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
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

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Answer

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a) To compare 500 cm500 \text{ cm} and 5 m5 \text{ m}, convert meters to centimeters. Step 1: Convert 5 m5 \text{ m} to centimeters. 1m=100 cm1 m = 100 \text{ cm} 5m=5×100cm=500 cm5 m = 5 \times 100 cm = 500 \text{ cm} Step 2: Compare the values. 500cm=500 cm500 cm = 500 \text{ cm} So, 500cm=5 m500 cm = 5 \text{ m}.

b) To compare 25 km25 \text{ km} and 18000 m18000 \text{ m}, convert kilometers to meters. Step 1: Convert 25 km25 \text{ km} to meters. 1km=1000 m1 km = 1000 \text{ m} 25km=25×1000m=25000 m25 km = 25 \times 1000 m = 25000 \text{ m} Step 2: Compare the values. 25000m>18000 m25000 m > 18000 \text{ m} So, 25km>18000 m25 km > 18000 \text{ m}.

c) To compare 950 kg950 \text{ kg} and 950 g950 \text{ g}, convert kilograms to grams. Step 1: Convert 950 kg950 \text{ kg} to grams. 1kg=1000 g1 kg = 1000 \text{ g} 950kg=950×1000g=950000 g950 kg = 950 \times 1000 g = 950000 \text{ g} Step 2: Compare the values. 950000g>950 g950000 g > 950 \text{ g} So, 950kg>950 g950 kg > 950 \text{ g}.

d) To compare 8 kg8 \text{ kg} and 8000 g8000 \text{ g}, convert kilograms to grams. Step 1: Convert 8 kg8 \text{ kg} to grams. 1kg=1000 g1 kg = 1000 \text{ g} 8kg=8×1000g=8000 g8 kg = 8 \times 1000 g = 8000 \text{ g} Step 2: Compare the values. 8000g=8000 g8000 g = 8000 \text{ g} So, 8kg=8000 g8 kg = 8000 \text{ g}.

e) To compare 2 L2 \text{ L} and 5 mL5 \text{ mL}, convert liters to milliliters. Step 1: Convert 2 L2 \text{ L} to milliliters. 1L=1000 mL1 L = 1000 \text{ mL} 2L=2×1000mL=2000 mL2 L = 2 \times 1000 mL = 2000 \text{ mL} Step 2: Compare the values. 2000mL>5 mL2000 mL > 5 \text{ mL} So, 2L>5 mL2 L > 5 \text{ mL}.

f) To compare 4.5 L4.5 \text{ L} and 4500 mL4500 \text{ mL}, convert liters to milliliters. Step 1: Convert 4.5 L4.5 \text{ L} to milliliters. 1L=1000 mL1 L = 1000 \text{ mL} 4.5L=4.5×1000mL=4500 mL4.5 L = 4.5 \times 1000 mL = 4500 \text{ mL} Step 2: Compare the values. 4500mL=4500 mL4500 mL = 4500 \text{ mL} So, 4.5L=4500 mL4.5 L = 4500 \text{ mL}.

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a) To compare 500 cm and 5 m, convert meters to centimeters. Step 1: Convert 5 m to centimeters.

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

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI Answer
a) To compare 500 cm and 5 m, convert meters to centimeters. Step 1: Convert 5 m to centimeters. 1 m = 100 cm 5 m = 5 × 100 cm = 500 cm Step 2: Compare the values. 500 cm = 500 cm So, 500 cm = 5 m. b) To compare 25 km and 18000 m, convert kilometers to meters. Step 1: Convert 25 km to meters. 1 km = 1000 m 25 km = 25 × 1000 m = 25000 m Step 2: Compare the values. 25000 m > 18000 m So, 25 km > 18000 m. c) To compare 950 kg and 950 g, convert kilograms to grams. Step 1: Convert 950 kg to grams. 1 kg = 1000 g 950 kg = 950 × 1000 g = 950000 g Step 2: Compare the values. 950000 g > 950 g So, 950 kg > 950 g. d) To compare 8 kg and 8000 g, convert kilograms to grams. Step 1: Convert 8 kg to grams. 1 kg = 1000 g 8 kg = 8 × 1000 g = 8000 g Step 2: Compare the values. 8000 g = 8000 g So, 8 kg = 8000 g. e) To compare 2 L and 5 mL, convert liters to milliliters. Step 1: Convert 2 L to milliliters. 1 L = 1000 mL 2 L = 2 × 1000 mL = 2000 mL Step 2: Compare the values. 2000 mL > 5 mL So, 2 L > 5 mL. f) To compare 4.5 L and 4500 mL, convert liters to milliliters. Step 1: Convert 4.5 L to milliliters. 1 L = 1000 mL 4.5 L = 4.5 × 1000 mL = 4500 mL Step 2: Compare the values. 4500 mL = 4500 mL So, 4.5 L = 4500 mL. Drop the next question! 📸