M8 Sem1 Day1 OPTIONAL Practice Test

An irrational number is a number that cannot be expressed as a fraction of two integers. Its decimal representation is non-repeating and non-terminating. Example: $$\text{The square root of 8, } \ \text{which is approximately } 2.8284...$$ .

-14 is classified as an Integer, Real, and Rational number, but NOT a Whole number because Whole numbers are non-negative.

$$\frac{5^2}{3^2} = \frac{25}{9}$$ .

Locate the point that is approximately 3.162, which is the value of $$\text{the square root of 10}$$ .

Using the property of exponents, $$\frac{5^3}{5^2} = 5^{3-2} = 5^1 = 5$$ .

A rational number is any number that can be expressed as a fraction $$\frac{a}{b}$$ where $$a$$ and $$b$$ are integers and @@b eq 0@@.

Integers include all positive and negative whole numbers, while whole numbers include only non-negative integers (0 and positive integers).

The square root of a number $$x$$ is a value that, when multiplied by itself, gives the number $$x$$ . Example: $$\text{The square root of 49 is 7, since } 7 \times 7 = 49$$ .

When dividing two powers with the same base, subtract the exponents: $$\frac{a^m}{a^n} = a^{m-n}$$ .

A number line is a straight line with numbers placed at equal intervals along its length, used to represent real numbers visually.