Solve the Number Sequence: 9-7+4+5 Step by Step

Order of Operations with Mixed Signs

97+4+5= 9-7+4+5=

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1

Understand the problem

97+4+5= 9-7+4+5=

2

Step-by-step solution

To solve 97+4+5 9-7+4+5 :

  1. Start with the first operation: 97=2 9 - 7 = 2 .

  2. Next, add 4:2+4=6 2 + 4 = 6 .

  3. Finally, add 5:6+5=11 6 + 5 = 11 .

So, the correct answer is 11 11 .

3

Final Answer

11

Key Points to Remember

Essential concepts to master this topic
  • Left-to-Right Rule: Work from left to right for addition and subtraction
  • Technique: Calculate step by step: 9-7=2, then 2+4=6, then 6+5=11
  • Check: Verify by working backwards: 11-5=6, 6-4=2, 2+7=9 ✓

Common Mistakes

Avoid these frequent errors
  • Adding all positive numbers first then subtracting
    Don't calculate 9+4+5-7 = 11! This ignores the left-to-right order and changes the meaning of the expression. Always follow operations from left to right when they have equal precedence.

Practice Quiz

Test your knowledge with interactive questions

Solve the following equation:

\( 12+7-5\text{ }= \)

FAQ

Everything you need to know about this question

Why can't I just add the positive numbers first?

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Because order matters in math! 97+4 9-7+4 means subtract 7 from 9 first, then add 4. If you add first, you're solving a different problem entirely.

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

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Remember: when operations have the same precedence (like addition and subtraction), always work left to right. Think of reading a sentence!

How do I avoid making calculation errors?

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Write down each step! Don't try to do it all in your head. Show: 97=2 9-7=2 , then 2+4=6 2+4=6 , then 6+5=11 6+5=11 .

Is there a trick to check my answer quickly?

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Yes! Work backwards from your answer. If you got 11, check: 115=6 11-5=6 , 64=2 6-4=2 , 2+7=9 2+7=9

What happens if I have more complex expressions like this?

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The same rule applies! Always follow PEMDAS/BODMAS order, and when operations have equal precedence, work left to right consistently.

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