Solve the Number Sequence: 0, +15, -16, ?0

Division by Zero with Comparison Operators

Fill in the missing symbol (?):

0:+15:16?0 0:+15:-16\text{?}0

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:06 Let's start by completing the correct sign.
00:11 We'll solve from left to right, one step at a time.
00:16 Remember, we'll write division as a fraction.
00:19 Zero divided by any number is always zero.
00:23 Let's substitute in our example and keep solving.
00:37 Again, zero divided by any number gives us zero.
00:43 And that's how we find the solution!

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Fill in the missing symbol (?):

0:+15:16?0 0:+15:-16\text{?}0

2

Step-by-step solution

Let's solve the exercise from left to right:

015= \frac{0}{15}=

Remember the formula:

0x=0 \frac{0}{x}=0

If we divide zero by any number, the result will always be zero.

Now we are left with the following exercise:

0:16?0 0:-16?0

Let's solve the exercise:

016= \frac{0}{-16}=

If we remember the formula above, we should see that the result is zero.

The final exercise will look like this:

0?0 0\text{?}0

Therefore, the missing sign is:

0=0 0=0

3

Final Answer

=

Key Points to Remember

Essential concepts to master this topic
  • Zero Division Rule: Any number divided by zero equals zero
  • Technique: Solve left to right: 015=0 \frac{0}{15} = 0 , then 016=0 \frac{0}{-16} = 0
  • Check: Final comparison 0 = 0 is true, so equals sign is correct ✓

Common Mistakes

Avoid these frequent errors
  • Thinking zero divided by a number is undefined
    Don't confuse 0÷15 with 15÷0 = undefined result! Zero divided by any non-zero number always equals zero, but dividing BY zero is undefined. Always remember: zero as numerator gives zero, zero as denominator is undefined.

Practice Quiz

Test your knowledge with interactive questions

Solve the following exercise:

\( (+6)\cdot(+9)= \)

FAQ

Everything you need to know about this question

What's the difference between 0÷5 and 5÷0?

+

0÷5 = 0 (zero divided by any number equals zero), but 5÷0 is undefined (you cannot divide by zero). The position of zero matters!

Why does 0 divided by any number equal 0?

+

Think of division as "how many groups?" If you have 0 items to divide into any number of groups, each group gets 0 items. So 0x=0 \frac{0}{x} = 0 for any non-zero x.

Does the sign of the divisor matter when dividing zero?

+

No! Whether you divide zero by a positive or negative number, the result is always zero. 015=0 \frac{0}{15} = 0 and 016=0 \frac{0}{-16} = 0 .

How do I know which comparison symbol to use?

+

After solving both divisions, compare the final results. Since both equal zero, we have 0 compared to 0, which means they are equal, so use the = symbol.

Can I solve this problem in a different order?

+

Yes, but it's best to work left to right following the order of operations. This prevents confusion and helps you track each step clearly.

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