Solve the Arithmetic Expression: 3 + 4 - 1 + 40

Order of Operations with Multiple Terms

3+41+40= 3+4-1+40=

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Step-by-step video solution

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00:07 When adding and subtracting, follow the order of operations by solving from left to right.
00:22 And there you have it, that's the solution!

Step-by-step written solution

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1

Understand the problem

3+41+40= 3+4-1+40=

2

Step-by-step solution

According to the rules of the order of arithmetic operations, we solve the exercise from left to right since it only has addition and subtraction operations:

3+4=7 3+4=7

71=6 7-1=6

6+40=46 6+40=46

3

Final Answer

46 46

Key Points to Remember

Essential concepts to master this topic
  • Rule: Work from left to right with addition and subtraction
  • Technique: Calculate step-by-step: 3+4=7, then 7-1=6, then 6+40=46
  • Check: Verify by adding all positive terms and subtracting negative: 3+4+40-1=46 ✓

Common Mistakes

Avoid these frequent errors
  • Calculating operations out of order
    Don't jump around doing 3+40=43 first, then adding 4 and subtracting 1 = wrong answer 46! This ignores left-to-right order and creates calculation errors. Always work systematically from left to right when operations have equal priority.

Practice Quiz

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\( 0:7+1= \)

FAQ

Everything you need to know about this question

Why do I work from left to right instead of grouping numbers?

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Addition and subtraction have equal priority in order of operations, so we follow the left-to-right rule. This ensures everyone gets the same answer and avoids confusion!

Can I rearrange the numbers to make calculation easier?

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Yes! You can use the commutative property to rearrange: 3+41+40=3+4+401 3+4-1+40 = 3+4+40-1 . Just be careful with the signs when moving terms around.

What if I accidentally get a different answer?

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Don't panic! Go back and check each step carefully. Make sure you're adding and subtracting correctly, and following left-to-right order.

Is there a faster way to solve this?

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You could group positive and negative terms: (3+4+40)+(1)=471=46 (3+4+40) + (-1) = 47-1 = 46 . Both methods work, but left-to-right is more systematic for beginners.

How do I know when to use left-to-right vs PEMDAS?

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Use left-to-right when you only have addition and subtraction (or only multiplication and division). Use full PEMDAS when you have mixed operations like parentheses, exponents, or different operation types.

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