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

Add fifty units to the number 31.

What is the resulting number?

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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