Solve Division Sequence: -12 ÷ (-1/4) with Positive Result

Question

-12:-\frac{1}{4}:?>0

Video Solution

Solution Steps

00:00 Complete the missing value
00:11 Negative divided by negative is always positive
00:23 Positive divided by positive is always positive
00:30 Therefore the missing value must be positive
00:34 And this is the solution to the question

Step-by-Step Solution

Let's pay attention to the exercise on the left side in terms of plus and minus signs.

The exercise looks like this:

::?= -:-\text{:?}=

If we solve the equation from left to right, we can see that we first divide a negative number by a negative number.

This means the result we get is a positive number:

:=+ -:-=+

Now the remaining exercise is:

+:?= +:?=

Our result needs to be greater than zero, and therefore we need a positive number, in order to get a positive number in the exercise.

Therefore:

+:+=+ +:+=+

+ > 0

Therefore the answer is +35 +35

Answer

+35 +35