A large bottle of juice contains 200 milliliters of juice. A medium bottle contains 60% as much juice. How many milliliters of juice are in the medium bottle? Explain how you got your answer.

350 ml

Step-by-step explanation:

We basically need to calculate:

70% of 500

to get the amount in medium bottle

Whenever we need to calculate a certain percentage of a number, we first take the percentage and convert it to decimal by dividing it by 100. Then we multiply that decimal with the number. Shown below:

70% = 70/100 = 0.7

Now, multiplication:

0.7 * 500 = 350

60% is 300ml applying the same principle :D

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.