Special Cases (0 and 1, Inverse, Fraction Line): Using 0

$0+0.2+0.6=$

According to the order of operations rules, since the exercise only involves addition operations, we will solve the problem from left to right:

$0+0.2=0.2$

$0.2+0.6=0.8$

0.8

$12+3\times0=$

According to the order of operations, we first multiply and then add:

$3\times0=0$

$12+0=12$

12

$12+1+0=$

According to the order of operations rules, since the exercise only involves addition operations, we will solve the problem from left to right:

$12+1=13$

$13+0=13$

13

$9-0+0.5=$

According to the order of operations rules, since the exercise only involves addition and subtraction, we will solve the problem from left to right:

$9-0=9$

$9+0.5=9.5$

9.5

Solve the following exercise:

$12+3\cdot0=$

According to the order of operations, we first multiply and then add:

$12+(3\cdot0)=$

$3\times0=0$

$12+0=12$

$12$

$0:7+1=$

According to the order of operations rules, we first divide and then add:

$0:7=0$

$0+1=1$

$1$

$\frac{1}{2}+0+\frac{1}{2}=$

According to the order of operations, since the exercise only involves addition operations, we will solve the problem from left to right:

$\frac{1}{2}+0=\frac{1}{2}$

$\frac{1}{2}+\frac{1}{2}=\frac{1}{1}=1$

$1$

Solve the following exercise:

$2+0:3=$

According to the order of operations rules, we first divide and then add:

$2+(0:3)=$

$0:3=0$

$2+0=2$

$2$

$19+1-0=$

According to the order of operations rules, since the exercise only involves addition and subtraction operations, we will solve the problem from left to right:

$19+1=20$

$20-0=20$

$20$

$2+0:3=$

According to the order of operations rules, we first divide and then add:

$0:3=0$

$2+0=2$

$2$

$0\times(19-1)+2=$

According to the order of operations, we'll first solve the expression in parentheses:

$19-1=18$

Now we have the expression:

$0\times18+2=$

According to the order of operations, we'll multiply first and then add:

$0\times18=0$

$0+2=2$

2

$0.18+(1-1)=$

According to the order of operations rules, we first solve the expression in parentheses:

$1-1=0$

And we get the expression:

$0.18+0=0.18$

0.18

$(18-0):3=$

According to the order of operations, we first solve the expression in parentheses:

$18-0=18$

Now we divide:

$18:3=6$

6

Solve the following exercise:

$(18-0):3=$

According to the order of operations rules, we must first solve the expression inside of the parentheses. Following this we will perform the division:

$18-0=18$

$18:3=6$

$6$

$[(5-2):3-1]\times4=$

In the order of operations, parentheses come before everything else.

We start by solving the inner parentheses in the subtraction operation:

$((3):3-1)\times4=$ We continue with the inner parentheses in the division operation and then subtraction:

$(1-1)\times4=$

We continue solving the subtraction exercise within parentheses and then multiply:

$0\times4=0$

$0$

$\frac{12+8}{5}=$

Let's begin by multiplying the numerator:

$12+8=20$

We should obtain the fraction written below:

$\frac{20}{5}$

Let's now reduce the numerator and denominator by 5 and we should obtain the following result:

$\frac{4}{1}=4$

$4$

Solve the following exercise:

$0\cdot(19-1)+2=$

According to the order of operations rules, we first solve the expression in parentheses:

$19-1=18$

Now we get the expression:

$0\times18+2=$

We insert the multiplication expression into parentheses:

$(0\times18)+2=$

We solve the expression in parentheses and then combine:

$0\times18=0$

$0+2=2$

$2$

$\frac{1}{4}+0-\frac{1}{4}-0=$

According to the order of operations rules, since the exercise only involves addition and subtraction, we will solve the problem from left to right:

$\frac{1}{4}+0=\frac{1}{4}$

$\frac{1}{4}-\frac{1}{4}=0$

$0-0=0$

$0$

$(5\times4-10\times2)\times(3-5)=$

This simple rule is the order of operations which states that multiplication precedes addition and subtraction, and division precedes all of them,

In the given example, a multiplication occurs between two sets of parentheses, thus we simplify the expressions within each pair of parentheses separately,

We start with simplifying the expression within the parentheses on the left, this is done in accordance with the order of operations mentioned above, meaning that multiplication comes before subtraction, we perform the multiplications in this expression first and then proceed with the subtraction operations within it, in reverse we simplify the expression within the parentheses on the right and perform the subtraction operation within them:

What remains for us is to perform the last multiplication that was deferred, it is the multiplication that occurred between the expressions within the parentheses in the original expression, we perform it while remembering that multiplying any number by 0 will result in 0:

Therefore, the correct answer is answer d.

$0$

$(-0.45)\times0\times(-0.35)\times(-4)=$

According to the order of operations rules, we will solve the exercise from left to right since the only operation in the exercise is multiplication:

$(-0.45)\times0=0$

Let's remember the rule that any number multiplied by 0 will equal 0, so any number multiplied in this exercise will equal 0:

$0\times(-0.35)=0$

$0\times(-4)=0$

$0$