Decimal Comparison: Find the Missing Sign Between 0.2 and 0.3

Question

Fill in the missing sign:

0.2?0.3 0.2?0.3

Video Solution

Step-by-Step Solution

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

  • Step 1: Compare the decimal numbers based on their representation.
  • Step 2: Determine the correct relational sign.

Let's work through each step:

Step 1: We are given the numbers 0.20.2 and 0.30.3. These numbers have one decimal place each.

The tenths digit of 0.20.2 is 22, and the tenths digit of 0.30.3 is 33.

Step 2: Comparing these tenths digits, we observe:

2<32 \lt 3, which means that 0.2<0.30.2 \lt 0.3.
Therefore, the correct mathematical relation between 0.20.2 and 0.30.3 is the sign <\lt.

Hence, the correct relationship to fill in the blank is: 0.2<0.30.2 \lt 0.3.

Answer

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