Solve the Arithmetic Sequence: 3+5+4-6

Q: Do I need to follow PEMDAS for this problem?

Since this expression only has addition and subtraction, you simply work from left to right. PEMDAS matters more when you have parentheses, multiplication, or division mixed in.

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

While it might seem logical, order matters in mathematics! Working left to right ensures you handle operations correctly, especially when dealing with negative numbers or more complex expressions.

Q: What if I get a different answer?

Double-check each step: $ 3+5=8 $, then $ 8+4=12 $, finally $ 12-6=6 $. Make sure you're working from left to right!

Q: Is there a faster way to solve this?

With practice, you can do mental math, but it's always safer to work step by step. This prevents careless errors and builds good mathematical habits for harder problems.

Q: How do I know when to add or subtract?

Look at the operation signs carefully: + means add, - means subtract. In $ 3+5+4-6 $, you add the first three numbers, then subtract the last one.

Basic Arithmetic with Mixed Operations

$3+5+4-6=$

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Understand the problem

$3+5+4-6=$

Step-by-step solution

To solve the expression $3+5+4-6$ , follow these steps:

Step 1: Add the first two numbers: $3 + 5 = 8$ .

Step 2: Add the next number to the result: $8 + 4 = 12$ .

Step 3: Subtract the last number from the result: $12 - 6 = 6$ .

Therefore, the answer is $6$ .

Final Answer

Key Points to Remember

Essential concepts to master this topic

Order: Work from left to right with addition and subtraction
Technique: Calculate step by step: 3+5=8, then 8+4=12, finally 12-6=6
Check: Verify by recalculating: 3+5+4-6 = 8+4-6 = 12-6 = 6 ✓

Common Mistakes

Avoid these frequent errors

Adding all positive numbers first, then subtracting
Don't calculate 3+5+4=12, then subtract 6 = wrong grouping! This ignores proper left-to-right order and can lead to confusion with negative numbers. Always work strictly from left to right with addition and subtraction.

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

Do I need to follow PEMDAS for this problem?

Since this expression only has addition and subtraction, you simply work from left to right. PEMDAS matters more when you have parentheses, multiplication, or division mixed in.

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

While it might seem logical, order matters in mathematics! Working left to right ensures you handle operations correctly, especially when dealing with negative numbers or more complex expressions.

What if I get a different answer?

Double-check each step: $3+5=8$ , then $8+4=12$ , finally $12-6=6$ . Make sure you're working from left to right!

Is there a faster way to solve this?

With practice, you can do mental math, but it's always safer to work step by step. This prevents careless errors and builds good mathematical habits for harder problems.

How do I know when to add or subtract?

Look at the operation signs carefully: + means add, - means subtract. In $3+5+4-6$ , you add the first three numbers, then subtract the last one.

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