Manda swims 40 meters per minute. She uses the inequality below to calculate how many minutes, m, it takes her to swim at least 1,500 meters. 40m≥1,500
Which set of numbers makes the inequality true?

A. {24,25,37.5}
B. {25,28.5,37}
C. {37,39,40.5}
D. {37.5,42,43.5}

A

Step-by-step explanation:

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.

7

step-by-step explanation: