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

Question

Solve the following problem using the order of operations:

$0.5-0.1:0.2=$

00:00 Solve the following expression

00:04 Convert the division operation into a fraction

00:08 Solve multiplication and division before addition and subtraction according to the order of operations

00:18 Break down 0.2 into a decimal fraction

00:21 Simplify the remaining expression

00:29 Convert the decimal into a fraction and solve as follows

00:34 Here is the solution

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:

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