Examples with solutions for Multiplication and Division of Signed Mumbers: Complete the missing numbers

Exercise #1

?:+39:+409<0 ?:+39:+409<0

Video Solution

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:

?:+:+= ?:+:+=

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

?:+= ?:+=

If we use a positive number, we'll get a positive number, and then in the next exercise, dividing a positive number by a positive number would result in a number greater than zero.

Therefore, we need to divide a negative number by a positive number in order to get a negative number.

Therefore:

:+= -:+=-

:+= -:+=-

<0 - < 0

Therefore the answer is 98 -98

Answer

98 -98

Exercise #2

Select the compatible sign for the following expression:

+2:?:+12<0 +2:?:+12<0

Video Solution

Step-by-Step Solution

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

The exercise looks like this:

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

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

+:? +:\text{?}

Since the next operation is also division by a positive number, we need a negative number in order for the result to be less than 0:

+::+= +:-:+=

:+= -:+=-

<0 - < 0

Therefore the answer is 40 -40

Answer

40 -40

Exercise #3

Insert the compatible sign for the following expression:

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

Video Solution

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}

Answer

14 -\frac{1}{4}