Solve Step-by-Step: 15 + 5 - 10 + 3 Arithmetic Sequence

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

Yes, but it's simple here! Since we only have addition and subtraction, we just work left to right. PEMDAS tells us addition and subtraction have equal priority, so order matters.

Q: What if I accidentally did 15 + 5 + 3 - 10 first?

You'd get $ 23 - 10 = 13 $, which happens to be correct! But this only works because addition is commutative. Don't rely on this shortcut - always follow left-to-right order.

Q: How can I avoid making calculation errors?

Write down each step clearly: $ 15 + 5 = 20 $$ 20 - 10 = 10 $$ 10 + 3 = 13 $This way you can check each step individually!

Q: Why can't I just do all the additions first, then subtractions?

Because order matters in arithmetic! Think of it like following directions: "go 15 steps forward, 5 more forward, 10 back, then 3 forward." You must follow the exact sequence given.

Q: What's the fastest way to solve problems like this?

Practice your mental math with addition and subtraction facts! The faster you can calculate $ 15 + 5 $ and $ 20 - 10 $, the quicker you'll solve these problems accurately.

Basic Arithmetic with Mixed Operations

$15+5-10+3=$

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Understand the problem

$15+5-10+3=$

Step-by-step solution

To solve $15+5-10+3$ :

Start with the first operation: $15 + 5 = 20$ .
Next, subtract 10: $20 - 10 = 10$ .
Finally, add 3: $10 + 3 = 13$ .

So, the correct answer is $13$ .

Final Answer

Key Points to Remember

Essential concepts to master this topic

Order Rule: Work left to right for addition and subtraction
Technique: First calculate 15 + 5 = 20, then continue sequentially
Check: Verify each step: 20 - 10 = 10, then 10 + 3 = 13 ✓

Common Mistakes

Avoid these frequent errors

Adding and subtracting in wrong order
Don't group operations randomly like (15 + 5 + 3) - 10 = 13! This ignores left-to-right order and can give wrong results in more complex problems. Always work through addition and subtraction from left to right in the exact sequence given.

Practice Quiz

Test your knowledge with interactive questions

$$ 8 - 2 + 6 = $$

FAQ

Everything you need to know about this question

Do I need to follow PEMDAS for this problem?

Yes, but it's simple here! Since we only have addition and subtraction, we just work left to right. PEMDAS tells us addition and subtraction have equal priority, so order matters.

What if I accidentally did 15 + 5 + 3 - 10 first?

You'd get $23 - 10 = 13$ , which happens to be correct! But this only works because addition is commutative. Don't rely on this shortcut - always follow left-to-right order.

How can I avoid making calculation errors?

Write down each step clearly:

$15 + 5 = 20$
$20 - 10 = 10$
$10 + 3 = 13$

This way you can check each step individually!

Why can't I just do all the additions first, then subtractions?

Because order matters in arithmetic! Think of it like following directions: "go 15 steps forward, 5 more forward, 10 back, then 3 forward." You must follow the exact sequence given.

What's the fastest way to solve problems like this?

Practice your mental math with addition and subtraction facts! The faster you can calculate $15 + 5$ and $20 - 10$ , the quicker you'll solve these problems accurately.

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