Solve: -3×8÷0×-14 - Order of Operations with Zero

Q: Why can't we just skip the division by zero part?

You cannot skip any part of a mathematical expression! Division by zero makes the entire expression undefined. It's like having a broken link in a chain - the whole thing fails.

Q: What if I get zero divided by zero?

Even $ \frac{0}{0} $ is undefined! It might seem like it should equal 1, but mathematically it's indeterminate and has no single answer.

Q: Does order of operations matter if there's division by zero?

No! Division by zero makes the expression meaningless regardless of operation order. You don't need to follow PEMDAS when division by zero is present.

Q: Can calculators handle division by zero?

Most calculators will show "Error" or "Undefined" when you try to divide by zero. This confirms that the operation is mathematically impossible.

Division by Zero with Operation Chains

$-3\cdot8:0\cdot-14=$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Solve

00:03 Let's write division as a fraction

00:07 It seems we are dividing by 0

00:11 Never divide by 0! Never!

00:16 Therefore there is no solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

$-3\cdot8:0\cdot-14=$

Step-by-step solution

Let's begin by rewriting the exercise as follows:

$\frac{-3\times8}{0}\times-14=$

One should consider that it's not possible to divide a number by zero thus the expression has no meaning.

Final Answer

There is no meaning to the expression

Key Points to Remember

Essential concepts to master this topic

Rule: Division by zero makes any expression undefined or meaningless
Technique: Check for zero denominators before calculating: $\frac{-24}{0}$ stops here
Check: Scan entire expression for division by zero first ✓

Common Mistakes

Avoid these frequent errors

Ignoring division by zero and continuing calculations
Don't calculate -3×8 = -24 first and ignore the ÷0 = meaningless result! Division by zero makes the entire expression undefined, no matter what other operations are present. Always identify division by zero immediately and stop - the expression has no meaning.

Practice Quiz

Test your knowledge with interactive questions

What will be the sign of the result of the next exercise?

$(-2)\cdot(-4)=$

FAQ

Everything you need to know about this question

Why can't we just skip the division by zero part?

You cannot skip any part of a mathematical expression! Division by zero makes the entire expression undefined. It's like having a broken link in a chain - the whole thing fails.

What if I get zero divided by zero?

Even $\frac{0}{0}$ is undefined! It might seem like it should equal 1, but mathematically it's indeterminate and has no single answer.

How do I spot division by zero quickly?

Look for the division symbol ÷ or fraction bars, then check what's in the denominator (bottom of fraction or after ÷). If you see zero there, stop immediately!

Does order of operations matter if there's division by zero?

No! Division by zero makes the expression meaningless regardless of operation order. You don't need to follow PEMDAS when division by zero is present.

Can calculators handle division by zero?

Most calculators will show "Error" or "Undefined" when you try to divide by zero. This confirms that the operation is mathematically impossible.

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