Question

write these amounts in order of size. use the tip box to help you. a 38.1 cl, 300 ml, 0.385 l b 725 mm, 7.3 cm, 0.705 m c 5.12 kg, 530 g, 0.0058 t, 519000 mg d 461.5 cm, 0.0046 km, 0.45 m, 4450 mm

Explanation:

Part a

Step1: Convert all to liters

• $38.1\ \text{cL} = 38.1 \times 0.01\ \text{L} = 0.381\ \text{L}$
• $300\ \text{mL} = 300 \times 0.001\ \text{L} = 0.3\ \text{L}$
• $0.385\ \text{L}$ (already in liters)

Step2: Order from smallest to largest

Compare values: $0.3 < 0.381 < 0.385$

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Part b

Step1: Convert all to meters

• $725\ \text{mm} = 725 \times 0.001\ \text{m} = 0.725\ \text{m}$
• $7.3\ \text{cm} = 7.3 \times 0.01\ \text{m} = 0.073\ \text{m}$
• $0.705\ \text{m}$ (already in meters)

Step2: Order from smallest to largest

Compare values: $0.073 < 0.705 < 0.725$

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Part c

Step1: Convert all to kilograms

• $530\ \text{g} = 530 \times 0.001\ \text{kg} = 0.53\ \text{kg}$
• $0.0058\ \text{t} = 0.0058 \times 1000\ \text{kg} = 5.8\ \text{kg}$
• $519000\ \text{mg} = 519000 \times 0.000001\ \text{kg} = 0.519\ \text{kg}$
• $5.12\ \text{kg}$ (already in kilograms)

Step2: Order from smallest to largest

Compare values: $0.519 < 0.53 < 5.12 < 5.8$

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Part d

Step1: Convert all to meters

• $461.5\ \text{cm} = 461.5 \times 0.01\ \text{m} = 4.615\ \text{m}$
• $0.0046\ \text{km} = 0.0046 \times 1000\ \text{m} = 4.6\ \text{m}$
• $0.45\ \text{m}$ (already in meters)
• $4450\ \text{mm} = 4450 \times 0.001\ \text{m} = 4.45\ \text{m}$

Step2: Order from smallest to largest

Compare values: $0.45 < 4.45 < 4.6 < 4.615$

Answer:

a. $300\ \text{mL}, 38.1\ \text{cL}, 0.385\ \text{L}$
b. $7.3\ \text{cm}, 0.705\ \text{m}, 725\ \text{mm}$
c. $519000\ \text{mg}, 530\ \text{g}, 5.12\ \text{kg}, 0.0058\ \text{t}$
d. $0.45\ \text{m}, 4450\ \text{mm}, 0.0046\ \text{km}, 461.5\ \text{cm}$