Addition, Subtraction, Multiplication and Division: Decimal numbers

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:

$-2+8.5-13=$

$6.5-13=-6.5$

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:

$-2+5-13.5=$

$3-13.5=-10.5$

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:

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

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

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

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:

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

$14+40=54$