Solve the Addition Equation: 19 + 8

Addition Strategies with Friendly Numbers

19+8= ? 19+8=\text{ ?}

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Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

19+8= ? 19+8=\text{ ?}

2

Step-by-step solution

To solve this problem, we will follow these steps:

  • Step 1: Consider the original addition problem 19+8 19 + 8 .
  • Step 2: Break down the number 8 into 1+7 1 + 7 for simpler addition.
  • Step 3: First, add 1 to 19. This gives 19+1=20 19 + 1 = 20 .
  • Step 4: Next, add 7 to 20. This gives 20+7=27 20 + 7 = 27 .
  • Step 5: Verify the solution aligns with the given correct answer format.

Following these steps, 19+8 19 + 8 can be rewritten and solved as 19+1+7=27 19 + 1 + 7 = 27 .

Therefore, the equivalent expression and solution to this problem is 19+1+7 19 + 1 + 7 .

3

Final Answer

19+1+7 19+1+7

Key Points to Remember

Essential concepts to master this topic
  • Strategy: Break numbers to make easier tens when adding
  • Technique: Split 8 into 1+7 so 19+1=20, then 20+7=27
  • Check: Verify 19+1+7 equals original 19+8=27 ✓

Common Mistakes

Avoid these frequent errors
  • Breaking numbers randomly without making tens
    Don't split 8 into 2+6 or other combinations = harder mental math! Random splits don't help reach friendly numbers like 20. Always break numbers to create tens first, like splitting 8 into 1+7 to make 19+1=20.

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 break 8 into 1+7 instead of other combinations?

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We choose 1+7 because adding 1 to 19 gives us the friendly number 20! It's much easier to add 7 to 20 than to work with 19 directly.

What if I just add 19+8 directly in my head?

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That's fine if you can do it! But breaking into friendly numbers like 20 makes addition faster and reduces mistakes, especially with larger numbers.

How do I know which number to break apart?

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Look for the opportunity to make tens! Since 19 is one away from 20, we break the 8 to get that missing 1, leaving 7 to add to our friendly 20.

Does this work for other addition problems?

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Yes! This make-a-ten strategy works great for problems like 28+5 (break into 28+2+3) or 47+6 (break into 47+3+3). Always look for ways to reach the next ten!

Why is 20+7 easier than 19+8?

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Adding to multiples of 10 like 20, 30, 40 is easier because you just change the ones digit. 20+7=27 20+7=27 feels more natural than crossing over from 19 to the twenties.

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