Addition Problem: Finding the Sum of 17 and 25 Blocks

Basic Addition with Multi-Digit Numbers

If we have 17 blocks and we add a further 25 blocks, 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

If we have 17 blocks and we add a further 25 blocks, how many blocks will we have in total?

2

Step-by-step solution

To solve this problem, let's begin by stating the numbers involved in the addition:
- We start with an initial number of blocks: 17 17 .
- Then, we add an additional number of blocks: 25 25 .

We need to find the sum of these two numbers to determine the total number of blocks:

  • 17+25 17 + 25

Let's compute the sum:
To find 17+25 17 + 25 , we can add the numbers directly:

  • First, add the ones place: 7+5=12 7 + 5 = 12 , which gives us 2 in the ones place and carry over 1 to the tens place.
  • Then, add the tens place numbers: 1+2+1=4 1 + 2 + 1 = 4 .

This calculation results in the total number of blocks being 42 42 .

Therefore, the correct answer to the problem is 42 42 .

3

Final Answer

42 42

Key Points to Remember

Essential concepts to master this topic
  • Rule: Add corresponding place values starting from the ones column
  • Technique: Carry over when sum exceeds 9: 7+5=12, write 2 carry 1
  • Check: Count blocks visually or use reverse subtraction: 42-25=17 ✓

Common Mistakes

Avoid these frequent errors
  • Forgetting to carry over to the next place value
    Don't just write down both digits when adding 7+5=12! This gives wrong totals like 17+25=212. The extra digit represents 10 ones which equals 1 ten. Always carry the extra digit to the tens column and write only the ones digit.

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

What does it mean to 'carry over' in addition?

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When two digits add up to 10 or more, you write the ones digit and carry the tens digit to the next column. For example: 7+5=12, so write 2 and carry the 1 to add with the tens column.

Why can't I just write 12 in the ones place?

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Each place value can only hold one digit (0-9). When you get 12, that's really 1 ten and 2 ones, so the 1 belongs in the tens column and the 2 stays in the ones column.

How can I check if my addition is correct?

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Try subtraction! Take your answer and subtract one of the original numbers. You should get the other original number. For example: 42-25=17 ✓

What if I'm adding more than two numbers?

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Use the same process! Add column by column from right to left, carrying over when needed. You might carry more than 1 if you're adding many numbers.

Can I add the tens column first instead of ones?

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Always start with the ones column! You need to know if there's a carry-over from the ones before you can correctly add the tens column.

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