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:

0.0005245 in scientific notation is 5.245 x 10^-4

To multiply fractions, multiply the numerators together and then multiply the denominators together:

\( \frac{4}{7} \) x \( \frac{1}{7} \) = \( \frac{4 x 1}{7 x 7} \) = \( \frac{4}{49} \) = \(\frac{4}{49}\)

If a single cook can bake 3 large cakes per hour and the kitchen is available for 2 hours, a single cook can bake 3 x 2 = 6 large cakes during that time. 36 large cakes are needed for the party so \( \frac{36}{6} \) = 6 cooks are needed to bake the required number of large cakes.

If a single cook can bake 16 small cakes per hour and the kitchen is available for 2 hours, a single cook can bake 16 x 2 = 32 small cakes during that time. 160 small cakes are needed for the party so \( \frac{160}{32} \) = 5 cooks are needed to bake the required number of small cakes.

Because you can't employ a fractional cook, round the number of cooks needed for each type of cake up to the next whole number resulting in 6 + 5 = 11 cooks.

The greatest common factor (GCF) is the greatest factor that divides two integers.

You have 17 out of the total of 350 raffle tickets sold so you have a (\( \frac{17}{350} \)) x 100 = \( \frac{17 \times 100}{350} \) = \( \frac{1700}{350} \) = 5% chance to win the raffle.