Decimal Comparison: Find the Missing Sign Between 0.2 and 0.3

Fill in the missing sign:

0.2?0.3 0.2?0.3

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
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 written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Fill in the missing sign:

0.2?0.3 0.2?0.3

2

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.

3

Final Answer

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