Mathematical Fundamentals: Fractions, Roots, and Radicals

Flashcards covering common fraction-to-decimal conversions, popular square and cubic roots, and the fundamental rules for radical arithmetic.

$$\frac{1}{4}$$

$$0.25 = 25\%$$

$$\frac{1}{2}$$

$$0.5 = 50\%$$

$$\frac{3}{4}$$

$$0.75 = 75\%$$

$$\frac{1}{3}$$

$$\approx 0.3333\%$$

$$\frac{2}{3}$$

$$\approx 0.66 \approx 66\%$$

$$\frac{1}{6}$$

$$\approx 0.167 \approx 16.7\%$$

$$\frac{1}{5}$$

$$0.2 = 20\%$$

$$\frac{2}{5}$$

$$0.4 = 40\%$$

$$\frac{3}{5}$$

$$0.6 = 60\%$$

$$\frac{4}{5}$$

$$0.8 = 80\%$$

$$\sqrt{1}$$

$$1$$

$$\sqrt{4}$$

$$2$$

$$\sqrt{9}$$

$$3$$

$$\sqrt{16}$$

$$4$$

$$\sqrt{25}$$

$$5$$

$$\sqrt{36}$$

$$6$$

$$\sqrt{49}$$

$$7$$

$$\sqrt{64}$$

$$8$$

$$\sqrt{81}$$

$$9$$

$$\sqrt{100}$$

$$10$$

$$\sqrt{121}$$

$$11$$

$$\sqrt{144}$$

$$12$$

$$\sqrt{169}$$

$$13$$

$$\sqrt[3]{1}$$

$$1$$

$$\sqrt[3]{8}$$

$$2$$

$$\sqrt[3]{27}$$

$$3$$

$$\sqrt[3]{64}$$

$$4$$

$$\sqrt[3]{125}$$

$$5$$

$$\sqrt[3]{1000}$$

$$10$$

$\sqrt{2}$ (Approximation)

$$\approx 1.4$$

$\sqrt{3}$ (Approximation)

$$\approx 1.7$$

Like Roots Addition/Subtraction Rule

We only add or subtract like roots; for example, $3\sqrt{5} + 6\sqrt{5} = 9\sqrt{5}$.

Incompatible Roots Rule

Addition or subtraction is not allowed between different root terms, such as $2\sqrt{3} + 5\sqrt{2}$.