Examples with solutions for Multiplication and Division of Signed Mumbers: Multiplication of positive numbers

Exercise #1

Complete the following exercise:

510= 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 #2

Complete the following exercise:

26= 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

Exercise #3

Complete the following exercise:

66= 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 #4

Complete the following exercise:

50= 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 #5

Complete the following exercise:

210= 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 #6

Complete the following exercise:

54= 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 #7

Complete the following exercise:

63= 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 #8

Complete the following exercise:

402= 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 #9

Complete the following exercise:

10000= 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 #10

Complete the following exercise:

1010= 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 #11

Complete the following exercise:

53= 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

Exercise #12

Complete the following exercise:

73= 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 #13

Complete the following exercise?

33= 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 #14

Complete the following exercise:

82= 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

Exercise #15

Complete the following exercise:

1002= 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 #16

Solve the following exercise:

(+6)(+9)= (+6)\cdot(+9)=

Step-by-Step Solution

Due to the fact that we are multiplying two positive numbers the result will also be positive:

+×+=+ +\times+=+

We obtain the following:

+6×+9=+54=54 +6\times+9=+54=54

Answer

54 54

Exercise #17

Solve the following exercise:

(+9)(+4)= (+9)\cdot(+4)=

Step-by-Step Solution

Note that we are multiplying two positive numbers, so the result will necessarily be positive:

+×+=+ +\times+=+

We get:

+9×+4=+36=36 +9\times+4=+36=36

Answer

36 36

Exercise #18

Solve the following exercise:

(+5)(+5)= (+5)\cdot(+5)=

Step-by-Step Solution

Due to the fact that we are multiplying two positive numbers together, the result will inevitably be positive:

+×+=+ +\times+=+

We obtain the following result:

+5×+5=+25=25 +5\times+5=+25=25

Answer

25 25

Exercise #19

(+7)×(+156)= (+7)\times(+1\frac{5}{6})=

Video Solution

Step-by-Step Solution

Let's convert the mixed fraction to an improper fraction:

156=116 1\frac{5}{6}=\frac{11}{6}

Now let's write the exercise:

7×116=71×116= 7\times\frac{11}{6}=\frac{7}{1}\times\frac{11}{6}=

We'll multiply numerator by numerator and denominator by denominator:

7×111×6=776 \frac{7\times11}{1\times6}=\frac{77}{6}

Let's convert the improper fraction to a mixed fraction:

776=1256 \frac{77}{6}=12\frac{5}{6}

Answer

1256 12\frac{5}{6}