Question

Solve the following multiplication and division problems.

a. 3 km 5 hm × 15 =
b. 19 m 44 cm × 32 =
c. 1,140 m ÷ 12 =
d. 3 km 6 hm 7 dam 5 m ÷ 15 =

Answer 1

a. 22.5 km

b. 267.52 m

c. 95 m

d.
`(4.2)(10^(-5))` km

Explanation:

a. You can convert from hectometers to kilometers, and then you can make the multiplication:

`(5hm)/(10)=0.5km`

`(3km)(0.5km)(15)=22.5km`

b. You can convert from centimeters to meters, and then you can make the multiplication:

`(44cm)/(100)=0.44m\\(19m)(0.44m)(32)=267.52m`

c. You only need to divide 1,140 meters by 12:

`(1,140m)/(12))=95m`

d. You can convert from hectometers to kilometers, from decameters to kilometers and from meters to kilometers, and divide this by 15:

`(6hm)/(10)=0.6km`

`(7dam)/(100)=0.07km`

`(5m)/(1000)=0.005km`

`((3km)(0.6km)(0.07km)(0.005km))/(15)=(4.2)(10^(-5))` km