Solve Step-by-Step: 2+6-10+30-2 Arithmetic Sequence

Q: Why can't I just do the easier operations first?

Addition and subtraction have equal priority, so you must work left to right. Doing easier operations first breaks this rule and leads to wrong answers!

Q: Should I always use parentheses like in the solution?

Parentheses aren't required, but they're helpful for organization. You can group operations mentally: think $ (2+6)-10+(30-2) $ to avoid mistakes.

Q: What if I get confused with the negative numbers?

Take it one step at a time! When you get to $ 8-10 $, think "8 minus 10 equals negative 2", then add 28 to get 26.

Q: How do I know if 26 is really the right answer?

Work through the original expression step-by-step: $ 2+6=8 $, $ 8-10=-2 $, $ 30-2=28 $, $ -2+28=26 $ ✓

Q: Is there a faster way to solve this?

You can mentally group easier calculations, but always respect the left-to-right order. Speed comes with practice, not by skipping steps!

Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Solve

00:03 Let's solve each operation separately and then continue

00:09 We can do this according to the commutative law

00:15 Let's solve according to order of operations, solving from left to right

00:20 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution

1

Understand the problem

$2+6-10+30-2=$

2

Step-by-step solution

We solve the exercise according to the order of operations.

We place the addition and subtraction exercises in parentheses in the following way to make it easier to solve:

$(2+6)-10+(30-2)=$

We solve the exercises in parentheses:

$8-10+28=$

We place the subtraction exercise in parentheses:

$(8-10)+28=$

$-2+28=26$

3

Final Answer

26

Key Points to Remember

Essential concepts to master this topic

Rule: Follow left-to-right order for addition and subtraction operations
Technique: Group operations: (2+6)-10+(30-2) = 8-10+28
Check: Verify each step: 8-10=-2, then -2+28=26 ✓

Common Mistakes

Avoid these frequent errors

Performing operations out of order
Don't jump around the expression randomly like doing 30-2 first, then 2+6, then subtracting 10 = wrong sequence! This breaks the left-to-right rule and gives incorrect results. Always work systematically from left to right for same-priority operations.

Practice Quiz

Test your knowledge with interactive questions

$$ 94+12+6= $$

FAQ

Everything you need to know about this question

Why can't I just do the easier operations first?

+

Addition and subtraction have equal priority, so you must work left to right. Doing easier operations first breaks this rule and leads to wrong answers!

Should I always use parentheses like in the solution?

+

Parentheses aren't required, but they're helpful for organization. You can group operations mentally: think $(2+6)-10+(30-2)$ to avoid mistakes.

What if I get confused with the negative numbers?

+

Take it one step at a time! When you get to $8-10$ , think "8 minus 10 equals negative 2", then add 28 to get 26.

How do I know if 26 is really the right answer?

+

Work through the original expression step-by-step: $2+6=8$ , $8-10=-2$ , $30-2=28$ , $-2+28=26$ ✓

Is there a faster way to solve this?

+

You can mentally group easier calculations, but always respect the left-to-right order. Speed comes with practice, not by skipping steps!

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Commutative, Distributive and Associative Properties questions, detailed video solutions, and personalized progress tracking.

📹

Unlimited Video Solutions

Step-by-step explanations for every problem

📊

Progress Analytics

Track your mastery across all topics

🚫

Ad-Free Learning

Focus on math without distractions

No credit card required • Cancel anytime

Solve Step-by-Step: 2+6-10+30-2 Arithmetic Sequence

Order of Operations with Mixed Signs

❤️ Continue Your Math Journey!