Solve the Arithmetic Expression: 14-5-9+7+2 Step by Step

Order of Operations with Mixed Addition Subtraction

1459+7+2= 14-5-9+7+2=

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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 right to left
00:22 That's the solution!

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

1459+7+2= 14-5-9+7+2=

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:

145=9 14-5=9

99=0 9-9=0

0+7=7 0+7=7

7+2=9 7+2=9

3

Final Answer

9 9

Key Points to Remember

Essential concepts to master this topic
  • Rule: When only addition and subtraction appear, work left to right
  • Technique: Calculate step by step: 14-5=9, then 9-9=0, then 0+7=7
  • Check: Verify each step gives the same result when calculated differently ✓

Common Mistakes

Avoid these frequent errors
  • Adding and subtracting in random order instead of left to right
    Don't jump around the expression doing 14+7+2-5-9 = wrong answer! This ignores the order of operations and gives 19 instead of 9. 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 can't I just add all positive numbers and subtract all negative numbers?

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Because order matters in arithmetic! The expression 1459+7+2 14-5-9+7+2 must be calculated left to right. If you group them as (14+7+2)-(5+9) = 23-14 = 9, you get the right answer by luck, but this method doesn't always work.

What if I accidentally skip a step?

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Write down every single step! Going from 1459+7+2 14-5-9+7+2 straight to the answer is risky. Show: 14-5=9, then 9-9=0, then 0+7=7, then 7+2=9.

Is there a faster way to solve this?

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You can mentally group some operations, but always follow left-to-right order. For example: 14-5=9, then notice 9-9=0, so you only need 0+7+2=9. But never skip the systematic approach until you're very confident!

What if I get a different answer?

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Go back and check each step carefully. Common errors include: mixing up signs, calculating out of order, or making basic arithmetic mistakes. Double-check each subtraction and addition individually.

Do I need parentheses for this type of problem?

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No parentheses needed! When you only have addition and subtraction, the left-to-right rule is clear. Parentheses would only be necessary if you wanted to change the natural order of operations.

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