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

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

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

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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