Convert Clock Format 0:15 to Decimal Time Notation

Q: Why isn't the answer 15 since that's the bigger number?

In division, we're asking "how many groups of 15 can we make from 0?" Since we have nothing (0) to divide, we can't make any groups. The answer is always 0 when zero is divided by any non-zero number.

Q: What's the difference between 0:15 and 15:0?

Huge difference! $ 0:15 = 0 $ is perfectly fine, but $ 15:0 $ is undefined because you cannot divide by zero. Order matters in division!

Q: Is this the same as 0 × 15?

No! $ 0 \times 15 = 0 $ and $ 0 \div 15 = 0 $ both equal 0, but they're different operations. Division asks "how many groups?" while multiplication asks "what's the total?"

Q: How do I remember this zero division rule?

Think of it practically: "If you have 0 cookies to share among 15 friends, each friend gets 0 cookies." Zero divided by anything (except zero) is always zero!

Q: Could 0:15 mean something else in math?

In some contexts, a:b can mean ratios (like 0:15 ratio), but in this problem it clearly means division based on the answer choices. Context is key!

Division Properties with Zero Numerators

$0:15=$

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Step-by-step video solution

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00:00 Solve

00:03 0 divided by any number is always equal to 0

00:08 And this is the solution to the question

Step-by-step written solution

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Understand the problem

$0:15=$

Step-by-step solution

Let's solve this problem step-by-step:

To determine the result of $0:15$ , we recognize that this symbol represents division, with zero as the numerator and fifteen as the denominator.
The operation is thus $0 \div 15$ .

Recall the mathematical property related to division: when zero is divided by any non-zero number, the result is always zero. This property is crucial and can be mathematically stated as follows:

$0 \div a = 0$ for any $a \neq 0$ .

In our problem, the denominator is 15, which is clearly a non-zero number. Therefore, we can apply this property directly.

By applying the property:
$0 \div 15 = 0$ .

Thus, the calculation leads us to conclude that the value of $0:15$ is indeed:

$0$

Final Answer

Key Points to Remember

Essential concepts to master this topic

Zero Property: Any zero divided by non-zero number equals zero
Technique: Apply $0 \div 15 = 0$ directly using division rule
Check: Verify that $0 \times 15 = 0$ confirms our answer ✓

Common Mistakes

Avoid these frequent errors

Confusing division notation with time format
Don't read 0:15 as "zero hours fifteen minutes" = wrong context! This is mathematical division notation, not time. Always recognize that a:b means a ÷ b in mathematical contexts.

Practice Quiz

Test your knowledge with interactive questions

$1\times1000=$

FAQ

Everything you need to know about this question

Why isn't the answer 15 since that's the bigger number?

In division, we're asking "how many groups of 15 can we make from 0?" Since we have nothing (0) to divide, we can't make any groups. The answer is always 0 when zero is divided by any non-zero number.

What's the difference between 0:15 and 15:0?

Huge difference! $0:15 = 0$ is perfectly fine, but $15:0$ is undefined because you cannot divide by zero. Order matters in division!

Is this the same as 0 × 15?

No! $0 \times 15 = 0$ and $0 \div 15 = 0$ both equal 0, but they're different operations. Division asks "how many groups?" while multiplication asks "what's the total?"

How do I remember this zero division rule?

Think of it practically: "If you have 0 cookies to share among 15 friends, each friend gets 0 cookies." Zero divided by anything (except zero) is always zero!

Could 0:15 mean something else in math?

In some contexts, a:b can mean ratios (like 0:15 ratio), but in this problem it clearly means division based on the answer choices. Context is key!

What if I forgot this rule during a test?

Use the relationship between multiplication and division! Since $? \times 15 = 0$ , what number times 15 gives 0? Only zero works, so $0 \div 15 = 0$ .

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