A cyclist rides her bike at a rate of 9 kilometers per hour. What is the rate in kilometers per minute? How many kilometers will the cyclist travel in 2 minutes

Rate(in km/min) = 0.15 km/min

Distance traveled in 2 mins = 0.3 km

Step-by-step explanation:

Rate = 9 km/hr

1 hr = 60 mins

In 60 minutes, the cyclist rides 9 km

in 1 minute, the cyclist will ride 9/60 km

Therefore, the rate in km/min = 9/60 km/min

Rate(in km/min) = 0.15 km/min

Since the cyclist rides 0.15 km in 1 min,

In 2 mins, the cyclist will ride 0.15 * 2 km = 0.3 km

Distance traveled in 2 mins = 0.3 km

the largest number of the four options is 1.8 x 10-2

you have it in scientific notation.

1.80 x 10-6   = 0.00000180

1.80 x 10-4   = 0.000180 (bigger, or "less small", than the former one)

so

1.8 x 10-2       = 0.0180. as you see. the "less small", or the biggest one of them all.

as you have negative exponent, it means you are dividing 1.8 by 100 (i.e. moving the dot towards left, two times).

if you had positive exponent for the scientific notation, power of tenths, you would be multiplying times 100 (moving the dot towards right) as below:

1.8 x (10)2 = 180

so. if you have negative exponent in scientific notation, move the dot toward left. if it is positive, toward right as many times the exponent tells you.