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

Answer:

a. 22.5 km

b. 267.52 m

c. 95 m

d. $(4.2)(10^{-5})$ km

Step-by-step explanation:

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

$\frac{5hm}{10}=0.5km$

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

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

$\frac{44cm}{100}=0.44m\\(19m)(0.44m)(32)=267.52m$

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

$\frac{1,140m}{12})=95m$

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

$\frac{6hm}{10}=0.6km$

$\frac{7dam}{100}=0.07km$

$\frac{5m}{1000}=0.005km$

$\frac{(3km)(0.6km)(0.07km)(0.005km)}{15}=(4.2)(10^{-5})$ km