Finding Distance on a Number Line | 7.NS.A.1 💚💙

Описание: In this math video we will learn about finding distance on a number line. We will understand that distance is always represented by a positive value on a number line. We will discuss distance from home to school vs. school to home and realize that we never say we are a negative distance when we are in one location vs. the other. We will review absolute value and use the definition. The absolute value of a number is its distance from zero on a number line. We will use the concept of absolute value to write a numerical expression, using absolute value, to represent the distance between two points on a number line. We will also review the Commutative Property to help us identify the correct solution.

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00:00 Introduction
00:07 The Question
00:30 Understanding the Problem
00:43 What is Absolute Value?
01:04 Distance is Always Positive
01:35 Using the Number Line to Find Distance
02:14 Writing a Numerical Expression
02:33 Commutative Property of Addition
02:48 The Solution

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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.1 Represent distance on a number line using an absolute value expression.