Solve the Number Chain: 32-4-19+3-7 Step by Step

Order of Operations with Integer Chains

32419+37= 32-4-19+3-7=

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Solve the following expression
00:03 Solve according to the correct order of operations, from left to right
00:06 Mark parentheses around each operation and solve them first
00:19 Continue to solve using the same method
00:24 This is the solution

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

32419+37= 32-4-19+3-7=

2

Step-by-step solution

Due to the fact that the exercise only involves addition and subtraction operations, we will solve it from left to right:

324=28 32-4=28

2819=9 28-19=9

9+3=12 9+3=12

127=5 12-7=5

3

Final Answer

5 5

Key Points to Remember

Essential concepts to master this topic
  • Rule: Addition and subtraction have equal priority, solve left to right
  • Technique: Work step by step: 32-4=28, then 28-19=9, continue sequentially
  • Check: Verify each step leads to final answer of 5 ✓

Common Mistakes

Avoid these frequent errors
  • Solving operations out of order
    Don't jump around solving 32-4-19+3-7 by doing +3-7 first = wrong grouping! This ignores left-to-right order and gives incorrect results. Always work systematically from left to right when operations have equal priority.

Practice Quiz

Test your knowledge with interactive questions

\( 0:7+1= \)

FAQ

Everything you need to know about this question

Why can't I just add all the positive numbers and subtract all the negative numbers?

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Because order matters in mathematics! The expression 32419+37 32-4-19+3-7 must be solved from left to right. Rearranging changes the meaning and gives wrong answers.

What if I accidentally skip a step?

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That's why we work one operation at a time! Write down each intermediate result: 32-4=28, then 28-19=9, then 9+3=12, finally 12-7=5. This prevents errors and makes checking easier.

How do I remember to go left to right?

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Think of it like reading a sentence - you read from left to right! When addition and subtraction are mixed together, treat them with equal importance and solve in the order they appear.

What if I get a different answer?

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Go back and check each step carefully. The most common error is working out of order. Make sure you calculated: 324=28 32-4=28 , 2819=9 28-19=9 , 9+3=12 9+3=12 , 127=5 12-7=5

Is this the same as PEMDAS?

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Yes! This follows the MD and AS rules from PEMDAS. Since we only have addition and subtraction (no parentheses, exponents, or multiplication/division), we work left to right as these operations have equal priority.

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