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Introduction to Complex Numbers 150 150 SchoolTutoring Academy

Introduction to Complex Numbers

A complex number is a number which can be put in the form a + bi, where a and b are real numbers and i is called the imaginary unit, where i2 = −1, a is called the real part and b the imaginary part of the complex number. Representation of a complex number A…

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Scientific Notation 150 150 SchoolTutoring Academy

Scientific Notation

Scientific notation is a way of writing numbers that are too large or too small to be conveniently written in standard notation. In scientific notation the number is written as: R × 10b where, the coefficient R is a real number called significand and exponent b is an integer. The exponent shows the number of…

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Triangle Inequality Theorem 150 150 SchoolTutoring Academy

Triangle Inequality Theorem

The Triangle Inequality theorem states that: “The sum of the lengths of any two sides of a triangle is greater than the length of the third side.” Otherwise, a triangle cannot be created. Below is triangle ABC, with sides AB, BC and AC.   According to triangle inequality theorem, AB + BC > AC AC…

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Acids and Bases 150 150 SchoolTutoring Academy

Acids and Bases

By the definition of Svante Arrhenius, an acid is a material that can release a proton or hydrogen ion (H+). Hydrogen chloride in water solution ionizes and becomes hydrogen ions and chloride ions. HCl –> H+ + Cl– A base, or alkali, is a material that can donate a hydroxide ion (OH–). Sodium hydroxide in…

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Inverse Relationship Between Logarithmic and Exponential Functions 150 150 SchoolTutoring Academy

Inverse Relationship Between Logarithmic and Exponential Functions

There is inverse relationship between logarithmic and exponential functions given by expressions below: If, y = ax then, x = loga(y) That is, if x raise to power a is y, then log to base a of y is x. Example 1: If 1000 = 103 then, log10(1000) = 3 Example 2: If 9 =…

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SchoolTutoring Academy – General Chemistry Review of Mixtures 150 150 SchoolTutoring Academy

SchoolTutoring Academy – General Chemistry Review of Mixtures

A mixture is a combination of two or more substances that do not chemically combined and do not exist in fixed proportions to each other. Mixture refers to the physical combination of two or more substances the identities of which are retained. There is no chemical change to the constituents of a mixture but the…

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Punctuation: How to Use the Question Mark 150 150 SchoolTutoring Academy

Punctuation: How to Use the Question Mark

The question mark also known as interrogation mark is used at the end of interrogative sentences. It is used only with direct questions not with indirect questions. Below are the rules to use this punctuation mark. –  At the end of the direct question. Example: Where are you going? What is your name? How are…

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Integers and Rules of Integers 150 150 SchoolTutoring Academy

Integers and Rules of Integers

The integers are whole numbers which include negative numbers also. That is, an integer can be negative (-1, -2, -3, -4….), positive (1, 2, 3, 4….) or zero (0). Integers can be called as signed whole numbers. If no sign is in front of the whole number it is considered positive by default. Higher is…

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Punctuation: Apostrophe 150 150 SchoolTutoring Academy

Punctuation: Apostrophe

The apostrophe (‘) is one of the most commonly used punctuation marks. Below are the common uses of apostrophe: 1.To show omission of letters in a contraction Examples: you’re (you are) they’re (they are) he is (he’s) isn’t (is not) can’t (cannot) who’s (who is) 2.To show possessive form of nouns An Apostrophe is used…

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English Punctuation: The Colon 150 150 SchoolTutoring Academy

English Punctuation: The Colon

  The punctuation mark colon (:) consists of two equally sized dots centered on the same vertical line.  Uses o f the Colon (:)  1.       To introduce a list.  Example:  A box has blocks of five colors: red, green, blue, yellow and white. 2.       To show example, rule or explanation preceding an independent clause. Example:…

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