Question

which set is in descending order? 9/10 15% .45; 15% .45 9/10; 9/10 .45 15%; .45 15% 9/10

Explanation:

Step1: Convert all to decimals

• \( \frac{9}{10} = 0.9 \)
• \( 15\% = 0.15 \)
• \( 0.45 \) remains as is.

Step2: Analyze each option

• Green option: \( 0.9, 0.15, 0.45 \) – Not descending (0.9 > 0.15 but 0.15 < 0.45, so order breaks).
• Blue option: \( 0.15, 0.45, 0.9 \) – This is ascending, not descending.
• Orange option: \( 0.9, 0.45, 0.15 \) – \( 0.9 > 0.45 > 0.15 \), which is descending.
• Cyan option: \( 0.45, 0.15, 0.9 \) – Order breaks (0.45 > 0.15 but 0.15 < 0.9).

Answer:

The orange - colored set (9/10, 0.45, 15%) is in descending order.