Regletas 2
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The document summarizes various mathematical concepts involving fractions, integers, and algebra: 1) It explains how to simplify expressions using the binomial square formula, Pythagorean theorem, and properties of addition and multiplication. 2) It provides examples of finding the greatest common divisor and least common multiple of integers. 3) It demonstrates how to perform operations like addition, subtraction, and multiplication on fractions with both equal and unequal denominators.
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Regletas 2
- 1. EJERCICIOS CON LAS REGLETAS DE CUISENAIRE JOSE GUILLERMO RODRIGUEZ ALARCON
- 2. 1 2 3 4 5 6 7 8 9 10
- 3. a 2 b 2 (a+b) 2 (a+b) 2 a 2 + b 2 (a+b) 2 = a 2 +2ab+b 2 TRINOMIO DEL CUADRADO PERFECTO a 2
- 4. b 2 2ab (2+5) 2 = 2 2 + 2(2x5) + 5 2 4 + 2x10+ 25 = 49 7 2 = 7x7 = 4 + 20 + 25 = 49
- 5. a 2 b 2 c 2 a 2 + b 2 = c 2 TEOREMA DE PITAGORAS 3 2 4 2 5 2 3 2 + 4 2 = 5 2 9 + 16 = 25
- 6. a 2 = 3 2 b 2 = 4 2 c 2 = a 2 + b 2 5 2 = 3 2 + 4 2 25 = 9 + 16
- 7. MAXIMO COMUN DIVISOR 12 2 X 6 = 12 3 X 4 = 12 6 X 2 = 12 18 2 X 9 = 18 3 X 6 = 18 6 X 3 = 18 EL MAXIMO COMUN DIVISOR DE 12 Y 18 ES 6
- 8. MINIMO COMUN MULTIPLO 3 3 x 2 = 6 3 x 3 = 9 3 x 4 = 12 EL MINIMO COMUN MULTIPLO DE 3 Y 4 ES 12 4 4 X 2 = 8 4 X 3 = 12 12 12
- 9. SUMA DE FRACCIONARIOS CON IGUAL DENOMINADOR + = 1/3 + 2/3 = 3/3 + = 2/5 + 4/5 6/5 =
- 10. SUMA DE FRACCIONARIOS CON DIFERENTE DENOMINADOR + HALLAMOS EL MINIMO COMUN MULTIPLO DE LOS DENOMINADORES 2 Y 3 QUE ES 6 Y CONSTRUIMOS FRACCIONES EQUIVALENTES = 1/2 2/3 + + = 3/6 + 4/6 = 7/6 SUMANDO LAS FRACCIONES HOMOGENEAS
- 11. NUMEROS NATURALES PROPIEDAD CONMUTATIVA 3 + 2 + 4 = 9 2 + 4 + 3 = 9 4 + 3 + 2 = 9
- 12. PROPIEDAD ASOCIATIVA + + + = 1 + 2 + 3 + 4 = 10 + + = ( 1 + 2 ) + 3 + 4 = 10 3 + 3 + 4 = 10 + = ( 1 + 2 + 3 ) + 4 = 10 6 + 4 = 10 + + = 1 + 2 + ( 3 + 4 ) = 10 1 + 2 + 7 = 10
- 13. RESTA DE FRACCIONARIOS CON IGUAL DENOMINADOR - = 4/5 - 2/5 = 2/5 - = 8/6 - 3/6 = 5/6
- 14. HALLAMOS EL MINIMO COMUN MULTIPLO DE LOS DENOMINADORES 4 Y 3 QUE ES 12 Y CONSTRUIMOS FRACCIONES EQUIVALENTES RESTA DE FRACCIONARIOS CON DIFERENTE DENOMINADOR - = - = 9/12 - 8/12 = 1/12 RESTANDO LAS FRACCIONES HOMOGENEAS
- 15. MULTIPLICACION DE FRACCIONARIOS X = 1/2 X 3/4 = 3/8 SE MULTIPLICAN NUMERADORES CON NUMERADORES Y DENOMINADORES CON DENOMINADORES X = 4/5 X 2/3 = 8/15