In chapter 1 you will learn about Real Numbers, Operations With Rational Numbers, Applications Of Square Roots, Working With Exponents, Scientific Notation, and Matrices.
Real Numbers
Rational Numbers :
Integers :
Whole Numbers :
Mixed Numbers :
Roots or Radicals are the opposite operation of applying exponents; you can undo a power with a radical, and a radical can undo a power. For instance, if you square 2, you get 4, and if you take the square root of 4, you get 2; if you square 3, you get 9, and if you take the square root of 9, you get 3.
Working With Exponents :
Exponents are shorthand for repeated multiplication of the same thing by itself. For instance, the shorthand for multiplying three copies of the number 5 is shown on the right-hand side of the equals sign in (5)(5)(5) = 5^3. The exponent, being 3 in this example, stands for however many times the value is being multiplied. The thing that's being multiplied, being 5 in this example, is called the base.
Scientific Notation :
Scientific notation is a way of writing numbers that are too big or too small to be conveniently written in decimal form.
Rational Numbers :
- Numbers that can be writen as a ratio of two intergers. 2/3, -4 (= -4/1)
- Decimal numbers that are terminating. 1.56, -7.9
- Decimals that are non-terminating and have a repeating pattern of digits. 1.121 212 121 ...,
Integers :
- Any number in the list...,
Whole Numbers :
- Numbers in the list 0, 1, 2, 3, ...
- Numbers in the list 1, 2, 3, ...
- Also called positive integers
- Numbers that cannot be expressed as a ratio of two integers.
- Decimal numbers that are non terminating and with digits that do not repeat in a fixed pattern. ex. 3.141 592 653
Mixed Numbers :
- The sum of a whole number and a fraction. 4 1/2
- a fraction in which the numerator is greater than the denominator. 10/2
Roots or Radicals are the opposite operation of applying exponents; you can undo a power with a radical, and a radical can undo a power. For instance, if you square 2, you get 4, and if you take the square root of 4, you get 2; if you square 3, you get 9, and if you take the square root of 9, you get 3.
Working With Exponents :
Exponents are shorthand for repeated multiplication of the same thing by itself. For instance, the shorthand for multiplying three copies of the number 5 is shown on the right-hand side of the equals sign in (5)(5)(5) = 5^3. The exponent, being 3 in this example, stands for however many times the value is being multiplied. The thing that's being multiplied, being 5 in this example, is called the base.
Scientific Notation :
Scientific notation is a way of writing numbers that are too big or too small to be conveniently written in decimal form.
Matrices:
A matrix is an array of numbers:
A matrix is an array of numbers: