Solve the Number Sequence: 7+3-5+6 Step by Step

Q: Why can't I just add all the positive numbers and subtract the negative ones?

While this might work for some problems, it violates the order of operations. Addition and subtraction have equal priority, so you must work left to right. Breaking this rule will give wrong answers in more complex expressions.

Q: What if I get confused keeping track of the steps?

Write down each step clearly! Start with $ 7+3-5+6 $, then show $ 10-5+6 $, then $ 5+6 $, and finally $ 11 $. This prevents mistakes and makes checking easier.

Q: Is there a faster way to solve this?

You could group positive and negative terms: $ (7+3+6) + (-5) = 16-5 = 11 $, but be careful! This only works when you have pure addition and subtraction. Stick to left-to-right for guaranteed accuracy.

Q: How do I check if my answer is correct?

Substitute your answer back or recalculate using a different grouping. For example: $ 7+(3-5)+6 = 7+(-2)+6 = 11 $. If you get the same result, you're right!

Q: What's the most important thing to remember?

For addition and subtraction chains, always work left to right! Don't skip around or group by positive/negative signs unless you're absolutely sure about the rules.

Order of Operations with Mixed Addition and Subtraction

$7+3-5+6=$

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Understand the problem

$7+3-5+6=$

Step-by-step solution

To solve $7+3-5+6$ :

Start with the first operation: $7 + 3 = 10$ .
Next, subtract 5: $10 - 5 = 5$ .
Finally, add 6: $5 + 6 = 11$ .

So, the correct answer is $11$ .

Final Answer

Key Points to Remember

Essential concepts to master this topic

Rule: Work from left to right when operations have equal priority
Technique: Calculate step by step: 7+3=10, then 10-5=5, then 5+6=11
Check: Count operations and verify each step equals expected intermediate results ✓

Common Mistakes

Avoid these frequent errors

Adding all positive numbers first, then subtracting
Don't do 7+3+6-5 = 16-5 = 11 by grouping signs first! This accidentally gives the right answer here but breaks the left-to-right rule. Always work strictly left to right for 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 the positive numbers and subtract the negative ones?

While this might work for some problems, it violates the order of operations. Addition and subtraction have equal priority, so you must work left to right. Breaking this rule will give wrong answers in more complex expressions.

What if I get confused keeping track of the steps?

Write down each step clearly! Start with $7+3-5+6$ , then show $10-5+6$ , then $5+6$ , and finally $11$ . This prevents mistakes and makes checking easier.

Is there a faster way to solve this?

You could group positive and negative terms: $(7+3+6) + (-5) = 16-5 = 11$ , but be careful! This only works when you have pure addition and subtraction. Stick to left-to-right for guaranteed accuracy.

How do I check if my answer is correct?

Substitute your answer back or recalculate using a different grouping. For example: $7+(3-5)+6 = 7+(-2)+6 = 11$ . If you get the same result, you're right!

What's the most important thing to remember?

For addition and subtraction chains, always work left to right! Don't skip around or group by positive/negative signs unless you're absolutely sure about the rules.

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