Solve Decimal Expression: 0.5 - 0.1 ÷ 0.2 Using Order of Operations

Solve the following problem using the order of operations:

$0.5-0.1:0.2=$

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:

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