Decimal Comparison: Find the Missing Symbol Between 0.30 and 0.3

Question

Fill in the missing sign (?):


0.30?0.3 0.30?0.3

Video Solution

Solution Steps

00:00 Complete the appropriate sign
00:04 Convert decimal fraction to simple fraction
00:17 To move the decimal point twice, divide by 100
00:30 Place the fraction in the equation
00:38 We'll also convert this decimal fraction to a simple fraction
00:48 To move the decimal point once, divide by 10
01:01 Multiply both numerator and denominator to get a common denominator
01:22 Place the fraction and compare
01:32 And this is the solution to the question

Step-by-Step Solution

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

  • Step 1: Compare the two numbers by aligning their decimal places.
  • Step 2: Conclude the relationship after comparison.

Now, let's work through each step:
Step 1: The numbers are 0.300.30 and 0.30.3. To compare them, convert 0.30.3 to 0.300.30 by adding a trailing zero. Now, both numbers have two decimal places, and the comparison is straightforward: 0.300.30 vs. 0.300.30.

Step 2: With both numbers clearly written as 0.300.30, it is evident that they are equal.

Therefore, the correct comparison sign to fill in the blank is ==.

Answer

=