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

Exercise #1

What is the answer to 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:
(7)(1)= (-7)\cdot(1)=

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:

7×+1=7 -7\times+1=-7

Answer

7 -7

Exercise #3

Complete the following exercise:
(16)(1)= (-16)\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:

16×+1=16 -16\times+1=-16

Answer

16 -16

Exercise #4

What is the answer to the following exercise?

(1)3= (-1)\cdot3=

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:

1×+3=3 -1\times+3=-3

Answer

3 -3

Exercise #5

Complete the following exercise:

(2)1= (-2)\cdot1=

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:

2×+1=2 -2\times+1=-2

Answer

2 -2

Exercise #6

Complete the following exercise:

21= 2\cdot1=

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 positive:

+2×+1=+2 +2\times+1=+2

Answer

2 2

Exercise #7

Complete the following exercise:

(10)(1)= (-10)\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 positive:

10×1=+10 -10\times-1=+10

Answer

10 10

Exercise #8

Complete the following exercise:

(3)(1)= (-3)\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 positive:

3×1=+3 -3\times-1=+3

Answer

3 3

Exercise #9

What is the answer to the following exercise?

61= 6\cdot1=

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 positive:

+6×+1=+6 +6\times+1=+6

Answer

6 6

Exercise #10

What is the answer to the following exercise?

(4)(1)= (-4)\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 positive:

4×1=+4 -4\times-1=+4

Answer

4 4