Question

greatest to least



-2 -8/10 2 19/38 2 5/25

Answer 1

To compare the numbers from greatest to least, we first need to convert the mixed numbers and fractions into improper fractions or decimals.

1. **Convert mixed numbers:**
- \( 2 \frac{19}{38} = 2 + \frac{19}{38} = \frac{76}{38} + \frac{19}{38} = \frac{95}{38} \)
- \( 2 \frac{5}{25} = 2 + \frac{5}{25} = 2 + \frac{1}{5} = 2 + 0.2 = 2.2 \)

2. **Convert fractions to decimals:**
- \( -2 \) is \( -2.0 \)
- \( -\frac{8}{10} = -0.8 \)
- \( \frac{95}{38} \) can be calculated as:
\( \frac{95}{38} \approx 2.5 \) (since \( 95 \div 38 = 2.368 \dots \))
- \( 2 \frac{5}{25} = 2.2 \)

3. **Write down the numbers:**
- \( -2 \) = -2.0
- \( -\frac{8}{10} \) = -0.8
- \( 2 \frac{19}{38} \) = 2.368
- \( 2 \frac{5}{25} \) = 2.2

Now, let's arrange them from greatest to least:

1. \( 2 \frac{19}{38} \approx 2.368 \)
2. \( 2 \frac{5}{25} = 2.2 \)
3. \( -\frac{8}{10} = -0.8 \)
4. \( -2 \)

**Final order from greatest to least:**
1. \( 2 \frac{19}{38} \)
2. \( 2 \frac{5}{25} \)
3. \( -\frac{8}{10} \)
4. \( -2 \)