Solve the Expression: Evaluating 10-3+7-5 Step by Step

Order of Operations with Integer Subtraction

103+75= 10-3+7-5= ?

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Solve the following exercise
00:04 Solve the expression according to the correct order of operations, from left to right
00:16 Each time solve one operation and then continue
00:26 This is the solution

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

103+75= 10-3+7-5= ?

2

Step-by-step solution

According to the order of operations, solve the exercise from left to right since the only operations in it are addition and subtraction:

103=7 10-3=7

7+7=14 7+7=14

145=9 14-5=9

3

Final Answer

9

Key Points to Remember

Essential concepts to master this topic
  • Rule: Work from left to right when only addition and subtraction
  • Technique: Solve step by step: 10-3=7, then 7+7=14, finally 14-5=9
  • Check: Count operations: subtract 3, add 7, subtract 5 gives net change of -1 ✓

Common Mistakes

Avoid these frequent errors
  • Doing subtraction before addition regardless of position
    Don't solve 10-(3+7)+5 by grouping additions first = wrong result of 5! Addition and subtraction have equal priority, so position matters. Always work strictly from left to right when only these operations appear.

Practice Quiz

Test your knowledge with interactive questions

\( 8 - 2 + 6 = \)

FAQ

Everything you need to know about this question

Why do I work left to right instead of doing all additions first?

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Addition and subtraction have equal priority in order of operations! When operations have the same priority, you must work left to right. Doing additions first would change the meaning of the expression.

What if I got 5 as my answer?

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You likely calculated 10(3+75) 10-(3+7-5) instead of working left to right. Remember: no parentheses means no grouping - just go step by step from left to right!

How can I double-check my work?

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Try thinking of it as a number line: start at 10, move left 3 spaces (to 7), move right 7 spaces (to 14), then move left 5 spaces (to 9). Or verify each step: 103=7 10-3=7 , 7+7=14 7+7=14 , 145=9 14-5=9 .

Is there a shortcut for these problems?

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Yes! You can combine like operations: 10+7=17 10+7=17 and 3+5=8 3+5=8 , then 178=9 17-8=9 . But be careful - this only works when you keep track of positive and negative signs correctly.

What's the difference between this and PEMDAS?

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This problem only uses addition and subtraction, which are at the same level in PEMDAS. When operations have equal priority, you work left to right - no other PEMDAS rules needed here!

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