Calculate the Sum: Solving 54 + 8 Step by Step

Addition Strategies with Number Decomposition

54+8= ? 54+8=\text{ ?}

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Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

54+8= ? 54+8=\text{ ?}

2

Step-by-step solution

To solve this problem, we can use the technique of breaking down numbers for easier mental addition.

Step 1: We start with the expression 54+8 54 + 8 .
Step 2: We can decompose the number 8 into two numbers that are easier to add in parts. A simple break down is 8=6+2 8 = 6 + 2 .
Step 3: We substitute the breakdown into the original expression:

  • First, add 54 and 6 to get 60.
  • Next, add 2 to 60 to get 62.

Thus, the expression 54+6+2 54 + 6 + 2 is equivalent to 54+8 54 + 8 , giving us the correct answer.

Therefore, the correct equivalent expression is 54+6+2 54 + 6 + 2 .

3

Final Answer

54+6+2 54+6+2

Key Points to Remember

Essential concepts to master this topic
  • Strategy: Break apart numbers to make addition easier mentally
  • Technique: Decompose 8 as 6 + 2 to reach friendly number 60
  • Check: Verify 54 + 6 + 2 = 54 + 8 = 62 ✓

Common Mistakes

Avoid these frequent errors
  • Adding numbers in wrong order after decomposition
    Don't calculate 54 + 2 + 6 = 62 randomly! This might work by luck but doesn't follow the strategic method. Always add the larger part first to reach a friendly number like 60, then add the remainder.

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 break 8 into 6 + 2 instead of other combinations?

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Breaking 8 as 6 + 2 is strategic! Adding 54 + 6 gives us the friendly number 60, making it super easy to add the final 2. Other breakdowns like 5 + 3 don't create such convenient stepping stones.

What makes 60 a 'friendly number' for mental math?

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Multiples of 10 like 60 are friendly because they're easy to work with mentally. When you reach 60, adding any single digit becomes simple - no carrying or complex thinking required!

Can I break down 54 instead of 8?

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You could, but it's usually more efficient to break down the smaller number. This keeps the math simpler and helps you reach friendly numbers faster.

How do I know which breakdown to choose?

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Look for combinations that help you reach multiples of 10! Since 54 + 6 = 60, breaking 8 as 6 + 2 is perfect. Practice recognizing these patterns.

Is this method faster than just adding 54 + 8 directly?

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With practice, yes! This method reduces mental effort and errors. While 54 + 8 might seem direct, the decomposition strategy builds number sense and works great for larger, more complex problems.

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