Solve the Expression: 100+5-100+5 Step by Step

Addition and Subtraction with Positive and Negative Terms

100+5100+5 100+5-100+5

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:04 Let's solve this expression together.
00:07 We have only addition and subtraction here.
00:11 So, we can rearrange using the commutative law.
00:15 Let's rearrange these numbers to make it easier.
00:22 Now, solve from left to right, step by step.
00:29 And that's how we find the solution.

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

100+5100+5 100+5-100+5

2

Step-by-step solution

100+5100+5=105100+5=5+5=10 100+5-100+5=105-100+5=5+5=10

3

Final Answer

10

Key Points to Remember

Essential concepts to master this topic
  • Order of Operations: Calculate from left to right when only addition and subtraction
  • Technique: Group like terms: 100 - 100 cancels to 0, then 5 + 5 = 10
  • Check: Work backwards: 10 - 5 = 5, then 5 + 100 = 105, then 105 - 5 = 100 ✓

Common Mistakes

Avoid these frequent errors
  • Adding all positive numbers first, then subtracting
    Don't calculate 100 + 5 + 5 = 110, then subtract 100 = 10! This ignores the order of operations and position of the subtraction sign. Always work from left to right: 100 + 5 - 100 + 5.

Practice Quiz

Test your knowledge with interactive questions

\( 0:7+1= \)

FAQ

Everything you need to know about this question

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

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Because the subtraction sign belongs to the 100, making it -100. You must follow the order from left to right: 100+5100+5=105100+5=5+5=10 100+5-100+5 = 105-100+5 = 5+5 = 10

Is there a faster way to solve this?

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Yes! Notice that 100 and -100 cancel out, leaving just 5+5=10 5 + 5 = 10 . This grouping method works when you have opposite terms.

What if the numbers were in a different order?

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The answer would be the same! Addition and subtraction can be rearranged as long as you keep each number with its correct sign. 5+100100+5 5 + 100 - 100 + 5 still equals 10.

How do I avoid making calculation errors?

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Work one step at a time from left to right. Write down each intermediate result: 105, then 5, then 10. This helps you catch mistakes early!

Why is the answer 10 and not 0?

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Because we have two +5 terms! The expression simplifies to 0+5+5=10 0 + 5 + 5 = 10 after the 100 and -100 cancel each other out.

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