All Operations in the Order of Operations: Decimal numbers

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

$9-0=9$

$9+0.5=9.5$

According to the order of operations, the exercise is solved from left to right as it contains only an addition operation:

$0+0.2=0.2$

$0.2+0.6=0.8$

According to the order of operations, we will solve the exercise from left to right.

$\frac{1}{2}=0.5$

$0.5+0.5=1$

$1-0=1$

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

$1-1=0$

And we get the expression:

$0.18+0=0.18$

According to rules of the order of operations , we must first place the multiplication exercise inside of parentheses:

$6+(8.4\times1)=$

Let's now proceed to solve the said expression:

$8.4\times1=8.4$

We should obtain the following exercise:

$6+8.4=14.4$

According to the rules of the order of operations we should begin by placing the multiplication exercise within parentheses:

$18-(1\times0.1)=$

We then proceed solve the multiplication exercise:

$1\times0.1=0.1$

And we should obtain the following exercise:

$18-0.1=17.9$

First, calculate the expression inside the parentheses: $3 + 1$ equals $4$.

Then multiply $0.4$ by $4$ to get $1.6$.

According to the order of operations in arithmetic, multiplication and division take precedence over addition and subtraction.

We'll start with the division operation and write the fractions as decimal fractions, then as simple fractions:

$0.1:0.2=\frac{0.1}{0.2}=\frac{1}{2}$

In the next step, we'll write the decimal fraction 0.5 as a simple fraction:

$0.5=\frac{1}{2}$

Lastly we will solve the problem:

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

According to the order of operations, we will first solve the multiplication exercises in parentheses:

$(13\times2)=26$

$(12\times1.5)=18$

Now we will subtract:

$26-18=8$

Let's solve the exercise from left to right since we are only dealing with addition and subtraction operations:

$4.5+12.5=17$

$17+10.5=27.5$

$27.5-13.5=14$

According to the order of operations rules, we must first solve the multiplication exercises and then add them together:

$(3.5\times4)+(16\times2.5)=$

$14+40=54$

Let's begin by expanding the parentheses. Make sure to pay attention to the minus and plus signs, which change accordingly:

$-(-5)=5$

$8.5+(-13)=8.5-13$

We should obtain the following:

$-7+5+8.5-13=$

Now let's solve the exercise from left to right:

$-2+8.5-13=$

$6.5-13=-6.5$

First we'll solve the multiplication exercise in the numerator:

$8.5\times10=85$

and we'll get:

$\frac{85}{2}=42.5$

Let's begin by expanding the parentheses whilst paying attention to the minus and plus signs, which change accordingly:

$+(-9.5)=-9.5$

$+(-13)=-13$

We should obtain the following:

$7.5-9.5+5-13.5=$

Now let's solve the exercise from left to right:

$-2+5-13.5=$

$3-13.5=-10.5$

To solve the expression $\frac{0.18+0.37}{89+13-\frac{2}{1}}=$, we need to follow the order of operations carefully.

• Step 1: Simplify the expression in the numerator: $0.18 + 0.37$.

$0.18 + 0.37 = 0.55$

• Step 2: Simplify the expression in the denominator. Start by simplifying $\frac{2}{1}$ which is simply $2$.

• Step 3: Continue with the expression: $89 + 13 - 2$.

$89 + 13 = 102$
$102 - 2 = 100$

• Step 4: Substitute the simplified expressions back into the main fraction: $\frac{0.55}{100}$.

$\frac{0.55}{100} = 0.0055$

Thus, the solution to the expression is $0.0055$.