2. Which of the following inequalities orders the numbers $$ 0.2,0.03 $$, and $$ \frac{1}{4} $$ from least to greatest? F. $$ 0.2

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2. Which of the following inequalities orders the numbers $$ 0.2,0.03 $$, and $$ \frac{1}{4} $$ from least to greatest? F. $$ 0.2<0.03<\frac{1}{4} $$ G. $$ 0.03<0.2<\frac{1}{4} $$ H. $$ 0.03<\frac{1}{4}<0.2 $$ J. $$ \frac{1}{4}<0.03<0.2 $$ K. $$ \frac{1}{4}<0.2<0.03 $$

UpStudy AI · Accepted Answer

To determine the correct ordering of the numbers $$ 0.2, 0.03 $$, and $$ \frac{1}{4} $$ from least to greatest, we will first convert all numbers to a common format, preferably decimals.

1. **Convert $$ \frac{1}{4} $$ to decimal:**
   $$
   \frac{1}{4} = 0.25
   $$

Now we have the following numbers to compare:
- $$ 0.2 $$
- $$ 0.03 $$
- $$ 0.25 $$ (which is $$ \frac{1}{4} $$)

2. **Compare the numbers:**
   - $$ 0.03 $$ is less than $$ 0.2 $$ (since $$ 0.03 < 0.2 $$).
   - $$ 0.2 $$ is less than $$ 0.25 $$ (since $$ 0.2 < 0.25 $$).

Thus, the order from least to greatest is:
$$
0.03 < 0.2 < 0.25
$$

3. **Identify the correct inequality from the options:**
   - The correct ordering is $$ 0.03 < 0.2 < \frac{1}{4} $$.

Therefore, the correct answer is:
**G. $$ 0.03 < 0.2 < \frac{1}{4} $$**.
The correct ordering from least to greatest is $$ 0.03 < 0.2 < \frac{1}{4} $$, so the answer is G.

2. Which of the following inequalities orders the numbers \( 0.2,0.03 \), and \( \frac{1}{4} \) from least to greatest? F. \( 0.2<0.03<\frac{1}{4} \) G. \( 0.03<0.2<\frac{1}{4} \) H. \( 0.03<\frac{1}{4}<0.2 \) J. \( \frac{1}{4}<0.03<0.2 \) K. \( \frac{1}{4}<0.2<0.03 \)

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