Solve Integer Expression: -5+4+1-3 Step by Step

Integer Operations with Left-to-Right Order

Solve:

5+4+13 -5+4+1-3

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:06 Let's tackle addition and subtraction together.
00:16 Solve from left to right.
00:23 Great job! That's the solution!

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Solve:

5+4+13 -5+4+1-3

2

Step-by-step solution

According to the order of operations, addition and subtraction are on the same level and, therefore, must be resolved from left to right.

However, in the exercise we can use the substitution property to make solving simpler.

-5+4+1-3

4+1-5-3

5-5-3

0-3

-3

3

Final Answer

3 -3

Key Points to Remember

Essential concepts to master this topic
  • Order Rule: Addition and subtraction have equal priority, work left to right
  • Technique: Group positive and negative terms: 4+1-5-3 becomes 5-8
  • Check: Verify final answer by substituting back into original expression ✓

Common Mistakes

Avoid these frequent errors
  • Adding all positive numbers first, then subtracting negatives
    Don't calculate -5+4+1-3 as (4+1) + (-5-3) = 5 + (-8) = -3! This accidentally gets the right answer but breaks order of operations. Always work strictly from left to right: -5+4 = -1, then -1+1 = 0, finally 0-3 = -3.

Practice Quiz

Test your knowledge with interactive questions

What is the result of the following equation?

\( 36-4\div2 \)

FAQ

Everything you need to know about this question

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

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While it might work for this problem, it violates the order of operations. Mathematics requires us to follow rules consistently. Addition and subtraction have equal priority, so we must work left to right.

What if I get confused about which direction to go?

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Think of it like reading! Just like you read words from left to right, you solve addition and subtraction from left to right. Start with the first two numbers, get their result, then continue.

Is there a faster way to solve this?

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Yes! You can use the substitution property to rearrange terms: 5+4+13=4+153=58=3 -5+4+1-3 = 4+1-5-3 = 5-8 = -3 . But make sure you understand the left-to-right rule first!

How do I know if my final answer is correct?

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Work through the problem step-by-step again, or try the rearrangement method as a check. Both should give you -3 for this problem.

What's the difference between -5+4 and 4-5?

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They're the same! 5+4=1 -5+4 = -1 and 45=1 4-5 = -1 . Adding a positive number is the same as subtracting its opposite.

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