Examples with solutions for Multiplication and Division of Signed Mumbers: Complete the following equation using the appropriate signs

Exercise #1

Fill in the corresponding sign for the following question

(4)(?3)=12 (4)\cdot(?3)=-12

Video Solution

Step-by-Step Solution

Let's consider what we would need to multiply by a positive in order to obtain a negative number.

Let's remember the rule:

(+x)×(x)=x (+x)\times(-x)=-x

Therefore, the answer will be:

3 -3

Answer

() (-)

Exercise #2

Fill in the corresponding sign for the following question

(5)(?3)=15 (-5)\cdot(?3)=15

Video Solution

Step-by-Step Solution

We must first consider what we need to multiply by a negative in order to obtain a positive number.

Let's remember the rule:

(x)×(x)=+x (-x)\times(-x)=+x

Therefore, the answer is as follows:

3 -3

Answer

() (-)

Exercise #3

Fill in the corresponding sign for the following question

(5)(?4)=20 (-5)\cdot(?4)=20

Video Solution

Step-by-Step Solution

We must first consider what value we need to multiply by a negative number in order to obtain a positive number.

Let's remember the rule:

(x)×(x)=+x (-x)\times(-x)=+x

Therefore, the answer is:

4 -4

Answer

() (-)

Exercise #4

Fill in the corresponding sign for the following question

(6)(?5)=30 (-6)\cdot(?5)=30

Video Solution

Step-by-Step Solution

We should first consider which value we need to multiply a negative number by in order to get a positive number.

Let's remember the rule:

(x)×(x)=+x (-x)\times(-x)=+x

Therefore, the answer is:

5 -5

Answer

() (-)

Exercise #5

Fill in the corresponding sign for the following question

(2)(?3)=12 (-2)\cdot(?3)=-12

Video Solution

Step-by-Step Solution

We must first consider which value when multiplied by a negative results in a negative number.

Let's remember the rule:

(x)×(+x)=x (-x)\times(+x)=-x

Therefore, the answer is as follows:

+3 +3

Answer

(+) (+)