Solve the Expression: 34 + 22 - 15 Step by Step

Q: Why can't I do the subtraction first since it's easier?

Order matters! Addition and subtraction have equal priority, so you must work from left to right. Changing the order can give wrong answers in more complex expressions.

Q: What if I made a calculation error?

Double-check each step! First verify $ 34 + 22 = 56 $, then check $ 56 - 15 = 41 $. Breaking it into smaller steps helps catch mistakes.

Q: Is there a faster way to solve this?

You could think of it as $ 34 + 22 - 15 = 34 + (22 - 15) = 34 + 7 = 41 $, but only because addition and subtraction are involved. Stick to left-to-right for consistency!

Q: What if there were parentheses in this problem?

Parentheses always come first! If you saw $ 34 + (22 - 15) $, you'd calculate $ 22 - 15 = 7 $ first, then $ 34 + 7 = 41 $.

Order of Operations with Mixed Addition and Subtraction

Solve:

$34 + 22 - 15$

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Step-by-step video solution

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Step-by-step written solution

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Understand the problem

Solve:

$34 + 22 - 15$

Step-by-step solution

First, perform the addition: $34 + 22 = 56$

Next, perform the subtraction: $56 - 15 = 41$

Final Answer

Key Points to Remember

Essential concepts to master this topic

Rule: Work from left to right when operations have equal priority
Technique: First calculate 34 + 22 = 56, then subtract 15
Check: Verify by working backwards: 41 + 15 = 56, and 56 - 22 = 34 ✓

Common Mistakes

Avoid these frequent errors

Doing subtraction before addition
Don't calculate 22 - 15 = 7 first, then add 34 = 41! This ignores order of operations and can give wrong answers in more complex problems. Always work from left to right when addition and subtraction have equal priority.

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

Why can't I do the subtraction first since it's easier?

Order matters! Addition and subtraction have equal priority, so you must work from left to right. Changing the order can give wrong answers in more complex expressions.

What if I made a calculation error?

Double-check each step! First verify $34 + 22 = 56$ , then check $56 - 15 = 41$ . Breaking it into smaller steps helps catch mistakes.

Is there a faster way to solve this?

You could think of it as $34 + 22 - 15 = 34 + (22 - 15) = 34 + 7 = 41$ , but only because addition and subtraction are involved. Stick to left-to-right for consistency!

How do I remember the order of operations?

For expressions with only addition and subtraction, just remember: work from left to right. Think of it like reading a sentence - start at the beginning and work your way through!

What if there were parentheses in this problem?

Parentheses always come first! If you saw $34 + (22 - 15)$ , you'd calculate $22 - 15 = 7$ first, then $34 + 7 = 41$ .

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