Question

Arrange the following in decreasing order. 3.8 m^2 380 cm? 0.038 km2 3,800 mm Which of the following shows the answers in decreasing order? O A. 3,800 mm², 380 cm², 0.038 km², 3.8 m² B. 380 cm², 3.8 m², 0.038 km², 3,800 mm? OC. 0.038 km², 3.8 m², 380 cm², 3,800 mm? OD. 3,800 mm², 380 cm², 3.8 m², 0.038 km? Click to select your answer. Save for Later O Type here to search t e

Answer 1

Answer:

C. 0.038 km² > 3.8 m² > 380 cm² > 3800 mm²  

Step-by-step explanation:

Convert every measurement to the same unit, say, square metres.

(a) 3.8 m²

No conversion necessary

(b) 380 cm²

$\text{Area} = \text{380 cm}^{2} \times \left (\dfrac{\text{1 m}}{\text{100 cm}} \right )^{2} = \textbf{0.038 m}^{2}$

(c) 0.038 km²

$\text{Area} = \text{0.038 km}^{2} \times \left (\dfrac{\text{1000 m}}{\text{1 km}} \right )^{2} = \textbf{38 000 m}^{2}$

(d) 3800 mm²

$\text{Area} = \text{3800 mm}^{2} \times \left (\dfrac{\text{1 m}}{\text{1000 mm}} \right )^{2} = \textbf{0.0038 m}^{2}$

In decreasing order, 0.038 km² > 3.8 m² > 380 cm² > 3800 mm²