In the state of Indiana, 192,031 people claim not to speak English very well. If this is 3.2% of the population of Indiana residents aged 5 years and older, estimate the population of Indiana residents aged 5 years and older. (round to the nearest person)

6000969 people

Step-by-step explanation:

if  192031 people represents the 3.2% of the population of Indiana residents aged 5 years and older , then the entire population of Indiana residents aged 5 or older is  192031/0.032 = 6000969 people

since

people that does not speak English very well = total population * proportion of the total population that does not speak English very well

then

total population= people that does not speak English very well/ proportion of the total population that does not speak English very well

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.