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In this video you will see visual definitions of the following words,
Reciprocal in Math
Conjugate
Rational Number
Irrational Number
Real Numbers
Integers
Fibonacci Sequence
Math Words: Reciprocal in Math
The reciprocal of a number is created by dividing one by the number
For example, the reciprocal of 8 equals 1/8
When you have a fraction you can create it's reciprocal by flipping the fraction
For example, the reciprocal of 2/3 = 3/2
3/4 = 4/3
Use a reciprocal when solving an equation when the coefficient of a variable is a fraction
A reciprocal is also used when you divide fractions
You keep change flip
Math words: Conjugate in Algebra
A conjugate is a binomial formed by switching the sign of the second term of another binomial.
(x + 3) conjugate = (x-3)
(y + 4) conjugate equals (y-4)
When you multiply a binomial by its conjugate it results in squares like this…
(a + b)(a-b) = a^2−b^2
Math Words: Rational and Irrational Numbers
Rational numbers are numbers that can be written as a ratio or a fraction.
For example, 3 is a rational number because it can be written as 3/1
5/6 is a rational number because it can be written as a fraction
All whole numbers are rational numbers.
An irrational number is a number that cannot be written as a ratio or fraction
Probably the most famous irrational number is π (pi)
Another example is √2
The square root of 2 equals 1.4142135623730950...
It cannot be written as a fraction, so it is irrational
Another clue is that the decimal goes on forever without repeating.
Fibonacci sequence
Can you figure out the sequence of these numbers?
0,1,1,2,3,5,8,13,21,34,55
This is a sequence called the Fibonacci sequence
The next number is found by adding up the two numbers before it
This is a famous sequence called the Fibonacci sequence
Leonardo Pisano Bigollo who later became by his name nickname
Fibonacci
He introduced this pattern in his book titled Liber Abaci in 1202
The Fibonacci sequence can be expressed with the formula
fn=fn-1 + fn+2
If you divide a number in the sequence by the one before it you get the same number 1.618
This is called the Golden Ratio
The Fibonacci sequence can be found in nature
Real Numbers
A real number is any number found on a number line.
Almost any number you can think of is a real number.
The symbol for real numbers is R
Examples of real numbers would be rational numbers like .25
Irrational numbers like, pi and square root 3
Integers, and fractions
Imaginary numbers are not real numbers
Integers
Integers are a set of numbers that include:
Whole numbers. positive and negative numbers and zero
Integers include zero, but not decimals or fractions

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