Examples with solutions for Multiplication and division: Complete the missing numbers

Exercise #1

12×3−4+?=27 12\times3-4+?=27

Video Solution

Step-by-Step Solution

According to the rules of operations, we first place the multiplication exercise in parentheses:

(12×3)−4+?=27 (12\times3)-4+?=27

We solve the exercise in parentheses:

12×3=36 12\times3=36

We obtain the exercise:

36−4+?=27 36-4+?=27

We reduce:

32+?=27 32+?=27

We move 32 to the other side and change to the correct sign:

?=27−32 ?=27-32

?=−5 ?=-5

Answer

−5 -5

Exercise #2

8×7−3+?=60 8\times7-3+?=60

Video Solution

Step-by-Step Solution

According to the rules of operations, we first place the multiplication exercise in parentheses:

(8×7)−3+?=60 (8\times7)-3+?=60

8×7=56 8\times7=56

Now we obtain the exercise:

56−3+?=60 56-3+?=60

We reduce the subtraction exercise:

56−3=53 56-3=53

We obtain the exercise:

53+?=60 53+?=60

We move 53 to the other side and change to the correct sign:

?=60−53 ?=60-53

?=7 ?=7

Answer

7 7

Exercise #3

12×3−4×?=12 12\times3-4\times?=12

Video Solution

Step-by-Step Solution

According to the laws of Arithmetic operations:

We must first place the multiplication exercise inside parentheses as shown below:(12×3)−4×?=12 (12\times3)-4\times?=12

We then solve the multiplication:

12×3=36 12\times3=36

Which should result in the following calculation:

36−4×?=12 36-4\times?=12

We then transfer numbers to the other side of the equation and change the signs accordingly:

−4×?=12−36 -4\times?=12-36

We complete the subtraction exercise:

12−36=−24 12-36=-24

Resulting in the following calculation:

−4×?=−24 -4\times?=-24

Finally we divide by negative 4:

?=−24−4 ?=\frac{-24}{-4}

?=6 ?=6

Answer

6 6

Exercise #4

−5×−7+?=48−11 -5\times-7+?=48-11

Video Solution

Step-by-Step Solution

According to the order of operations rules, we first enter the multiplication problem inside the parentheses:

(−5×−7)+?=48−11 (-5\times-7)+?=48-11

We solve the problem inside the parentheses and the subtraction problem:

−5×−7=35 -5\times-7=35

48−11=37 48-11=37

Now we get the problem:

35+?=37 35+?=37

We move the term and change the sign accordingly:

?=37−35 ?=37-35

?=2 ?=2

Answer

2 2