Solve the Integer Expression: -7 + 5 + 2 + 1

Integer Addition with Negative Numbers

7+5+2+1= -7+5+2+1=

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Use the substitution law in order to rearrange the exercise
00:11 Addition and subtraction are at the same level according to the order of operations hierarchy, thus we solve from left to right
00:20 This is the solution!

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

7+5+2+1= -7+5+2+1=

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:

7+5=2 -7+5=-2

2+2=0 -2+2=0

0+1=1 0+1=1

3

Final Answer

1 1

Key Points to Remember

Essential concepts to master this topic
  • Order: Work from left to right with addition operations
  • Technique: Combine 7+5=2 -7 + 5 = -2 , then add remaining terms
  • Check: Count total: 3 positive terms (+8) minus 7 equals 1 ✓

Common Mistakes

Avoid these frequent errors
  • Adding all positive numbers first, then subtracting
    Don't add 5+2+1=8 then subtract 7 to get 1! This accidentally gives the right answer here but breaks the left-to-right rule. Always follow order of operations and work systematically from left to right.

Practice Quiz

Test your knowledge with interactive questions

\( 0:7+1= \)

FAQ

Everything you need to know about this question

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

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Order of operations requires left-to-right work when you only have addition and subtraction. While grouping might work sometimes, it can lead to sign errors in more complex problems.

How do I add a negative number like -7 + 5?

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Think of it as starting at -7 on a number line and moving 5 steps to the right. You end up at -2. The negative number 'takes away' from the positive number.

What if I get confused with the signs?

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Use a number line or think in terms of owing money (negative) and having money (positive). 7+5 -7 + 5 means you owe $7 but have $5, so you still owe $2.

Is there a faster way to solve this?

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Yes! Add all positive numbers: 5+2+1=8 5 + 2 + 1 = 8 , then subtract the negative: 87=1 8 - 7 = 1 . But always double-check by working left to right!

How can I check if my answer is right?

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Try different approaches: work left-to-right, then try grouping positive/negative numbers. If you get the same answer both ways, you're correct!

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