Question

interactive practice: express numbers using integer powers of 10
jalapeño peppers are rated at $8 \times 10^3$ shu. black cobra peppers are rated at $4 \times 10^4$ shu
which pepper is hotter?
black cobra
how many times hotter is a black cobra than a jalapeño?
a black cobra is times hotter than a jalapeño.

Explanation:

Step1: Convert to standard form

Jalapeño: $8 \times 10^3 = 8000$ SHU
Black cobra: $4 \times 10^4 = 40000$ SHU

Step2: Calculate the ratio

Divide black cobra SHU by jalapeño SHU: $\frac{4 \times 10^4}{8 \times 10^3} = \frac{40}{8} = 5$

Answer:

1. Black cobra
2. 5