Examples with solutions for Multiplication and Division of Signed Mumbers: Multiplication of a negative number by a positive number

Exercise #1

Complete the following exercise:

1⋅(−1)= 1\cdot(-1)=

Video Solution

Step-by-Step Solution

Let's remember the rule:

(+x)×(−x)=−x (+x)\times(-x)=-x

Therefore, the sign of the exercise result will be negative:

+1×−1=−1 +1\times-1=-1

Answer

−1 -1

Exercise #2

Solve the following exercise:

(−10)⋅2= (-10)\cdot2=

Video Solution

Step-by-Step Solution

Let's recall the rule:

(+x)×(−x)=−x (+x)\times(-x)=-x

Therefore, the sign of the exercise result will be negative:

−10×+2=−20 -10\times+2=-20

Answer

−20 -20

Exercise #3

Complete the following exercise:

30⋅(−2)= 30\cdot(-2)=

Video Solution

Step-by-Step Solution

Let's recall the law:

(+x)×(−x)=−x (+x)\times(-x)=-x

Therefore, the sign of the exercise result will be negative:

+30×−2=−60 +30\times-2=-60

Answer

−60 -60

Exercise #4

Complete the following exercise:

10⋅(−1)= 10\cdot(-1)=

Video Solution

Step-by-Step Solution

Let's recall the rule:

(+x)×(−x)=−x (+x)\times(-x)=-x

Therefore, the sign of the exercise result will be negative:

+10×−1=−10 +10\times-1=-10

Answer

−10 -10

Exercise #5

Complete the following exercise:

(−8)⋅3= (-8)\cdot3=

Video Solution

Step-by-Step Solution

Let's remember the rule:

(+x)×(−x)=−x (+x)\times(-x)=-x

Therefore, the sign of the exercise result will be negative:

−8×+3=−24 -8\times+3=-24

Answer

−24 -24

Exercise #6

Complete the following exercise:

3⋅(−4)= 3\cdot(-4)=

Video Solution

Step-by-Step Solution

Let's remember the rule:

(+x)×(−x)=−x (+x)\times(-x)=-x

Therefore, the sign of the exercise result will be negative:

+3×−4=−12 +3\times-4=-12

Answer

−12 -12

Exercise #7

Complete the following exercise:

2⋅(−7)= 2\cdot(-7)=

Video Solution

Step-by-Step Solution

Let's recall the rule:

(+x)×(−x)=−x (+x)\times(-x)=-x

Therefore, the sign of the exercise result will be negative:

+2×−7=−14 +2\times-7=-14

Answer

−14 -14

Exercise #8

Complete the following exercise:

(−6)⋅2= (-6)\cdot2=

Video Solution

Step-by-Step Solution

Let's recall the rule:

(+x)×(−x)=−x (+x)\times(-x)=-x

Therefore, the sign of the exercise result will be negative:

−6×+2=−12 -6\times+2=-12

Answer

−12 -12

Exercise #9

Complete the following exercise:

(−1)⋅4= (-1)\cdot4=

Video Solution

Step-by-Step Solution

Let's remember the rule:

(+x)×(−x)=−x (+x)\times(-x)=-x

Therefore, the sign of the exercise result will be negative:

−1×+4=−4 -1\times+4=-4

Answer

−4 -4

Exercise #10

Complete the following exercise:

2⋅(−4)= 2\cdot(-4)=

Video Solution

Step-by-Step Solution

Let's recall the rule:

(+x)×(−x)=−x (+x)\times(-x)=-x

Therefore, the sign of the exercise result will be negative:

+2×−4=−8 +2\times-4=-8

Answer

−8 -8

Exercise #11

(+9)×(−4)= (+9)\times(-4)=

Video Solution

Step-by-Step Solution

Due to the fact that we are multiplying a positive number by a negative number, the result must be a negative number:

+×−=− +\times-=-

Therefore:

+9×−4=−36 +9\times-4=-36

Answer

−36 -36