Question

Define the words

please help

Answer 1

Irrational Number: A number that cannot be written as a fraction

a

b

(where b ≠ 0), a repeating decimal, or a terminating decimal.

Rational Number: A number that can be written as a fraction

a

b

(where b ≠ 0), a repeating decimal, or a terminating decimal.

Repeating Decimal: A decimal where, when dividing, a digit or group of digits repeats without end in the quotient; there is a pattern in the digits that repeat without end.

Terminating Decimal: A decimal that, when dividing, ends with a remainder of zero.

Perfect cube: A number that is made by cubing a number: a3 = a • a • a.

Perfect square: A number that is made by squaring a number: a2 = a • a.

Cube Root:

if a3 = b, then a = 3√b

For principal square root this was the best I could do: The principle of square roots requires that the square root of the side with the unknown (x) only includes x without any exponent (other than 1). The simplest form that fits this criterion is: but x can also be an expression.

I hope this helps :3

Answer 2

- Rational number: A rational number is a number that can be represented by dividing two integers together, all whole numbers and decimal numbers that follows a pattern like 1.3333... are rational numbers.

- Irrational number: A real number that cannot be written as a simple fraction, all roots of a number that cannot be taken completely are irrational numbers.

- Terminating decimal: A decimal number that contains a finite number of digits after the decimal point, such as 2.75.

- Repeating decimal: A decimal number in which a certain range or group of decimal numbers is repeated indefinitely, such as 7.3333.... or
`(1)/(7)`.

- Principal square root: The positive number square root. Unless otherwise stated, "the square root" of a number refers ONLY to the principal square root.

- Square root: A square root of a number is a value that, when multiplied by itself, gives the number.

- Perfect Square: An integer that is the square of an integer; in other words, it is the product of some integer with itself.

- Cube root: A specific number which when cubed or multiplied three times gives the original number.

- Perfect cube: A perfect cube is a number that is equal to the number, multiplied by itself, three times.