Solve Division Problem: 0÷(4+5) Using Order of Operations

Zero Division with Order of Operations

0:(4+5)= 0:(4+5)=

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Step-by-step video solution

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00:00 Solve
00:03 Always solve parentheses first
00:11 0 divided by any number always equals 0
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

0:(4+5)= 0:(4+5)=

2

Step-by-step solution

To solve this problem, we'll follow these steps:

  • Step 1: Evaluate the expression inside the parentheses, 4+54 + 5.
  • Step 2: Perform the division using zero and the result from Step 1.

Now, let's work through each step:
Step 1: Calculate the sum inside the parentheses: 4+5=94 + 5 = 9.
Step 2: Perform the division: 0:9=00 : 9 = 0, because zero divided by any non-zero number is 0.

Therefore, the solution to the problem is 00.

3

Final Answer

0

Key Points to Remember

Essential concepts to master this topic
  • Order: Always calculate inside parentheses first before division
  • Technique: First find 4+5=9 4 + 5 = 9 , then calculate 0÷9 0 ÷ 9
  • Check: Zero divided by any non-zero number always equals zero ✓

Common Mistakes

Avoid these frequent errors
  • Dividing 4 and 5 by zero first
    Don't try to divide 4÷0 or 5÷0 first = undefined! This ignores parentheses and order of operations completely. Always solve what's in parentheses first, then perform the division with zero as the dividend.

Practice Quiz

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\( 1\times1000= \)

FAQ

Everything you need to know about this question

Why can't I just say the answer is 9 since that's what's in parentheses?

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The parentheses don't give you the final answer - they just show you what to calculate first. You still need to divide zero by that result: 0÷9=0 0 ÷ 9 = 0 .

What's the difference between 0÷9 and 9÷0?

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Huge difference! 0÷9=0 0 ÷ 9 = 0 (zero divided by any number is zero), but 9÷0 9 ÷ 0 is undefined (you cannot divide by zero).

Do I always get zero when zero is involved in division?

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Only when zero is the dividend (the number being divided). 0÷any number=0 0 ÷ \text{any number} = 0 , but dividing by zero is impossible!

Why do we follow order of operations here?

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Order of operations ensures everyone gets the same answer! Without it, 0÷(4+5) 0÷(4+5) could be interpreted different ways and give different results.

Can I solve this without parentheses?

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The parentheses are essential here! They tell you to add first. Without them, 0÷4+5 0÷4+5 would mean (0÷4)+5=0+5=5 (0÷4)+5 = 0+5 = 5 - a completely different answer!

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