Questions: List the fractions and decimals in order from least to greatest. 1. 3/4, -7/10, -3/4, 8/10 2. -0.3, 0.5, 0.55, -0.35

Solution Steps

To order fractions and decimals from least to greatest, we need to convert them to a common form for comparison. For fractions, we can find a common denominator and for decimals, we can compare them directly.

For the first example:

1. Convert $\frac{3}{4} \cdot -\frac{7}{10}$ to a common form.
2. Convert $-\frac{3}{4} \cdot \frac{8}{10}$ to a common form.
3. Compare the results to determine the order.

For the second example:

1. Compare the decimals directly to determine the order.

Given:

• \( \frac{3}{4} \cdot -\frac{7}{10} = -\frac{21}{40} \)
• \( -\frac{3}{4} \cdot \frac{8}{10} = -\frac{3}{5} \)
• Decimals: \([-0.3, 0.5, 0.55, -0.35]\)

• Fractions from least to greatest: \([- \frac{3}{5}, -\frac{21}{40}]\)
• Decimals from least to greatest: \([-0.35, -0.3, 0.5, 0.55]\)

Final Answer