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

00:05 Fill in the correct sign between the numbers.
00:09 Let's turn the decimal fraction into a simple fraction.
00:22 To move the decimal point two places left, divide by one hundred.
00:35 Place this fraction into the equation now.
00:43 We'll also change this decimal fraction to a simple fraction.
00:53 To shift the decimal point one place, divide by ten.
01:06 Multiply both top and bottom numbers to find a common denominator.
01:27 Now, compare these fractions side by side.
01:37 And that's how we find the solution to our problem.

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

=

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What is a Decimal Number? Decimal Fractions Decimal fraction remainder Remainders

Question Types

Decimal Fractions' Meaning: Comparing decimal fractions