Measurement and units (T4 W10)
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Measurement is a fundamental concept in mathematics that allows us to quantify physical quantities. Common units of measurement include length (meters, centimeters), mass (kilograms, grams), and volume (liters, milliliters). It's essential to understand how to convert between these units. For example, 1 meter equals 100 centimeters, and 1 kilogram equals 1000 grams. Knowing these conversions helps us solve problems accurately.
Let's convert 2500 milliliters to liters. We know that 1 liter equals 1000 milliliters. To convert, we divide 2500 by 1000. 2500 mL ÷ 1000 = 2.5 L. Thus, 2500 milliliters is equal to 2.5 liters. This example shows how to apply division for unit conversion.
Now, let's work together on converting 1500 grams to kilograms. Remember, 1 kilogram equals 1000 grams. To convert, we divide 1500 by 1000. What do you get? (Students will respond, and the teacher will guide them to the correct answer, which is 1.5 kg.) This exercise reinforces the concept of division in unit conversion.
For independent practice, solve the following problems: 1. Convert 5000 milliliters to liters. 2. If a book weighs 1.2 kilograms, how many grams does it weigh? 3. A bottle contains 2.5 liters of water. How many milliliters is that? 4. Convert 3.5 meters to centimeters. Show your working clearly for each problem. After completing the problems, review your answers with a partner and discuss any mistakes.
Answer: 250 cm
Since 1 meter equals 100 centimeters, 2.5 meters equals 2.5 x 100 = 250 cm.
Answer: 0.75 kg
To convert grams to kilograms, divide by 1000. 750 grams ÷ 1000 = 0.75 kg.
Answer: 1500 mL
1 liter equals 1000 milliliters, so 1.5 liters equals 1.5 x 1000 = 1500 mL.
Answer: 0.15 m
To convert centimeters to meters, divide by 100. 15 cm ÷ 100 = 0.15 m.
Answer: 3 liters
3000 milliliters equals 3000 ÷ 1000 = 3 liters.
Answer: 2200 g
To convert kilograms to grams, multiply by 1000. 2.2 kg x 1000 = 2200 g.
Answer: 500 mL
0.5 liters equals 0.5 x 1000 = 500 mL.
Answer: 200 cm
To convert meters to centimeters, multiply by 100. 2 m x 100 = 200 cm.