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:

1,746,000 in scientific notation is 1.746 x 10⁶

To divide fractions, invert the second fraction and then multiply:

\( \frac{3}{7} \) ÷ \( \frac{4}{9} \) = \( \frac{3}{7} \) x \( \frac{9}{4} \)

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

\( \frac{3}{7} \) x \( \frac{9}{4} \) = \( \frac{3 x 9}{7 x 4} \) = \( \frac{27}{28} \) = \(\frac{27}{28}\)

If 48% of the town's 50,000 voters cast ballots the number of votes cast is:

(\( \frac{48}{100} \)) x 50,000 = \( \frac{2,400,000}{100} \) = 24,000

The mayor got 53% of the votes cast which is:

(\( \frac{53}{100} \)) x 24,000 = \( \frac{1,272,000}{100} \) = 12,720 votes.

To add these radicals together their radicands must be the same:

2\( \sqrt{8} \) + 4\( \sqrt{2} \)
2\( \sqrt{4 \times 2} \) + 4\( \sqrt{2} \)
2\( \sqrt{2^2 \times 2} \) + 4\( \sqrt{2} \)
(2)(2)\( \sqrt{2} \) + 4\( \sqrt{2} \)
4\( \sqrt{2} \) + 4\( \sqrt{2} \)

Now that the radicands are identical, you can add them together:

The absolute value is the positive magnitude of a particular number or variable and is indicated by two vertical lines: \(\left|-5\right| = 5\). In the case of a variable absolute value (\(\left|a\right| = 5\)) the value of a can be either positive or negative (a = -5 or a = 5).