Examples with solutions for Multiplication and Division of Signed Mumbers: Complete the missing number

Exercise #1

Fill in the missing number:

10?=100 10\cdot?=-100

Video Solution

Step-by-Step Solution

Let's remember the law:

(x)×(+x)=x (-x)\times(+x)=-x

Let's think about which number we need to multiply by 10 to get 100:

10×10=100 10\times10=100

Now let's put the numbers together with the appropriate sign as written in the law above, and we'll get:

+10×(10)=100 +10\times(-10)=-100

Answer

10 -10

Exercise #2

Fill in the missing number:

(6)?=12 (-6)\cdot?=-12

Video Solution

Step-by-Step Solution

Let's remember the law:

(x)×(+x)=x (-x)\times(+x)=-x

Let's think about which number we need to multiply by 6 to get 12:

6×2=12 6\times2=12

Now let's put the numbers together with the appropriate sign as written in the law above, and we'll get:

6×(+2)=12 -6\times(+2)=-12

Answer

2 2

Exercise #3

Fill in the missing number:

2?=8 2\cdot?=-8

Video Solution

Step-by-Step Solution

Let's remember the law:

(x)×(+x)=x (-x)\times(+x)=-x

Let's think about which number we need to multiply by 2 to get 8:

2×4=8 2\times4=8

Now let's put the numbers together with the appropriate sign as written in the law above, and we'll get:

+2×(4)=8 +2\times(-4)=-8

Answer

4 -4

Exercise #4

Fill in the missing number:

(2)?=4 (-2)\cdot?=-4

Video Solution

Step-by-Step Solution

Let's remember the law:

(x)×(+x)=x (-x)\times(+x)=-x

Let's think about which number we need to multiply by 2 to get 4:

2×2=4 2\times2=4

Now let's put the numbers together with the appropriate sign as written in the law above, and we'll get:

2×(+2)=4 -2\times(+2)=-4

Answer

2 2

Exercise #5

Fill in the missing number:

(3)?=9 (-3)\cdot?=-9

Video Solution

Step-by-Step Solution

Let's remember the law:

(x)×(+x)=x (-x)\times(+x)=-x

Let's think about which number we need to multiply by 3 to get 9:

3×3=9 3\times3=9

Now let's put the numbers together with the appropriate sign as written in the law above, and we'll get:

3×(+3)=9 -3\times(+3)=-9

Answer

3 3

Exercise #6

Fill in the missing number:

(3)=15 (-3)\cdot⬜=-15

Video Solution

Step-by-Step Solution

Let's remember the rule:

(x)×(+x)=x (-x)\times(+x)=-x

Let's think about what number we need to multiply by 3 to get 15:

3×5=15 3\times5=15

Now let's put the numbers together with the appropriate sign as written in the rule above, and we get:

3×(+5)=15 -3\times(+5)=-15

Answer

5 5

Exercise #7

Fill in the missing number:

12?=24 12\cdot?=24

Video Solution

Step-by-Step Solution

Let's remember the law:

(+x)×(+x)=+x (+x)\times(+x)=+x

Let's think about which number we need to multiply by 12 to get 24:

2×2=4 2\times2=4

Now let's put the numbers together with the appropriate sign as written in the law above, and we'll get:

+12×+2=24 +12\times+2=24

Answer

2 2

Exercise #8

Fill in the missing number:

7?=21 7\cdot?=-21

Video Solution

Step-by-Step Solution

Let's remember the law:

(x)×(+x)=x (-x)\times(+x)=-x

Let's think about which number we need to multiply by 7 to get 21:

7×3=21 7\times3=21

Now let's put the numbers together with the appropriate sign as written in the law above, and we'll get:

+7×(3)=21 +7\times(-3)=-21

Answer

3 -3