The 42 students who play wind instruments represent 75% of the students who are in band. How many students are in band?

56 students are in band

Step-by-step explanation:

Since 75% is basically 3/4, you should find first how much people are in 1/4 or 25%.

You can do this by dividing 42 and 3

42 divided by 3 = 14

You can check your answer because there are 42 students who play wind instruments and 14 + 14 + 14 = 42

Then you add another 14 to 42 since the students who play wind instruments are only 75%

42 + 14 = 56

56 students are in band

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.