[Music] integers [Music] good day students welcome back to my classroom for today's lesson you will learn how to describe the set of integers and identify real life situations to make use of it and compare integers let us begin [Music] integers are whole numbers which consists of zero positive and negative numbers let's take a look at this number line this number line is divided into right and left part by the number zero [Music] zero is an integer that is neither negative nor positive the numbers on the right side of 0 are the positive integers these positive integers are can be written with or without the positive sign while the numbers to the left of zero are the negative integers [Music] which must be written with the negative sign remember that integers are whole numbers fractions and decimals are not considered as integers some real-world situations can be modeled by integers let's take a look at this example the sea level represents zero while below the sea level represents negative numbers and above sea level represents by the positive numbers if we say 40 feet above sea level that means it is equivalent to positive 40 feet [Music] well if we say 40 feet below sea level it means it is equivalent to negative 40. now let's try another situational phrases which can also be represented by integers we have here 15 feet above the ground [Music] our clue word here is the word above which represents positive number this means that it can be represented by positive 15. another one we have ten floors up our key word here is the word up it means that it is positive then next one we have five steps backwards our clue word here is the word buff it means that we are going to move five steps backward so that is negative five and lastly we have decrease of nine points it can be represented by negative nine wonderful now if we are asked this question what is two units to the right of three [Music] it means that we need to move two units or two times to the right of the number three let's try it there it means two units to the right of three is positive five this also represents addition where when we add two and three that gives us positive five another example what is five units to the left of zero this means that we need to move five times to the left from zero so let's try great job so that is negative five this also represents subtraction where zero minus five is negative five now let's learn how to compare integers in comparing integers we need to understand that the numbers to the right of zero gets bigger and bigger while the numbers to the left of zero get smaller and smaller [Music] therefore zero is greater than negative numbers but less than positive numbers [Music] let's try an example let's compare zero and negative five since negative five is a negative integer and it can be found to the left of number zero this means that zero is greater than negative five let's have another example let's compare zero and positive five [Music] since five here is positive and it can be found to the right of zero this means that zero is less than positive five awesome we also need to understand that all positive numbers are greater than negative numbers it means that negative numbers are less than positive numbers let's have an example let us compare positive three and negative five when we take a look at here it seems that negative five is greater than positive three but since all positive numbers are greater than negative numbers it means that positive three is greater than negative five let's have another one this time let us compare negative four and positive one again all negative numbers are less than positive numbers these means that negative four is less than positive one now let's have another one what about we compare positive 18 and negative 25 since all positive numbers are greater than negative numbers it means that positive 18 is greater than negative 25 awesome now let's go to another one now what if we are comparing negative numbers since negative numbers get smaller and smaller it means that the bigger the number the smaller it is sounds confusing right let's have an example let us compare negative three and negative five it seems that negative five is greater than negative three but here negative three is closer to number zero this means that negative three is greater than negative five let's have another example let us compare negative four and negative two since negative four is bigger than negative two it means that negative four is less than negative two great job how about this one great job negative 40 is less than negative 21. wonderful great job students you made it now here are things that you learned today [Music] [Music] you