3 OPERACIONES CON DECIMALES sin hacer cuentas largas

We'll solve three mathematical operations with decimal numbers that seem complicated but simplify into just a few steps when we recognize the correct structure. We'll work with properties of exponents, factoring, and the difference of squares, avoiding long and unnecessary multiplications. In the first exercise, we use the properties of exponents to solve a division with decimal exponents. We rewrite 4 as 2², multiply exponents in a power of a power, and subtract exponents when dividing powers with the same base. In the second exercise, we'll see how factoring allows us to easily solve an expression like 7.3² − 7.3 · 6.3. Instead of performing two long multiplications, we identify the repeated factor and simplify the entire operation. In the third exercise, we apply the difference of squares identity: a² − b² = (a + b)(a − b) This property transforms a seemingly cumbersome operation into a simple product that allows us to immediately simplify using the denominator. The main idea of ​​this lesson is to learn to recognize mathematical properties and structures. It's not about doing endless calculations, but about understanding which tool is best to use in each situation. At the end of the video, I've included a fourth operation for you to solve: (7.5² − 4.1²) ÷ 11.6 Write your result and your work in the comments. CHAPTERS 0:00 Introduction: Three Irresistible Mathematical Operations 0:21 EXERCISE 1. Powers with Decimal Exponents 0:30 Rewriting 4 as 2² 0:41 Power of a Power: Multiplying Exponents 1:30 Dividing Powers with the Same Base 2:01 Result of Exercise 1 2:19 EXERCISE 2. Factoring with Decimal Numbers 2:33 Why Multiplying Directly Isn't Convenient 2:51 Factoring Out 7.3 3:26 Simplifying the Operation 3:40 Result of Exercise 2 3:53 Why Math Shouldn't Be a Hard Job 4:57 EXERCISE 3. Difference of Squares with Decimal Numbers 5:18 Recognizing a Difference of Squares 5:31 Applying a² − b² = (a + b)(a − b) 5:51 Factoring the numerator 6:07 Simplifying with the denominator 6:42 How to correctly write decimal numbers in Spanish 9:05 Result of Exercise 3 9:17 EXERCISE PROPOSED FOR YOU 9:23 Solve (7.5² − 4.1²) ÷ 11.6 9:43 Leave your procedure and result in the comments #Mathematics #DecimalNumbers #Powers #CommonFactor #DifferenceOfSquares #Algebra #MathWithJuan More exercises on operations with powers here: Potencias desde cero | Ejercicios resuelto... #powers #mathematics #mathwithjuan You help me a lot if you become a member of MATH WITH JUAN @matematicaconjuan