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

Question

Solve the following problem using the order of operations:

$0.5-0.1:0.2=$

00:08 Let's solve this expression together.

00:12 First, convert the division operation into a fraction.

00:17 Remember! We solve multiplication and division before moving on to addition and subtraction.

00:26 Break down zero point two into a decimal fraction.

00:30 Now, simplify the remaining parts of the expression.

00:37 Convert any decimals into fractions, and solve it step-by-step.

00:42 And here is the solution! Great job, everyone!

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:

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