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                ///////////////////////////////// Math Methods ////////////////////////////////

// The JavaScript Math object has a lot of useful methods that are worth mentioning.

// To use the Math methods, we don't have to construct a new Math object.

// All we do is include the Math object name, and then invoke the method, such as:

let roundUp = Math.round(9.8); // here we invoked the round method. This would round 9.8 to 10.

// There are a few constants loaded into the JS Math object's properties.

// A few of these include:
// 1. PI : Math.PI

// 2. Euler's constant : Math.E

// 3. Natural log base 10: Math.LN10

// More :

// The Math object also has many methods, but we will only cover the ones you will likely use most

// If you'd like to see a full list of the Math object's methods, go to

// 1. Exponents:
// Syntax: Math.pow(x,y) where x is the base and y is the exponent
// Examples:
let value = Math.pow(5, 2);
let newValue = Math.pow(value, 2);

// 2. Random:
// Syntax: Math.random()
// When Math.random() is used without any arguments, it returns a random floating point value between 0 and 1:
// Examples:
console.log("Here is a random number " + Math.random());
// However, we can specify the values we want the random number to be within range of using the next method:

// 3. Floor:
// Syntax: Math.floor()
// Math.floor() is used to return the largest whole number that is less than or equal to a specified value. We use this method to get a random whole number within a specific range of numbers, such as 1-10:
// Examples:
let randomNum = Math.floor(Math.random() * 10) + 1 ;
// the syntax of using .floor with .random is:
// Math.floor((Math.random * maxRangeValue) + minRangeValue)
  "A new random number between 1 and 10 is " +
    Math.floor(Math.random() * 10) + 1 
  "Another random number between 1 and 10 is " +
    Math.floor(Math.random() * 10) + 1 

// 4. Round:
// Syntax: Math.round(x) rounds the value x to the nearest whole number
// Examples:
let roundMeUp = Math.round(5.7);
let roundMeDown = Math.round(7.3);

// 5. Exponential Function:
// Syntax: Math.exp(x) raises E to the x power
// Examples:
let raised = Math.exp(5);

// 6. Absolute Value:
// Syntax: Math.abs(x) returns the absolute value of the variable or value in parenthesis
// Examples:
let positive = Math.abs(-24343525);
let negative = -24124214;
let absoluteVal = Math.abs(negative / 2);

// 7. Square Root:
// Syntax: Math.sqrt(x) returns the square root of the value or variable in parenthesis
// Examples:
let sqrt = Math.sqrt(25);
sqrt = Math.pow(sqrt, 2);

// 8. Trigonometric Functions:
// Syntax:
// Sin : Math.sin(x)
// Tan : Math.tan(x)
// Cos : Math.cos(x)

// Arcsin : Math.asin(x)
// Arctan : Math.atan(x)
// Arccos : Math.acos(x)

// Though there are a number of methods for the Math object that we didn't cover, you likely won't need to use them as a beginner programmer. Still, you can read about them here:
// and:

///////////////////////// Exercises /////////////////////////
//1. Declare a new variable named lottery and assign it to a random number between 1 and 3 using the floor and random methods

//2. Write a conditional statement that checks if the value of lottery is equal to 2
// If so, we win the lottery!
// Print the statement to the console with a new random number between 1 and 5 million:
//"You won the lottery! You won $___________"
// Fix the winning value to 2 decimal places

//3. Use the square root function to print the square root of 128,164

//4. Print the absolute value of (-351561 * 15) / 8 to the console

// Declare a new variable named income that is equal to 2500. Declare 4 variables: groceries, rent, utilities, savings. Store varying numeric values in these variables. Ensure at least 2 of the values contain decimal points. Update the 'income' variable to reflect the amount of income left after the four values are 'paid' and therefore subtracted from the income. Write a conditional statement that prints "You have $_____.__ left this month to spend on whatever you want!" if the left over income value is greater than $50.50. Otherwise, print "You should save your $____.__ in case of an emergency this month." Ensure that wherever a monetary value is being printed, the value has two decimal places.

//////////////////////Extra Exercises:

//1. Create two different variables storing two different numbers. 
// Find out the value of one of the numbers raised to the other number, using the variable names and the Math.pow() method. 

//2. Create a new variable that stores a random number between 1 and 100. Print out your variable. 
// Create a second variable that stores the square root of your random number. Print out your second variable. 
// Print out your second variable rounded to the nearest whole number.
// Print out your variable as a number with 3 digits.

//3. Create an array that stores 5 numbers.
// In a new variable, multiply the first element of your array by PI (use Math.PI!). 
// Print it out with 3 decimal places using the toFixed method 
// Print out the value of 5 to the power of 4. 
// Print out a random number between 1 and 10 using Math.floor and Math.random.