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:

0.0008792 in scientific notation is 8.792 x 10^-4

If a single cook can bake 3 large cakes per hour and the kitchen is available for 4 hours, a single cook can bake 3 x 4 = 12 large cakes during that time. 38 large cakes are needed for the party so \( \frac{38}{12} \) = 3\(\frac{1}{6}\) cooks are needed to bake the required number of large cakes.

If a single cook can bake 19 small cakes per hour and the kitchen is available for 4 hours, a single cook can bake 19 x 4 = 76 small cakes during that time. 320 small cakes are needed for the party so \( \frac{320}{76} \) = 4\(\frac{4}{19}\) 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 4 + 5 = 9 cooks.

If 78% of the town's 49,000 voters cast ballots the number of votes cast is:

(\( \frac{78}{100} \)) x 49,000 = \( \frac{3,822,000}{100} \) = 38,220

The mayor got 67% of the votes cast which is:

(\( \frac{67}{100} \)) x 38,220 = \( \frac{2,560,740}{100} \) = 25,607 votes.

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

\( \frac{4}{8} \) x \( \frac{1}{6} \) = \( \frac{4 x 1}{8 x 6} \) = \( \frac{4}{48} \) = \(\frac{1}{12}\)

By buying two shirts, Alex will save $14 x \( \frac{40}{100} \) = \( \frac{$14 x 40}{100} \) = \( \frac{$560}{100} \) = $5.60 on the second shirt.