Question

which number is the greatest? a: $7.85 \times 10^{-3}$ b: $8.54 \times 10^{-5}$ c: $9.03 \times 10^{-2}$ d: $9.25 \times 10^{-2}$

Explanation:

Step1: Convert to decimal

• For A: $7.85\times10^{-3} = 0.00785$
• For B: $8.54\times10^{-5}=0.0000854$
• For C: $9.03\times10^{-2} = 0.0903$
• For D: $9.25\times10^{-2}=0.0925$

Step2: Compare the decimals

Compare $0.00785$, $0.0000854$, $0.0903$, $0.0925$. We can see that $0.0925$ (from D) is the largest.

Answer:

D. $9.25\times 10^{-2}$