Calculate the Sum: Solving 32 + 5 + 1 Step by Step

Addition Properties with Regrouping Strategy

32+5+1= 32+5+1=

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Step-by-step video solution

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00:00 Solution
00:02 We will use the commutative law and solve the simple addition first, then continue
00:05 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

32+5+1= 32+5+1=

2

Step-by-step solution

First, we'll combine the lower numbers using the commutative property:

5+1=6 5+1=6

Now we'll get the exercise:

32+6=38 32+6=38

3

Final Answer

38

Key Points to Remember

Essential concepts to master this topic
  • Commutative Property: Numbers can be added in any order without changing the sum
  • Regrouping: Combine 5 + 1 = 6 first, then add to 32
  • Verification: Count up from 32: 33, 34, 35, 36, 37, 38 ✓

Common Mistakes

Avoid these frequent errors
  • Adding numbers left to right without considering easier combinations
    Don't just compute 32 + 5 = 37, then 37 + 1 = 38 mechanically! While this gives the right answer, it misses the efficient strategy. Always look for easier combinations like 5 + 1 = 6 first to simplify your mental math.

Practice Quiz

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\( 100-(30-21)= \)

FAQ

Everything you need to know about this question

Why should I add 5 + 1 first instead of going left to right?

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Adding 5 + 1 = 6 first makes the problem easier! It's much simpler to compute 32 + 6 than to do 32 + 5, then add 1. This strategy helps you work faster and make fewer mistakes.

Does the order I add numbers really matter?

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Yes and no! The commutative property means the final answer is always the same, but choosing a smart order makes the math much easier. Look for combinations that make nice round numbers!

What if I already calculated 32 + 5 = 37?

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That's fine! Just continue: 37 + 1 = 38. Both methods work, but regrouping smaller numbers first usually prevents calculation errors and is faster.

How can I check if 38 is correct?

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Try counting up from 32: 33, 34, 35, 36, 37, 38. That's 6 steps, and 5 + 1 = 6, so 38 is correct!

Are there other ways to group these numbers?

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You could try 32 + 1 = 33, then 33 + 5 = 38. All groupings give the same answer, but 5 + 1 = 6 is usually the easiest to calculate mentally.

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