032 lesson 20
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The document defines integers as natural numbers including zero and their negatives. It explains that positive integers are whole numbers greater than zero, while negative integers are the opposites of positive integers. The number line is used to demonstrate that integers increase from left to right and how the absolute value of a number is always positive or zero.
![Lesson 20 <br />WHAT ARE INTEGERS?<br />Objectives <br />After this lesson, the students are expected to:<br />define what integers are;<br />explain the difference between positive, zero and negative integers;<br />discuss the significance of integers.<br />The Integers are natural numbers including 0 (0, 1, 2, 3, ...) and their negatives (0, −1, −2, −3, ...). They are numbers that can be written without a fractional or decimal component, and fall within the set {... −2, −1, 0, 1, 2 ...}.<br />377190092075<br />Positive integers are all the whole numbers greater than zero: 1, 2, 3, 4, 5, ... . Negative integers are all the opposites of these whole numbers: -1, -2, -3, -4, -5, … . ]Positive and Negative Integers<br />We do not consider zero to be a positive or negative number. For each positive integer, there is a negative integer, and these integers are called opposites. <br />For example, -3 is the opposite of 3, -21 is the opposite of 21, and 8 is the opposite of -8. If an integer is greater than zero, we say that its sign is positive. If an integer is less than zero, we say that its sign is negative. <br />Example: <br />Integers are useful in comparing a direction associated with certain events. Suppose I take five steps forwards: this could be viewed as a positive 5. If instead, I take 8 steps backwards, we might consider this a -8. Temperature is another way negative numbers are used. On a cold day, the temperature might be 10 degrees below zero Celsius, or -10°C. <br />The Number Line<br />The number line is a line labeled with the integers in increasing order from left to right, that extends in both directions: <br />For any two different places on the number line, the integer on the right is greater than the integer on the left. <br />Examples: <br />9 > 4, 6 > -9, -2 > -8, and 0 > -5 <br />The number of units a number is from zero on the number line. The absolute value of a number is always a positive number (or zero). We specify the absolute value of a number n by writing n in between two vertical bars: |n|. Absolute Value of an Integer <br /> Examples: |6| = 6|-12| = 12|0| = 0|1234| = 1234|-1234| = 1234<br />293444374617<br />-483577-303335WORKSHEET NO. 20<br />NAME: ___________________________________DATE: _____________ <br />YEAR & SECTION: ________________________RATING: ___________<br /> Answer the following questions correctly.<br />Which integer represents this scenario?<br />A child grows 4 inches taller.<br />-4210050417195A loss of 3 dollars.<br />4 degrees above zero.<br />2 millimeter increase in volume.<br />4 kilogram increase in mass.<br />Weight gain 5 pounds.<br />5 gram decrease in mass.<br />Weight loss of 1 pound.<br />A child grows 9 inches taller.<br />7 millimeter decrease in volume<br />](https://image.slidesharecdn.com/032-lesson20-100627023816-phpapp02/85/032-lesson-20-1-320.jpg)
032 lesson 20
- 1. Lesson 20 <br />WHAT ARE INTEGERS?<br />Objectives <br />After this lesson, the students are expected to:<br />define what integers are;<br />explain the difference between positive, zero and negative integers;<br />discuss the significance of integers.<br />The Integers are natural numbers including 0 (0, 1, 2, 3, ...) and their negatives (0, −1, −2, −3, ...). They are numbers that can be written without a fractional or decimal component, and fall within the set {... −2, −1, 0, 1, 2 ...}.<br />377190092075<br />Positive integers are all the whole numbers greater than zero: 1, 2, 3, 4, 5, ... . Negative integers are all the opposites of these whole numbers: -1, -2, -3, -4, -5, … . ]Positive and Negative Integers<br />We do not consider zero to be a positive or negative number. For each positive integer, there is a negative integer, and these integers are called opposites. <br />For example, -3 is the opposite of 3, -21 is the opposite of 21, and 8 is the opposite of -8. If an integer is greater than zero, we say that its sign is positive. If an integer is less than zero, we say that its sign is negative. <br />Example: <br />Integers are useful in comparing a direction associated with certain events. Suppose I take five steps forwards: this could be viewed as a positive 5. If instead, I take 8 steps backwards, we might consider this a -8. Temperature is another way negative numbers are used. On a cold day, the temperature might be 10 degrees below zero Celsius, or -10°C. <br />The Number Line<br />The number line is a line labeled with the integers in increasing order from left to right, that extends in both directions: <br />For any two different places on the number line, the integer on the right is greater than the integer on the left. <br />Examples: <br />9 > 4, 6 > -9, -2 > -8, and 0 > -5 <br />The number of units a number is from zero on the number line. The absolute value of a number is always a positive number (or zero). We specify the absolute value of a number n by writing n in between two vertical bars: |n|. Absolute Value of an Integer <br /> Examples: |6| = 6|-12| = 12|0| = 0|1234| = 1234|-1234| = 1234<br />293444374617<br />-483577-303335WORKSHEET NO. 20<br />NAME: ___________________________________DATE: _____________ <br />YEAR & SECTION: ________________________RATING: ___________<br /> Answer the following questions correctly.<br />Which integer represents this scenario?<br />A child grows 4 inches taller.<br />-4210050417195A loss of 3 dollars.<br />4 degrees above zero.<br />2 millimeter increase in volume.<br />4 kilogram increase in mass.<br />Weight gain 5 pounds.<br />5 gram decrease in mass.<br />Weight loss of 1 pound.<br />A child grows 9 inches taller.<br />7 millimeter decrease in volume<br />