Decimal Comparison: Find the Missing Sign Between 0.2 and 0.3

Video Solution

Solution Steps

00:00 Complete the appropriate sign

00:07 Convert decimal fraction to simple fraction

00:20 To move the decimal point once, divide by 10

00:32 Place the fraction in the equation

00:40 We'll also convert this decimal fraction to a simple fraction

00:50 To move the decimal point once, divide by 10

01:02 Place the fraction and compare

01:12 In fractions with equal denominators, the larger numerator is greater

01:20 And this is the solution to the question

Step-by-Step Solution

To solve this problem, we'll follow these steps:

Let's work through each step:

Step 1: We are given the numbers $0.2$ and $0.3$ . These numbers have one decimal place each.

The tenths digit of $0.2$ is $2$ , and the tenths digit of $0.3$ is $3$ .

Step 2: Comparing these tenths digits, we observe:

$2 \lt 3$ , which means that $0.2 \lt 0.3$ .
Therefore, the correct mathematical relation between $0.2$ and $0.3$ is the sign $\lt$ .

Hence, the correct relationship to fill in the blank is: $0.2 \lt 0.3$ .