Arthur tells you that he is thinking of an irrational number between 4 and 5, and he wants you to guess what it is.

one possibility you could guess is

sqrt 20
4.5
sqrt 27
sqrt 9

Step-by-step explanation:

We know it can't be 4.5 or sqrt9 because an irrational number is neverending, and 4.5 and 9 end. It's also not sqrt27 because that's above 5, so our answer is sqrt20, which is equal to 2*sqrt5. If you guess that sqrt5 is above 2 (since sqrt4 is 2) but below 3 since sqrt9 is equal to 3, and you know it's closer to 2, it's likely between 4 and 5 because 2*2=4

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.

make sure you have version 2.50

try looking in the very back of the book : )

step-by-step explanation:

you can download it here