Solve the Subtraction Problem: 63-36 Step by Step

Subtraction with Regrouping Strategy

6336= 63-36=

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Solve
00:03 We will use the distribution law
00:07 Break down 63 into 60 plus 3
00:11 Break down 36 into 30 plus 6
00:19 Negative times positive is always negative
00:33 We will use the commutative law and arrange the exercise in a convenient way to solve
00:45 We will solve one operation at a time
00:55 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

6336= 63-36=

2

Step-by-step solution

To solve the problem, first we will use the distributive property on the two numbers:

(60+3)-(30+6)

Now, we will use the substitution property to arrange the exercise in the way that is most convenient for us to solve:

60-30+3-6

It is important to pay attention that when we open the second parentheses, the minus sign moved to the two numbers inside.

30-3 = 

27

3

Final Answer

27

Key Points to Remember

Essential concepts to master this topic
  • Distributive Property: Break numbers into tens and ones before subtracting
  • Rearrangement: Group 60-30 first, then 3-6 for easier calculation
  • Check: Add answer back to subtrahend: 27 + 36 = 63 ✓

Common Mistakes

Avoid these frequent errors
  • Forgetting to change signs when opening parentheses
    Don't treat (30+6) as +30+6 when subtracting = wrong calculation! The minus sign must apply to both numbers inside. Always change -(30+6) to -30-6 when opening parentheses.

Practice Quiz

Test your knowledge with interactive questions

\( 140-70= \)

FAQ

Everything you need to know about this question

Why do we break 63 and 36 into smaller parts?

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Breaking numbers like 63=60+3 63 = 60 + 3 makes subtraction much easier! You can subtract the tens first (60-30=30), then handle the ones separately.

What happens with the minus sign when I open the second parentheses?

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The minus sign distributes to both numbers inside! So (30+6) -(30+6) becomes 306 -30-6 . This is super important to remember!

Can I solve 63-36 without breaking it apart?

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Yes! You can use traditional borrowing or mental math. But breaking it apart helps you understand why subtraction works and makes the calculation clearer.

Why do we rearrange to 60-30+3-6?

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Rearranging lets you group easier calculations together! 6030=30 60-30=30 and 36=3 3-6=-3 , then 303=27 30-3=27 .

How do I check if 27 is the right answer?

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Add your answer back to the second number: 27+36 27 + 36 . If you get 63, then 27 is correct! This works because addition and subtraction are opposite operations.

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