Solve the Expression: Finding the Correct Operator in -53 ? +3 > 0

Insert the compatible sign for the following expression:

53:?:+3>0 -53:?:+3>0

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Complete the unknown
00:05 Let's assume the unknown is positive
00:14 Negative divided by positive is always negative
00:25 Accordingly, the answer would be less than 0 so it doesn't fit
00:32 Therefore the unknown must be negative
00:36 Negative divided by negative is always positive
00:41 Positive divided by positive is always positive
00:44 Therefore the unknown must be negative
00:47 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

Insert the compatible sign for the following expression:

53:?:+3>0 -53:?:+3>0

2

Step-by-step solution

Let's begin by observing the exercise on the left side whilst paying particular attention to the plus and minus signs.

The exercise looks like this:

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

If we solve the equation from left to right, we can observe that we first divide a negative number by an unidentified integer:

:? -:\text{?}

Our result needs to be greater than zero, therefore our first operation must give us a positive number, so that in the final operation the resulting number will be positive.

Therefore:

::+= -:-:+=

+:+=+ +:+=+

+>0 + > 0

Therefore the answer is 14 -\frac{1}{4}

3

Final Answer

14 -\frac{1}{4}

Practice Quiz

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

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

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