-10! You can't have 10 ones because 10 ones must become 1 ten. Always regroup when ones reach 10 or more.

Practice Quiz

Test your knowledge with interactive questions

If we have 85 blocks in total, how many blocks will remain if we remove 4 tens and 1 one?

FAQ

Everything you need to know about this question

Why can't I just say 35 + 5 = 40 without using blocks?

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You absolutely can! The blocks help you visualize what's happening with place value. Both methods give the same answer - blocks just show why regrouping works.

What happens if I have more than 10 ones to add?

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Same process! If you get 15 ones total, that becomes 1 ten and 5 ones. If you get 23 ones, that's 2 tens and 3 ones. Always group every 10 ones into 1 ten.

Do I always need to regroup when adding ones?

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No! Only when your ones add up to 10 or more. If 3 ones + 4 ones = 7 ones, no regrouping needed since 7 is less than 10.

How do I count blocks quickly to check my answer?

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Count tens first: each ten block = 10. Then add any leftover ones. So 4 tens + 0 ones = 4×10+0=40 4 \times 10 + 0 = 40 blocks total.

What if the picture doesn't match the numbers given?

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Always trust the numbers stated in the problem first. The picture is there to help visualize, but focus on what the problem tells you: 35 blocks = 3 tens + 5 ones.

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