Measurement and units (T3 W2)
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Measurement is the process of determining the size, length, or amount of something. In mathematics, we often use standard units such as meters for length, liters for volume, and grams for mass. It is crucial to understand both the metric and imperial systems, as they are commonly used in various contexts. For instance, while the metric system is widely used in science, the imperial system is still prevalent in everyday life in some countries.
Let's convert 5 kilometers to meters. We know that 1 kilometer equals 1000 meters. Therefore, to convert kilometers to meters, we multiply by 1000. So, 5 kilometers x 1000 meters/kilometer = 5000 meters. This example illustrates how to convert larger units to smaller units by multiplying.
Now, let's practice converting units together. Convert 2500 milliliters to liters. Remember that 1 liter equals 1000 milliliters. To convert, divide 2500 milliliters by 1000. What do you get? (Answer: 2.5 liters). This exercise helps reinforce the concept of unit conversion.
For independent practice, solve the following problems: 1) Convert 3.5 meters to centimeters. 2) If a bottle holds 1.5 liters of water, how many milliliters is that? 3) A package weighs 2500 grams. How many kilograms does it weigh? Show your working clearly for each problem.
Answer: Meters
Meters are the standard unit of length in the metric system.
Answer: 2000 mL
There are 1000 milliliters in a liter, so 2 liters equals 2000 milliliters.
Answer: 1.5 kg
To convert grams to kilograms, divide by 1000. Thus, 1500 grams is 1.5 kilograms.
Answer: Liter
Liters are used to measure volume.
Answer: 120000 meters
To convert kilometers to meters, multiply by 1000. Therefore, 120 km = 120,000 m.
Answer: 0.3048
1 foot is equal to 0.3048 meters.
Answer: 500 cm
Since 1 meter equals 100 centimeters, 5 meters equals 500 centimeters.
Answer: Kilograms
Kilograms are the appropriate unit for measuring mass.