Solve: 1/4 + 0 - 1/4 - 0 | Fraction Operation Challenge

Fraction Operations with Zero Terms

Solve the following exercise:

14+0140= \frac{1}{4}+0-\frac{1}{4}-0=

❤️ Continue Your Math Journey!

We have hundreds of course questions with personalized recommendations + Account 100% premium

Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Solve
00:03 Let's reduce what we can
00:15 Let's use the commutative law and arrange it in a way that's convenient to solve
00:18 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

Solve the following exercise:

14+0140= \frac{1}{4}+0-\frac{1}{4}-0=

2

Step-by-step solution

According to the order of operations rules, due to the fact that the exercise only involves addition and subtraction, we will solve the problem from left to right:

14+0=14 \frac{1}{4}+0=\frac{1}{4}

1414=0 \frac{1}{4}-\frac{1}{4}=0

00=0 0-0=0

3

Final Answer

0 0

Key Points to Remember

Essential concepts to master this topic
  • Addition with Zero: Any number plus zero equals the same number
  • Technique: 14+0=14 \frac{1}{4} + 0 = \frac{1}{4} and 1414=0 \frac{1}{4} - \frac{1}{4} = 0
  • Check: Substitute back: 14+0140=0 \frac{1}{4} + 0 - \frac{1}{4} - 0 = 0

Common Mistakes

Avoid these frequent errors
  • Ignoring the order of operations with fractions and zero
    Don't skip steps and jump to conclusions like 1/4 - 1/4 = 1/2! This ignores proper left-to-right calculation order and zero's properties. Always work step-by-step from left to right: 1/4 + 0 = 1/4, then 1/4 - 1/4 = 0, finally 0 - 0 = 0.

Practice Quiz

Test your knowledge with interactive questions

\( 100+5-100+5 \)

FAQ

Everything you need to know about this question

Why doesn't adding or subtracting zero change anything?

+

Zero is the additive identity! This means any number plus zero equals that same number. For example: 14+0=14 \frac{1}{4} + 0 = \frac{1}{4} and 00=0 0 - 0 = 0 .

Do I really need to show every step when zero is involved?

+

Yes, especially when learning! Writing each step helps you avoid mistakes and shows you understand the order of operations. Even simple problems deserve careful attention.

What if I got 1/2 as my answer instead of 0?

+

You likely made an error with fraction operations. Remember: 1414=0 \frac{1}{4} - \frac{1}{4} = 0 , not 12 \frac{1}{2} . When subtracting identical fractions, the result is always zero.

How do I work from left to right with mixed operations?

+

Since this problem only has addition and subtraction, work from left to right: 14+0=14 \frac{1}{4} + 0 = \frac{1}{4} , then 1414=0 \frac{1}{4} - \frac{1}{4} = 0 , finally 00=0 0 - 0 = 0 .

Why is the final answer 0 and not something else?

+

Because we're adding 14 \frac{1}{4} and then subtracting the same amount 14 \frac{1}{4} ! The zeros don't change anything, so we end up back where we started: zero.

🌟 Unlock Your Math Potential

Get unlimited access to all 18 The Order of Operations questions, detailed video solutions, and personalized progress tracking.

📹

Unlimited Video Solutions

Step-by-step explanations for every problem

📊

Progress Analytics

Track your mastery across all topics

🚫

Ad-Free Learning

Focus on math without distractions

No credit card required • Cancel anytime

More Questions

Click on any question to see the complete solution with step-by-step explanations