Multiplication and Division of Signed Mumbers - Examples, Exercises and Solutions

Question Types:
Multiplication and Division of Signed Mumbers: Solving the problemMultiplication and Division of Signed Mumbers: Dividing numbers with different signsMultiplication and Division of Signed Mumbers: Complete the equationMultiplication and Division of Signed Mumbers: Using order of arithmetic operationsMultiplication and Division of Signed Mumbers: Complete the missing numberMultiplication and Division of Signed Mumbers: Complete the missing numbersMultiplication and Division of Signed Mumbers: Division by 0Multiplication and Division of Signed Mumbers: Multiplication of signed numbersMultiplication and Division of Signed Mumbers: Division between negative numbersMultiplication and Division of Signed Mumbers: Multiplication of a negative number by a neutral numberMultiplication and Division of Signed Mumbers: Multiplication of a negative number by a positive numberMultiplication and Division of Signed Mumbers: Multiplication of negative numbersMultiplication and Division of Signed Mumbers: Complete the following equation using the appropriate signsMultiplication and Division of Signed Mumbers: Determine the reciprocal of the given numberMultiplication and Division of Signed Mumbers: Dividing a negative number by 1 and (-1)Multiplication and Division of Signed Mumbers: Substituting parametersMultiplication and Division of Signed Mumbers: Division of positive numbersMultiplication and Division of Signed Mumbers: Multiplication of positive numbersMultiplication and Division of Signed Mumbers: Determine the resulting sign from the exercise

The method to solve an exercise with real numbers, when it involves multiplication and division, is very similar to the one we use when we have to add or subtract real numbers, with the difference that, in this case, we must make use of the multiplication and division table that we learned in elementary school.

When we have two real numbers with the same sign (plus or minus) we distinguish two cases:

When we have two real numbers with the same sign (plus or minus) we distinguish two cases
  • The product (result of the multiplication) of two positive numbers will be positive. The quotient (result of the division) of two positive numbers will be positive.
    (+2)×(+1)=+2(+2) \times (+1)= +2
    (+2):(+1)=+2(+2) :(+1)= +2
  • The product of two negative numbers will be positive. The quotient of two negative numbers will be positive.
    (−2)×(−1)=+2(-2) \times (-1)= +2
    (−2):(−1)=+2(-2) :(-1)= +2
  • When we have two numbers with different signs, that is, one with the plus sign and the other with the minus sign, the result of the multiplication or division will always be negative.
    (+2)×(−1)=−2(+2) \times (-1)= -2
    (−2):(+1)=−2(-2) :(+1)= -2
Detailed explanation

Suggested Topics to Practice in Advance

  1. Opposite numbers
  2. Elimination of Parentheses in Real Numbers
  3. Positive and negative numbers and zero
  4. Real line or Numerical line
  5. Addition and Subtraction of Real Numbers

Practice Multiplication and Division of Signed Mumbers

Question 1

Complete the following exercise:

\( 1000\cdot0= \)

Question 2

Complete the following exercise:

\( 100\cdot2= \)

Question 3

Complete the following exercise:

\( 10\cdot10= \)

Question 4

Complete the following exercise:

\( 2\cdot10= \)

Question 5

Complete the following exercise:

\( 2\cdot6= \)

Examples with solutions for Multiplication and Division of Signed Mumbers

Exercise #1

Complete the following exercise:

1000⋅0= 1000\cdot0=

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:

+1000×+0=+0 +1000\times+0=+0

Answer

0

Exercise #2

Complete the following exercise:

100⋅2= 100\cdot2=

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:

+100×+2=+200 +100\times+2=+200

Answer

200

Exercise #3

Complete the following exercise:

10⋅10= 10\cdot10=

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:

+10×+10=+100 +10\times+10=+100

Answer

100

Exercise #4

Complete the following exercise:

2⋅10= 2\cdot10=

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×+10=+20 +2\times+10=+20

Answer

20

Exercise #5

Complete the following exercise:

2⋅6= 2\cdot6=

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:

+2×+6=+12 +2\times+6=+12

Answer

12

Question 1

Complete the following exercise?

\( 3\cdot3= \)

Question 2

Complete the following exercise:

\( 40\cdot2= \)

Question 3

Complete the following exercise:

\( 5\cdot0= \)

Question 4

Complete the following exercise:

\( 5\cdot10= \)

Question 5

Complete the following exercise:

\( 5\cdot3= \)

Exercise #6

Complete the following exercise?

3⋅3= 3\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 positive:

+3×+3=+9 +3\times+3=+9

Answer

9

Exercise #7

Complete the following exercise:

40⋅2= 40\cdot2=

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:

+40×+2=+80 +40\times+2=+80

Answer

80

Exercise #8

Complete the following exercise:

5⋅0= 5\cdot0=

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:

+5×+0=+0 +5\times+0=+0

Answer

0

Exercise #9

Complete the following exercise:

5⋅10= 5\cdot10=

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:

+5×+10=+50 +5\times+10=+50

Answer

50

Exercise #10

Complete the following exercise:

5⋅3= 5\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 positive:

+5×+3=+15 +5\times+3=+15

Answer

15

Question 1

Complete the following exercise:

\( 5\cdot4= \)

Question 2

Complete the following exercise:

\( 6\cdot3= \)

Question 3

Complete the following exercise:

\( 6\cdot6= \)

Question 4

Complete the following exercise:

\( 7\cdot3= \)

Question 5

Complete the following exercise:

\( 8\cdot2= \)

Exercise #11

Complete the following exercise:

5⋅4= 5\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 positive:

+5×+4=+20 +5\times+4=+20

Answer

20

Exercise #12

Complete the following exercise:

6⋅3= 6\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 positive:

+6×+3=+18 +6\times+3=+18

Answer

18

Exercise #13

Complete the following exercise:

6⋅6= 6\cdot6=

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:

+6×+6=+36 +6\times+6=+36

Answer

36

Exercise #14

Complete the following exercise:

7⋅3= 7\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 positive:

+7×+3=+21 +7\times+3=+21

Answer

21

Exercise #15

Complete the following exercise:

8⋅2= 8\cdot2=

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:

+8×+2=+16 +8\times+2=+16

Answer

16

More Questions

Topics learned in later sections

  1. Integers