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Determine if the following inequalities are true or false: a) 500cm > 5m b) 25km > 18000m c) 950kg > 950g d) 8kg > 800g e) 2L > 5mL f) 4.5L > 450mL

Mathematics

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Answers

6 parts
a

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b

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c

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d

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e

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f

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Step-by-step solution

12 steps

Part a· 2 steps

To compare 500 cm500 \text{ cm} and 5 m5 \text{ m}, convert meters to centimeters.

  1. Convert 5 m5 \text{ m} to centimeters.

    1 m=100 cm1 \text{ m} = 100 \text{ cm} 5 m=5×100 cm=500 cm5 \text{ m} = 5 \times 100 \text{ cm} = 500 \text{ cm}

  2. Compare the values.

    500 cm=500 cm500 \text{ cm} = 500 \text{ cm}

    So, 500 cm=5 m500 \text{ cm} \boxed{=} 5 \text{ m}.

Part b

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To compare 25 km25 \text{ km} and 18000 m18000 \text{ m}, convert kilometers to meters.

  1. Convert 25 km25 \text{ km} to meters.

    1 km=1000 m1 \text{ km} = 1000 \text{ m} 25 km=25×1000 m=25000 m25 \text{ km} = 25 \times 1000 \text{ m} = 25000 \text{ m}

  2. Compare the values.

    25000 m>18000 m25000 \text{ m} > 18000 \text{ m}

    So, 25 km>18000 m25 \text{ km} \boxed{>} 18000 \text{ m}.

Part c

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To compare 950 kg950 \text{ kg} and 950 g950 \text{ g}, convert kilograms to grams.

  1. Convert 950 kg950 \text{ kg} to grams.

    1 kg=1000 g1 \text{ kg} = 1000 \text{ g} 950 kg=950×1000 g=950000 g950 \text{ kg} = 950 \times 1000 \text{ g} = 950000 \text{ g}

  2. Compare the values.

    950000 g>950 g950000 \text{ g} > 950 \text{ g}

    So, 950 kg>950 g950 \text{ kg} \boxed{>} 950 \text{ g}.

Part d

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To compare 8 kg8 \text{ kg} and 8000 g8000 \text{ g}, convert kilograms to grams.

  1. Convert 8 kg8 \text{ kg} to grams.

    1 kg=1000 g1 \text{ kg} = 1000 \text{ g} 8 kg=8×1000 g=8000 g8 \text{ kg} = 8 \times 1000 \text{ g} = 8000 \text{ g}

  2. Compare the values.

    8000 g=8000 g8000 \text{ g} = 8000 \text{ g}

    So, 8 kg=8000 g8 \text{ kg} \boxed{=} 8000 \text{ g}.

Part e

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To compare 2 L2 \text{ L} and 5 mL5 \text{ mL}, convert liters to milliliters.

  1. Convert 2 L2 \text{ L} to milliliters.

    1 L=1000 mL1 \text{ L} = 1000 \text{ mL} 2 L=2×1000 mL=2000 mL2 \text{ L} = 2 \times 1000 \text{ mL} = 2000 \text{ mL}

  2. Compare the values.

    2000 mL>5 mL2000 \text{ mL} > 5 \text{ mL}

    So, 2 L>5 mL2 \text{ L} \boxed{>} 5 \text{ mL}.

Part f

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To compare 4.5 L4.5 \text{ L} and 4500 mL4500 \text{ mL}, convert liters to milliliters.

  1. Convert 4.5 L4.5 \text{ L} to milliliters.

    1 L=1000 mL1 \text{ L} = 1000 \text{ mL} 4.5 L=4.5×1000 mL=4500 mL4.5 \text{ L} = 4.5 \times 1000 \text{ mL} = 4500 \text{ mL}

  2. Compare the values.

    4500 mL=4500 mL4500 \text{ mL} = 4500 \text{ mL}

    So, 4.5 L=4500 mL4.5 \text{ L} \boxed{=} 4500 \text{ mL}.

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