Multiplication and division: Complete the missing numbers

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

$(12\times3)-4+?=27$

We solve the exercise in parentheses:

$12\times3=36$

We obtain the exercise:

$36-4+?=27$

We reduce:

$32+?=27$

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

$?=27-32$

$?=-5$

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

$(8\times7)-3+?=60$

$8\times7=56$

Now we obtain the exercise:

$56-3+?=60$

We reduce the subtraction exercise:

$56-3=53$

We obtain the exercise:

$53+?=60$

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

$?=60-53$

$?=7$

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

$(-5\times-7)+?=48-11$

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

$-5\times-7=35$

$48-11=37$

Now we get the problem:

$35+?=37$

We move the term and change the sign accordingly:

$?=37-35$

$?=2$

According to the laws of Arithmetic operations:

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

We then solve the multiplication:

$12\times3=36$

Which should result in the following calculation:

$36-4\times?=12$

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

$-4\times?=12-36$

We complete the subtraction exercise:

$12-36=-24$

Resulting in the following calculation:

$-4\times?=-24$

Finally we divide by negative 4:

$?=\frac{-24}{-4}$

$?=6$