Addition Problem: Finding the Sum of 45 + 19 Blocks

Addition with Two-Digit Numbers

If we have 45 blocks and we add a further 19 blocks, how many blocks will we have in total?

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Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

If we have 45 blocks and we add a further 19 blocks, how many blocks will we have in total?

2

Step-by-step solution

To solve this problem, we need to find the total number of blocks after adding 19 blocks to an existing 45 blocks.

Step 1: Identify the numbers involved:

  • Initial number of blocks: 45 45
  • Additional blocks: 19 19

Step 2: Perform the addition calculation: 45+19=64 45 + 19 = 64

Now, let's explain the addition in detail:

  • Start by adding the ones place digits: 5+9=14 5 + 9 = 14 . Write down 4 and carry over 1 to the tens place.
  • Next, add the tens place digits, along with the carry-over: 4+1(carry)+1=6 4 + 1 (carry) + 1 = 6 .

Thus, the total number of blocks is 64 64 .

The correct answer choice is: 4

Therefore, the solution to the problem is 64 64 .

3

Final Answer

64 64

Key Points to Remember

Essential concepts to master this topic
  • Setup: Line up numbers by place value to add correctly
  • Technique: Add ones first: 5 + 9 = 14, write 4 and carry 1
  • Check: Count blocks in diagram matches calculated answer: 64 ✓

Common Mistakes

Avoid these frequent errors
  • Forgetting to carry over when digits sum to 10 or more
    Don't just write 14 when adding 5 + 9 = wrong final answer like 454! The 14 means you have 1 ten and 4 ones. Always write the 4 in ones place and carry the 1 to tens place.

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 I need to line up the numbers by place value?

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Place value alignment ensures you're adding the right digits together! If you don't line up properly, you might add tens with ones and get the wrong answer.

What does 'carry over' actually mean?

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When digits add up to 10 or more, you have extra tens! Write the ones digit in your answer and 'carry' the tens digit to the next column to the left.

How can I check if 64 is correct without a calculator?

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Try counting backward: Start with 64 and subtract 19. You should get 45! Or use the visual: count all the blocks in the diagram.

Is there a faster way to add 45 + 19?

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  • Round and adjust: 45 + 20 = 65, then subtract 1 = 64
  • Break apart: 45 + 10 + 9 = 55 + 9 = 64

What if I get confused with the carrying?

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Practice with smaller numbers first! Try 23 + 18: ones place 3 + 8 = 11 (write 1, carry 1), tens place 2 + 1 + 1 = 4. Answer: 41.

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