Solve the Integer Chain: 25-5-3-17+13 Step-by-Step

Integer Operations with Sequential Calculations

25−5−3−17+13= 25-5-3-17+13=

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Addition and subtraction are at the same level according to the order of operations hierarchy, thus we solve from left to right
00:10 We continue to solve from left to right
00:25 This is the solution!

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

25−5−3−17+13= 25-5-3-17+13=

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:

25−5=20 25-5=20

20−3=17 20-3=17

17−17=0 17-17=0

0+13=13 0+13=13

3

Final Answer

13 13

Key Points to Remember

Essential concepts to master this topic
  • Left-to-Right Rule: Addition and subtraction have equal priority, calculate sequentially
  • Step-by-Step Method: 25-5=20, then 20-3=17, then 17-17=0
  • Final Check: Verify each step leads to final answer: 0+13=13 ✓

Common Mistakes

Avoid these frequent errors
  • Calculating all subtractions first before additions
    Don't group subtractions like (25-5-3-17)+13 = 0+13 = 13! This accidentally gives the right answer but uses wrong method. Always work left to right when operations have equal priority.

Practice Quiz

Test your knowledge with interactive questions

\( 8 - 2 + 6 = \)

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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While that might work sometimes, it's not the correct mathematical approach. Order of operations requires you to work left to right when dealing with addition and subtraction only.

What if I get confused about which operation to do first?

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Remember: when you only have addition and subtraction, they have equal priority. Simply work from left to right, one operation at a time!

How can I avoid making calculation errors in long chains?

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Write down each step clearly:

  • 25 - 5 = 20
  • 20 - 3 = 17
  • 17 - 17 = 0
  • 0 + 13 = 13

This way you can easily spot and fix any mistakes!

Is there a faster way to solve this?

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You could rewrite it as: 25+13−5−3−17=38−25=13 25 + 13 - 5 - 3 - 17 = 38 - 25 = 13 , but the step-by-step method is more reliable and helps avoid errors.

What if I accidentally get a different answer?

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Double-check each step! The most common errors happen in basic arithmetic. Go through your work step-by-step and recalculate any questionable operations.

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