Unit 5, Lesson 10
Usemos cocientes parciales
Grado 6
Practice
Problem 1
Esta es una forma de encontrar \(2,\!105 \div 5\) usando cocientes parciales. Muestra una forma diferente de usar cocientes parciales para dividir 2,105 entre 5.
Partial quotient method of 2,105 divided by 5, 11 rows. First row: 421. Second row: 1. Third row: 20. Fourth row: 400. Fifth row: 5, long division symbol with 2,105 inside. Sixth row: minus 2,000. Horizontal line. Seventh row: 105. Eighth row: minus 100. Horizontal line. Ninth row: 5. Tenth row: minus 5. Horizontal line. Eleventh row: 0.
Problem 2
Tanto Andre como Jada encontraron \(657 \div 3\) usando cocientes parciales, pero hicieron los cálculos de forma diferente, como se puede ver aquí.
Andre and Jada's calculation of a partial product problem, 657 divided by 3. Andre's calculation. 657 inside the division bar, divided by 3. 3 divides into 657, 200 times. Subtract 600 from 657 for a remainder of 57. 3 divides into 57, 10 times. Subtract 30 from 57 for a remainder of 27. 3 divides into 27, 9 times. Subtract 27 from 27 for a remainder of 0. Add all of Andre's partial quotients of 200, 10 and 9 for a total of 219. Jada's calcluation. 657 inside the division bar, divided by 3. 3 divides into 657, 50 times. Subtract 150 from 657 for a remainder of 507. 3 divides into 507, 100 times. Subtract 300 from 507 for a remainder of 207. 3 divides into 207, 60 times. Subtract 180 from 207 for a remainder of 27. 3 divides into 27, 9 times. Subtract 27 from 27 for a remainder of 0. Add all of Jada's partial quotients of 50, 100, 60 and 9 for a total of 219.
- ¿En qué se parecen los trabajos de Jada y Andre? ¿En qué se diferencian?
- Explica por qué ambos obtuvieron la misma respuesta.
Problem 4
Este es un cálculo incompleto de \(534\div 6\).
Escribe los números que faltan (marcados con el signo “?”) para que el cálculo quede completo.
An incomplete calculation of 534 divided by 6, 8 rows. First row: 89. Second row: 9. Third row: 80. Fourth row: 6, long division symbol with 534 inside. Fifth row: minus question mark symbol. Horizontal line. Sixth row: question mark symbol. Seventh row: minus question mark symbol. Horizontal line. Eighth row: 0.