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

Question

$0.5-0.1:0.2=$

00:00 Solve

00:04 Let's write division as a fraction

00:08 Always solve multiplication and division before addition and subtraction

00:18 Let's break down 0.2 into factors 0.1 and 2

00:21 Let's reduce what we can

00:29 Let's convert from decimal point to fraction

00:34 And this is the solution to the question

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:

$0.5=\frac{1}{2}$

Now let's solve the problem

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