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

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

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

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

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

Q: What happens if I have more complex expressions like this?

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

Order of Operations with Mixed Signs

$9-7+4+5=$

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Understand the problem

$9-7+4+5=$

Step-by-step solution

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

Start with the first operation: $9 - 7 = 2$ .
Next, add 4: $2 + 4 = 6$ .
Finally, add 5: $6 + 5 = 11$ .

So, the correct answer is $11$ .

Final Answer

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

$$ 8 - 2 + 6 = $$

FAQ

Everything you need to know about this question

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

Because order matters in math! $9-7+4$ 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?

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?

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

Is there a trick to check my answer quickly?

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

What happens if I have more complex expressions like this?

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

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