Solve Zero Divided by (7×4): Order of Operations Challenge

Division Properties with Zero as Dividend

0:(7×4)= 0:(7\times4)=

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Step-by-step video solution

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00:00 Solve
00:04 Always solve parentheses first
00:07 0 divided by any number is always equal to 0
00:12 And this is the solution to the question

Step-by-step written solution

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Understand the problem

0:(7×4)= 0:(7\times4)=

2

Step-by-step solution

To solve the expression 0:(7×4) 0:(7 \times 4) , we follow these steps:

  • Step 1: Perform the multiplication inside the parentheses.

The expression 7×4 7 \times 4 simplifies to 28.

  • Step 2: Divide zero by the result of the multiplication.

Thus, we have 0:28 0:28 .

According to division rules, zero divided by any non-zero number is zero. Thus, 0:28=0 0:28 = 0 .

Therefore, the solution to the problem is 0 0 .

3

Final Answer

0

Key Points to Remember

Essential concepts to master this topic
  • Order Rule: Always solve operations inside parentheses first
  • Technique: Calculate 7×4=28 7 \times 4 = 28 before dividing
  • Check: Zero divided by any non-zero number always equals zero ✓

Common Mistakes

Avoid these frequent errors
  • Confusing zero division with division by zero
    Don't think 0:28 0:28 is undefined = wrong answer! This confuses zero as dividend with division by zero (which is undefined). Always remember: zero divided by any non-zero number equals zero.

Practice Quiz

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\( 1\times1000= \)

FAQ

Everything you need to know about this question

Why isn't zero divided by 28 undefined?

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Division by zero is undefined, but zero divided by a number is always zero! Think of it this way: if you have 0 cookies to share among 28 people, each person gets 0 cookies.

Do I really need to calculate 7 × 4 first?

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Yes! Order of operations (PEMDAS/BODMAS) requires you to solve parentheses first. Even though the final answer will be zero, you must follow the correct sequence: 7×4=28 7 \times 4 = 28 , then 0:28=0 0:28 = 0 .

What if the number in parentheses was zero?

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If you had 0:(0) 0:(0) , that would be undefined because you cannot divide by zero. But in our problem, we're dividing zero by 28, which is perfectly fine!

Is there a shortcut since zero is involved?

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While you might recognize that zero divided by anything non-zero is zero, always show your work by following order of operations. This builds good mathematical habits and ensures accuracy.

How can I remember the difference between 0÷a and a÷0?

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0 ÷ a = 0 (zero divided by something), but a ÷ 0 = undefined (something divided by zero). Remember: you can share nothing among people, but you can't share something among zero people!

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