What would be 3.3 color bands in kohms resistance and why

i dont know how to figure out the colors of a resistor if the resistor is measured in 3.3 kilohms. With the color bands being
Black-0
Brown-1
Red-2
Orange-3
Yellow-4
Green-5
Blue-6
Purple-7
Gray-8
White-9

The first two bands are the first two significant digits, and the third band is the multiplier, which is always a power of ten. I don't know what kind of book you have, but the first band is *never* black. The third band can be considered as the number of zeros to add, or the power of ten to multiply by. If the third band is black, the multiplier is one (10 ^ 0). So orange-orange-black would be 33 ohms. For smaller values, gold is used for -1 (multiply by 0.1), and silver for -2 (x 0.01). So orange-orange-gold would be 3.3 ohms. If there is a fourth band, gold indicates 5% tolerance, and silver is for 10%.

To answer your original question, 3.3 k would be orange-orange-red (33 * 10²).

You have the number to color chart correct.
This is what to do: actually write down the numbers for the first two bands. For example; orange (write a three), next is orange (write another three). Looks like 33.
The third band is a multiplier (times ten to the power of_color number).
So lets say it's orange again; well ten to the power of three is 1000, so you write three zeros.
Orange, Orange, Orange becomes 33000 . This is the full value in Ohms.
Since in words a thousand is often called kilo; it can be said as 33 Kohms or kilo-ohms.
Your book probably expects something like 3 K ohms as the answer.
Your example: black, orange, orange write as 03000. Three thousand, or 3 K (ohms).

A 3.3 kohm resistor will have two oranges band (33) and a red multiplier band (00) for two zeros.
The 7 is violet

orange orange red
3 and 3 and 2 zeros = 3300 ohms