Question

1. fill in the blanks to find $6 \times 80$.

$6 \times 80 = 6 \times (\\_\\_\\_\\_\\_\\_ \times 10)$
$= (6 \times \\_\\_\\_\\_\\_\\_) \times 10$
$= \\_\\_\\_\\_\\_\\_ \times 10$
$= \\_\\_\\_\\_\\_\\_$

1. the rectangle is partitioned into fractional units.

a. write the unit fraction on each unit.
b. shade 3 units.
c. how much of the rectangle is shaded? write your answer in fraction form

Explanation:

Step1: Descomponer 80

Como \(80 = 8\times10\), entonces \(6\times80 = 6\times(8\times10)\)

Step2: Aplicar la propiedad asociativa de la multiplicación

\((a\times b)\times c=a\times(b\times c)\), así que \(6\times(8\times10)=(6\times8)\times10\)

Step3: Calcular \(6\times8\)

\(6\times8 = 48\), entonces \((6\times8)\times10=48\times10\)

Step4: Calcular \(48\times10\)

\(48\times10 = 480\)

Answer:

\(6\times80 = 6\times(8\times10)=(6\times8)\times10 = 48\times10=480\)