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

Exercise #1

-73:?<0

Video Solution

Step-by-Step Solution

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

The exercise looks like this:

:?= -:\text{?}=

In other words, we need to divide by a number that will give us a result smaller than 0, therefore:

:+= -:+=-

- < 0

So the answer is +4 +4

Answer

+4 +4

Exercise #2

-45:?<0

Video Solution

Step-by-Step Solution

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

The exercise looks like this:

:?= -:\text{?}=

Our result needs to be less than zero, and therefore we need a positive number in order to get a negative result.

Therefore:

:+= -:+=-

- < 0

So the answer is +78 +78

Answer

+78 +78

Exercise #3

-2:-1947:?>0

Video Solution

Step-by-Step Solution

Let's pay attention to the exercise on the left page regarding the 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, so the result will be positive:

:=+ -:-=+

This means that now we need to divide a positive number by some number that will give us a result greater than 0, therefore:

+:+=+ +:+=+

+ > 0

Therefore the answer is +3.3 +3.3

Answer

+3.3 +3.3

Exercise #4

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

::?= -:-\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

Exercise #5

-12:-8:?>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 negative number by a negative number, therefore:

:=+ -:-=+

Now the exercise is:

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

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

Therefore:

+:+=+ +:+=+

+ > 0

Therefore the answer is +190 +\frac{1}{90}

Answer

+190 +\frac{1}{90}

Exercise #6

+2:?:+12<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:

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

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

+:? +:\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

Therefore the answer is 40 -40

Answer

40 -40

Exercise #7

-53:?:+3>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:

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

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

:? -:\text{?}

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

Therefore:

::+= -:-:+=

+:+=+ +:+=+

+ > 0

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

Answer

14 -\frac{1}{4}

Exercise #8

?:+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

Therefore the answer is 98 -98

Answer

98 -98