All Operations in the Order of Operations: Decimal numbers

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

$4.5+12.5=17$

$17+10.5=27.5$

$27.5-13.5=14$

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:

$-2+5-13.5=$

$3-13.5=-10.5$

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

$8.5\times10=85$

and we'll get:

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