'Adding and Subtracting Real Numbers' (PreAlgebra 1.3)

Adding and Subtracting Real Numbers: Understanding the Additive Inverse and Identity
In this video, we'll explore how to add and subtract real numbers by using number lines to visualize operations. We’ll also discuss the concepts of the additive inverse and additive identity and how they apply when working with integers, fractions, and decimals. By walking through several examples, you'll see how positive and negative numbers interact and learn the rules for combining real numbers.
What You Will Learn:
How to add and subtract real numbers using number lines.
Understanding the additive inverse and additive identity properties.
Strategies for dealing with negative and positive numbers in addition and subtraction.
Step-by-step examples with integers, fractions, and decimals.
📚 Check out my book: 1001 Calculus Problems for Dummies for more practice!
👍 **If you find this video helpful, please like, share, and subscribe for more math tutorials!
Support My Work:
If you'd like to support the creation of more math content, consider becoming a patron on Patreon: / patrickjmt
#RealNumbers #AddingAndSubtracting #MathTutorial #PatrickJMT #Algebra #AdditiveInverse #AdditiveIdentity #NumberLines #Integers #Fractions #MathHelp #Mathematics #Arithmetic #Homeschooling #Education #Functions

[@famousHero007]

For those of you that got stuck @14:22, in order to change the sign in the middle from - to + , you have to change the sign of b. So a - b becomes a + (-b) and a - (-b) becomes a + (+b).

[@kaikailash7580]

Sir, please post the videos daily

[@PixelPerInch33]

First

[@The_Green_Man_OAP]

That's just rational numbers in +ve or -ve directions, and you'll always get another.
But for "reals", in general, you have
to have the bases separated, because irrationals aren't measurable (except vs multiples of themselves, or perhaps geometrically like with using Pythagorean triangles) and can only be approximated.
eg. +√2 -5√2= -4√2
= -(4√2-5) -5
= - {4√2} -5
= fractional + integer
Also: √2 -5(2)=(2-√2+√2)/√2 -10
=(2-√2)/√2 -9
={√2} -9
= fractional + integer,
Which is the best you simplify these to.