Multiplication and Division of Signed Mumbers: Complete the missing numbers

Solving the problemDividing numbers with different signsComplete the equationUsing order of arithmetic operationsComplete the missing numberDivision by 0Multiplication of signed numbersDivision between negative numbersMultiplication of a negative number by a neutral numberMultiplication of a negative number by a positive numberMultiplication of negative numbersComplete the following equation using the appropriate signsDetermine the reciprocal of the given numberDividing a negative number by 1 and (-1)Substituting parametersDivision of positive numbersMultiplication of positive numbersDetermine the resulting sign from the exercise
Question 1

\( -45:?<0 \)

Question 2

\( -73:?<0 \)

Question 3

Insert the appropriate sign for the following expression:

\( -12:-8:?>0 \)

Question 4

Insert the compatible sign for the following expression:

\( -2:-1947:?>0 \)

Question 5

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

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

Exercise #1

-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 #2

-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 #3

Insert the appropriate sign for the following expression:

-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 #4

Insert the compatible sign for the following expression:

-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 #5

-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

Question 1

Insert the compatible sign for the following expression:

\( -53:?:+3>0 \)

Question 2

Select the compatible sign for the following expression:

\( +2:?:+12<0 \)

Question 3

\( ?:+39:+409<0 \)

Exercise #6

Insert the compatible sign for the following expression:

-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 #7

Select the compatible sign for the following expression:

+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 #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