Description
Did you know that number lines are used to locate, compare and order a set of integers and rational numbers on a Number Line? In this video we will be learning how to locate, compare and order integers and rational numbers using a numberline. Last lesson, we learned how to classify numbers. In this lesson we will learn how to compare and order integers and rational numbers using a number line. If we look at zero on a number line, as we move to the right our numbers become infinitely larger. We can add a couple of positive numbers to our number line to represent this. As we move to the left of zero we have negative numbers that are also counting but that become infinitely smaller in value. For example, -1 is greater in value than -4. The closer a negative number is to zero on a number line the greater its value. So how about fractions and decimals. Well fractions and decimals are found in between whole numbers and integers. For example, let’s say we were asked to compare the following numbers: 1 ¼, 3, -1, -2.5, We can compare all numbers by placing them on a numberline. We can start by placing our integers on a numberline. Positive 3 is 3 units to the right of zero, -1 is 1 unit to the left of zero. That leaves the number 1 and ¼ and -2.5. 1 and ¼ tells us we need to move one unit and a fractional part that represents one fourth to the right of 1. Our number should be somewhere in between 1 and 2 in our number line. If we look at the denominator in the fraction one fourth, this tells us that the whole between one and two needs to be divided into 4 equal parts. The equal parts are not represented by the lines but rather by the spaces between the lines. WE should have 4 equal spaces between 1 and 2 Now that we have divided our whole into fourths each line represents ¼. We can now represent the mixed number one whole and one fourth. That leaves the number -2.5. We know that -2.5 is in between -2 and 3. To represent the integer -2 we can move 2 whole units to the left. We know that .5 is equal to one half. Since we have a denominator of two in the fraction one half, I will partition our whole into two equal parts. I can move half of a unit to the left to represent -2 and a half. Since I have 2 wholes and my number is negative, I moved two units to the left of zero. and an additional one half to represent .5. Now That I have plotted all numbers on our numberline, I can place them in order from least to greatest by starting with the numbers that are furthest to the left and moving to the right. In order from least to greatest we have: -2.5, -1, 1 ¼ and then 3. If you are looking to master various concepts in math and science go ahead and subscribe to our channel, so make sure you dont miss out on any future content. see you all next time We hope you enjoyed this video. If you loved the video, make sure to give it a like , smash that subscribe ❤️ button, and click the notification bell. Don't forget to share with other teachers, your friends, and your family. Thank you for watching. CHECK OUT MORE OF OUR VIDEOS: What is Absolute Value? https://youtu.be/xKqT0QcWS8U What is a Percent or Percentage? https://youtu.be/pBpEPoh7gVE Make sure to leave your comments, opinions, and /or recommendation for future videos. We would love to hear your opinions. Please comment below.
Description
Did you know that number lines are used to locate, compare and order a set of integers and rational numbers on a Number Line? In this video we will be learning how to locate, compare and order integers and rational numbers using a numberline. Last lesson, we learned how to classify numbers. In this lesson we will learn how to compare and order integers and rational numbers using a number line. If we look at zero on a number line, as we move to the right our numbers become infinitely larger. We can add a couple of positive numbers to our number line to represent this. As we move to the left of zero we have negative numbers that are also counting but that become infinitely smaller in value. For example, -1 is greater in value than -4. The closer a negative number is to zero on a number line the greater its value. So how about fractions and decimals. Well fractions and decimals are found in between whole numbers and integers. For example, let’s say we were asked to compare the following numbers: 1 ¼, 3, -1, -2.5, We can compare all numbers by placing them on a numberline. We can start by placing our integers on a numberline. Positive 3 is 3 units to the right of zero, -1 is 1 unit to the left of zero. That leaves the number 1 and ¼ and -2.5. 1 and ¼ tells us we need to move one unit and a fractional part that represents one fourth to the right of 1. Our number should be somewhere in between 1 and 2 in our number line. If we look at the denominator in the fraction one fourth, this tells us that the whole between one and two needs to be divided into 4 equal parts. The equal parts are not represented by the lines but rather by the spaces between the lines. WE should have 4 equal spaces between 1 and 2 Now that we have divided our whole into fourths each line represents ¼. We can now represent the mixed number one whole and one fourth. That leaves the number -2.5. We know that -2.5 is in between -2 and 3. To represent the integer -2 we can move 2 whole units to the left. We know that .5 is equal to one half. Since we have a denominator of two in the fraction one half, I will partition our whole into two equal parts. I can move half of a unit to the left to represent -2 and a half. Since I have 2 wholes and my number is negative, I moved two units to the left of zero. and an additional one half to represent .5. Now That I have plotted all numbers on our numberline, I can place them in order from least to greatest by starting with the numbers that are furthest to the left and moving to the right. In order from least to greatest we have: -2.5, -1, 1 ¼ and then 3. If you are looking to master various concepts in math and science go ahead and subscribe to our channel, so make sure you dont miss out on any future content. see you all next time We hope you enjoyed this video. If you loved the video, make sure to give it a like , smash that subscribe ❤️ button, and click the notification bell. Don't forget to share with other teachers, your friends, and your family. Thank you for watching. CHECK OUT MORE OF OUR VIDEOS: What is Absolute Value? https://youtu.be/xKqT0QcWS8U What is a Percent or Percentage? https://youtu.be/pBpEPoh7gVE Make sure to leave your comments, opinions, and /or recommendation for future videos. We would love to hear your opinions. Please comment below.
