Examples with solutions for Multiplication and Division of Signed Mumbers: Dividing a negative number by 1 and (-1)

Exercise #1

(0.3):(1)= ? (-0.3):(-1)=\text{ ?}

Video Solution

Step-by-Step Solution

Note that we are dividing two negative numbers, so the result must be a positive number.

Let's rewrite the exercise in the form of a simple fraction:

0.31= \frac{0.3}{1}=

Remember the rule:

x1=x \frac{x}{1}=x

Any number we divide by 1 will be equal to itself, therefore:

0.31=0.3 \frac{0.3}{1}=0.3

Answer

+0.3 +0.3

Exercise #2

(118):(1)= ? (-118):(-1)=\text{ ?}

Video Solution

Step-by-Step Solution

Firstly we need to realise that since we are dividing two negative numbers, the result must be a positive number.

Let's rewrite the exercise in the form of a simple fraction:

1181= \frac{118}{1}=

Remember the rule:

x1=x \frac{x}{1}=x

Any number we divide by 1 will be equal to itself, therefore:

1181=118 \frac{118}{1}=118

Answer

+118 +118

Exercise #3

(17):(1)= ? (-17):(-1)=\text{ ?}

Video Solution

Step-by-Step Solution

Note that we are dividing two negative numbers, therefore the result must be a positive number.

Let's rewrite the exercise as a simple fraction:

171= \frac{17}{1}=

Remember the rule:

x1=x \frac{x}{1}=x

Any number we divide by 1 will be equal to itself, therefore:

171=17 \frac{17}{1}=17

Answer

+17 +17

Exercise #4

(34.597):(1)= ? (-34.597):(-1)=\text{ ?}

Video Solution

Step-by-Step Solution

Note that we are dividing two negative numbers, which means that the result of the exercise must be a positive number.

Now let's rewrite the exercise in the form of a simple fraction:

34.5971= \frac{34.597}{1}=

Remembering the rule:

x1=x \frac{x}{1}=x

Any number divided by -1 equals the negative of itself, therefore:

34.5971=34.597 \frac{34.597}{1}=34.597

Answer

+34.597 +34.597

Exercise #5

(3.8):(1)= ? (-3.8):(-1)=\text{ ?}

Video Solution

Step-by-Step Solution

Firstly we need to realise that since we are dividing two negative numbers, the result must be a positive number.

Let's rewrite the exercise in the form of a simple fraction:

3.81= \frac{3.8}{1}=

Remember the rule:

x1=x \frac{x}{1}=x

Any number we divide by 1 will be equal to itself, therefore:

3.81=3.8 \frac{3.8}{1}=3.8

Answer

+3.8 \text{+3}.8

Exercise #6

(+4):(1)= (+4):(-1)=

Video Solution

Step-by-Step Solution

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

+:= +:-=-

Therefore:

(4:1)=4 -(4:1)=-4

Answer

4 -4

Exercise #7

42:1= ? -42:-1=\text{ ?}

Video Solution

Step-by-Step Solution

Firstly we need to realise that since we are dividing two negative numbers, the result must be a positive number.

Let's rewrite the exercise in the form of a simple fraction:

421= \frac{42}{1}=

Remember the rule:

x1=x \frac{x}{1}=x

Any number we divide by 1 will be equal to itself, therefore:

421=42 \frac{42}{1}=42

Answer

+42 +42

Exercise #8

(74):(1)= ? (-74):(-1)=\text{ ?}

Video Solution

Step-by-Step Solution

Firstly we need to realise that since we are dividing two negative numbers, the result must be a positive number.

Let's rewrite the exercise in the form of a simple fraction:

741= \frac{74}{1}=

Remember the formula:

x1=x \frac{x}{1}=x

Any number we divide by 1 equals the number itself, therefore:

741=74 \frac{74}{1}=74

Answer

74 74

Exercise #9

(8):(1)= ? (-8):(-1)=\text{ ?}

Video Solution

Step-by-Step Solution

Firstly we need to realise that since we are dividing two negative numbers, the result must be a positive number.

Let's write the exercise in the form of a simple fraction:

81= \frac{8}{1}=

Remember the rule:

x1=x \frac{x}{1}=x

Any number we divide by 1 will be equal to itself, therefore:

81=8 \frac{8}{1}=8

Answer

+8 +8

Exercise #10

(94.7):(1)= ? (-94.7):(-1)=\text{ ?}

Video Solution

Step-by-Step Solution

Firstly we need to realise that since we are dividing two negative numbers, the result must be a positive number.

Let's rewrite the exercise in the form of a simple fraction:

94.71= \frac{94.7}{1}=

Remember the rule:

x1=x \frac{x}{1}=x

Any number we divide by 1 will be equal to itself, therefore:

94.71=94.7 \frac{94.7}{1}=94.7

Answer

94.7 94.7

Exercise #11

18:1= ? -\frac{1}{8}:-1=\text{ ?}

Video Solution

Step-by-Step Solution

Note that we are dividing two negative numbers and therefore the result must be a positive number.

Let's rewrite the exercise in the form of a simple fraction:

181= \frac{\frac{1}{8}}{1}=

Remember the rule:

x1=x \frac{x}{1}=x

Any number we divide by 1 will be equal to itself, therefore:

181=18 \frac{\frac{1}{8}}{1}=\frac{1}{8}

Answer

+18 +\frac{1}{8}

Exercise #12

Solve the following:

501= \frac{-50}{1}=

Step-by-Step Solution

Note that we are dividing a negative number by a positive number, and therefore the result will necessarily be a negative number:

:+= -:+=-

Let's remember the rule:

x1=x \frac{x}{1}=x

In other words, any number divided by 1 will be equal to itself.

Therefore:

501=50 \frac{-50}{1}=-50

Answer

50 -50

Exercise #13

Solve the following:

8501= \frac{850}{-1}=

Step-by-Step Solution

Let's note that we are dividing a positive number by a negative number, and therefore the result will necessarily be a negative number:

+:= +:-=-

Let's remember the rule:

x1=x \frac{x}{1}=x

In other words, any number divided by 1 will be equal to itself.

Therefore:

8501=850 \frac{850}{-1}=-850

Answer

850 -850

Exercise #14

Solve the following problem:

(712):(+1)= (-7\frac{1}{2}):(+1)=

Step-by-Step Solution

Note that we are dividing a negative number by a positive number, and therefore the result will necessarily be a negative number:

:+= -:+=-

We will write the exercise in the following way:

7121= \frac{-7\frac{1}{2}}{1}=

Let's remember the rule:

x1=x \frac{x}{1}=x

In other words, any number divided by 1 will be equal to itself.

Therefore, the answer is:

712 -7\frac{1}{2}

Answer

712 -7\frac{1}{2}

Exercise #15

(+24):(6)= (+24):(-6)=

Video Solution

Step-by-Step Solution

Since we are dividing a positive number by a negative number, the result must be a negative number:

+:= +:-=-

Therefore:

(24:6)=4 -(24:6)=-4

Answer

4 -4

Exercise #16

Solve the following:

60120= \frac{60}{-120}=

Video Solution

Answer

12 -\frac{1}{2}