Solve the Number Chain: 25-6-9+7-3 Step by Step

Order of Operations with Mixed Signs

2569+73= 25-6-9+7-3=

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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 hierarchy of the order of operations, thus we solve from left to right
00:09 Continue to solve from left to right
00:26 That's the solution!

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

2569+73= 25-6-9+7-3=

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:

256=19 25-6=19

199=10 19-9=10

10+7=17 10+7=17

173=14 17-3=14

3

Final Answer

14 14

Key Points to Remember

Essential concepts to master this topic
  • Left-to-Right Rule: For addition and subtraction only, calculate from left to right
  • Technique: Track each step: 25-6=19, then 19-9=10, then 10+7=17, finally 17-3=14
  • Check: Verify by working backwards: 14+3=17, 17-7=10, 10+9=19, 19+6=25 ✓

Common Mistakes

Avoid these frequent errors
  • Doing all subtraction first, then all addition
    Don't group operations by type like (25-6-9-3)+7 = 7+7 = 14 by coincidence! This ignores proper order and usually gives wrong answers. Always work strictly from left to right when you only have addition and subtraction.

Practice Quiz

Test your knowledge with interactive questions

\( 8 - 2 + 6 = \)

FAQ

Everything you need to know about this question

Why don't I follow PEMDAS order here?

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PEMDAS only matters when you have different operation types! Since this problem has only addition and subtraction, you simply work from left to right. No parentheses, exponents, multiplication, or division to worry about.

What if I accidentally add instead of subtract?

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This is super common with negative signs! Trace each step carefully and write down what operation you're doing. For example: 25-6 means 'take away 6', giving you 19.

Can I rearrange the numbers to make it easier?

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No! Unlike multiplication, subtraction is not commutative. 25-6 ≠ 6-25. You must keep the exact order given and work from left to right.

How do I keep track of positive and negative numbers?

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Write each step clearly: 256=19 25-6=19 , then 199=10 19-9=10 . Don't try to do multiple steps in your head - show your work to avoid sign errors!

What if my answer doesn't match any of the choices?

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Double-check each step! The most common errors are: mixing up addition/subtraction signs, or trying to group operations incorrectly. Work left to right, one operation at a time.

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