Solve Division Problem: Finding Missing Digit in -95 ÷ -7?0

Division Sign Rules with Negative Numbers

Insert the missing sign:

95:7?0 -95:-7\text{?}0

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:06 Let's figure out the correct sign for this problem.
00:10 We'll look at the signs involved and decide the result's sign. Are you ready?
00:15 A negative divided by a negative always gives us a positive.
00:19 Remember, positive numbers are greater than zero.
00:24 And there you have it! That's how we solve this question.

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Insert the missing sign:

95:7?0 -95:-7\text{?}0

2

Step-by-step solution

Note that we are dividing a negative number by a negative number, therefore:

:=+ -:-=+

This means the final exercise looks like this:

+?0 +?0

Since we got a positive number, it must be greater than zero.

The answer is:

+>0 + > 0

3

Final Answer

>

Key Points to Remember

Essential concepts to master this topic
  • Sign Rule: Negative divided by negative equals positive result
  • Technique: Apply 95÷(70)=+positive -95 ÷ (-70) = +\text{positive} rule first
  • Check: Positive result must be greater than zero, so > is correct ✓

Common Mistakes

Avoid these frequent errors
  • Ignoring the negative signs when dividing
    Don't treat -95 ÷ -70 as if both numbers were positive = wrong sign! This gives a negative result instead of positive. Always apply the rule: negative ÷ negative = positive before comparing to zero.

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 does negative divided by negative equal positive?

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Think of division as "how many groups". When you remove negative groups from a negative amount, you're actually adding positive value! The negatives cancel out to make a positive result.

How do I remember the division sign rules?

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Same signs = positive and different signs = negative. So: + ÷ + = +, - ÷ - = +, but + ÷ - = - and - ÷ + = -.

What if I calculated the actual division first?

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That works too! 95÷(70)=+1.357... -95 ÷ (-70) = +1.357... , which is clearly greater than zero. Either method gets you the right comparison symbol.

Could the answer ever be equal to zero?

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No! For division to equal zero, the numerator must be zero. Since -95 ≠ 0, the result cannot equal zero.

What does the colon symbol mean in math?

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The colon (:) is another way to write division, just like ÷. So 95:70 -95:-70 means the same as 95÷(70) -95 ÷ (-70) .

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