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

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 #3

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 #4

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 #5

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 #6

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 #7

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 #8

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 #9

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 #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