In this math video we will be finding the difference on a vertical number line to solve a real world math problem. We are tasked with finding the difference in two average temperatures. We will use a thermometer, a vertical number line, to visualize the information given in the problem. We will then model the distance between the two values. We will add a whole number and a decimal while reviewing the rules for adding decimals. We will understand that to add decimals you must line up the decimals and digits. We will add and determine the correct value. An exemplar solution is provided.
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00:00 Introduction
00:11 The Question
00:50 The Given Information
01:13 Create a Vertical Number Line
01:36 Finding Distance/Difference Between 2 Values
02:03 Rules for Adding Decimals
02:30 The Solution
The Number System
7.NS.A.1 Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical number line diagram.
7.NS.A.1.a Describe situations in which opposite quantities combine to make 0. For example, a hydrogen atom has 0 charge because its two constituents are oppositely charged.
7.NS.A.1.b Understand p + q as the number located a distance |q| from p, in the positive or negative direction depending on whether q is positive or negative. Show that a number and its opposite have a sum of 0 (are additive inverses). Interpret sums of rational numbers by describing real-world contexts.
7.NS.A.1.c Understand subtraction of rational numbers as adding the additive inverse, p – q = p + (–q). Show that the distance between two rational numbers on the number line is the absolute value of their difference, and apply this principle in real-world contexts.
7.NS.A.1.d Apply properties of operations as strategies to add and subtract rational numbers.
7.NS.A.3 Solve real-world and mathematical problems involving the four operations with rational numbers.