Solve the Integer Equation: -5+3+4 Step by Step

Integer Addition with Positive and Negative Numbers

5+3+4= -5+3+4=

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Step-by-step video solution

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00:00 Solve
00:03 We will use the commutative law and solve this addition first
00:10 Now let's solve the exercise
00:14 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

5+3+4= -5+3+4=

2

Step-by-step solution

This exercise can be solved in order, but to make it easier, the associative property can be used

5+(3+4)= -5+(3+4)=

5+7= -5+7=

75=2 7-5=2

3

Final Answer

2 2

Key Points to Remember

Essential concepts to master this topic
  • Order: Add integers from left to right or group strategically
  • Technique: Group positives: 3+4=7, then subtract: 7-5=2
  • Check: Substitute result: -5+3+4 should equal 2 ✓

Common Mistakes

Avoid these frequent errors
  • Adding all numbers without considering signs
    Don't add 5+3+4=12 and ignore the negative sign! This gives wrong answers like 12 instead of 2. Always pay attention to positive and negative signs before combining numbers.

Practice Quiz

Test your knowledge with interactive questions

\( 13+5+5= \) ?

FAQ

Everything you need to know about this question

Should I solve from left to right or can I rearrange?

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You can use either method! Left to right: -5+3=-2, then -2+4=2. Or rearrange: -5+(3+4) = -5+7 = 2. Both give the same answer.

Why is -5+7 the same as 7-5?

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When adding a negative and positive number, you're finding the difference! Since 7 is larger than 5, the result is positive: 7-5=2.

How do I know if my final answer should be positive or negative?

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Look at which type of number is larger when you combine them. Here: positives total 7, negative is 5, so 7>5 means the answer is positive.

What if I get confused with the signs?

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Try using a number line! Start at -5, move right 3 spaces to -2, then right 4 more spaces to +2. This visual method helps avoid sign errors.

Can I group the numbers differently?

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Yes! The associative property lets you group addition any way: (-5+3)+4 or -5+(3+4). Both equal 2, so choose whichever feels easier!

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