A number in scientific notation has the format 0.000 x 10^exponent. To convert to scientific notation, move the decimal point to the right or the left until the number is a decimal between 1 and 10. The exponent of the 10 is the number of places you moved the decimal point and is positive if you moved the decimal point to the left and negative if you moved it to the right:

0.0001769 in scientific notation is 1.769 x 10^-4

To fill a 4 gallon tank exactly halfway you'll need 2 gallons of fuel. Each fuel can holds 1 gallons so:

cans = \( \frac{2 \text{ gallons}}{1 \text{ gallons}} \) = 2

There are 3 5-passenger taxis available so that's 3 x 5 = 15 total seats. There are 17 people needing transportation leaving 17 - 15 = 2 who will have to find other transportation.

To divide terms with radicals, divide the coefficients and radicands separately:

\( \frac{6\sqrt{36}}{2\sqrt{9}} \)
\( \frac{6}{2} \) \( \sqrt{\frac{36}{9}} \)
3 \( \sqrt{4} \)

If the tiger has consumed 36 pounds of food in 3 days that's \( \frac{36}{3} \) = 12 pounds of food per day. The tiger needs to consume 108 - 36 = 72 more pounds of food to reach 108 pounds total. At 12 pounds of food per day that's \( \frac{72}{12} \) = 6 more days.