Solve the Division Equation: Finding the Number That Makes ?÷70 = 0

Division Properties with Zero Quotients

?:70=0 ?:70=0

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Find the unknown
00:03 0 divided by any number is always equal to 0
00:08 This is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution
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Understand the problem

?:70=0 ?:70=0

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Step-by-step solution

To solve this problem, we'll follow these steps:

  • Step 1: Interpret the given equation: ?:70=0 ?:70 = 0 .
  • Step 2: Recognize that in division ab=0 \frac{a}{b} = 0 , the numerator a a must be zero.
  • Step 3: Conclude that the unknown ? ? must equal zero because only 0 0 divided by 70 70 results in 0 0 .

Now, let's work through each step:
Step 1: The problem involves an equation where ?70=0 \frac{?}{70} = 0 .
Step 2: We know that the result of a division being zero (?70=0 \frac{?}{70} = 0 ) implies that the numerator ? ? must itself be zero — since any nonzero numerator would yield a nonzero quotient.
Step 3: Hence, we conclude that the unknown ?=0 ? = 0 because the only value that satisfies the division condition of 0 0 is if the numerator itself is zero.

Therefore, the solution to the problem is ?=0 ? = 0 .

3

Final Answer

0

Key Points to Remember

Essential concepts to master this topic
  • Zero Division Rule: When any number divides to equal zero, numerator must be zero
  • Testing Method: Check 0÷70=0 0 ÷ 70 = 0 while 7÷700 7 ÷ 70 ≠ 0
  • Verification: Substitute back into original equation: 0÷70=0 0 ÷ 70 = 0

Common Mistakes

Avoid these frequent errors
  • Thinking the denominator must equal zero
    Don't assume 70 = 0 when the quotient is zero = division by zero error! This creates an undefined situation, not zero. Always remember that only when the numerator is zero (and denominator is non-zero) does division equal zero.

Practice Quiz

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\( 1\times1000= \)

FAQ

Everything you need to know about this question

Why can't 70 divided by something equal 0?

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Great question! When we have ?÷70=0 ? ÷ 70 = 0 , we're looking for what number divided by 70 gives us 0. Since 70 is positive, only zero divided by 70 can equal zero.

What if I chose 1 as my answer?

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Let's check: 1÷70=170 1 ÷ 70 = \frac{1}{70} , which is a small positive number, not zero. Only when the numerator is 0 does division result in 0.

Could 70 work as the answer?

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Let's test it: 70÷70=1 70 ÷ 70 = 1 , not 0. Remember, any number divided by itself equals 1, never 0.

Is there a pattern I can remember?

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Yes! Zero divided by any non-zero number always equals zero. So whenever you see ?÷(non-zero number)=0 ? ÷ \text{(non-zero number)} = 0 , the answer is always 0!

What would happen if we had 0 ÷ 0?

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That's undefined in mathematics! We can't divide zero by zero. But in our problem, we have 0÷70 0 ÷ 70 , which is perfectly fine and equals 0.

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