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 units such as meters, centimeters, liters, and grams to express these measurements. For example, when measuring the length of a pencil, we might say it is 15 centimeters long. It's important to choose the correct unit based on what we are measuring. For instance, we use liters for liquids and grams for weight.
Let's measure the length of a classroom desk. If the desk is 120 centimeters long, we can express this measurement in meters. Since 1 meter equals 100 centimeters, we can convert 120 centimeters to meters by dividing by 100. Therefore, 120 cm is equal to 1.2 meters. This shows how we can convert between units of measurement.
Now, let's practice measuring some objects around the classroom. I will give you a ruler, and you will measure the length of your desk in centimeters. After measuring, convert your measurement to meters. For example, if your desk measures 150 cm, you would divide by 100 to find it is 1.5 meters. Remember to write down your measurements clearly and show your working!
Complete the following measurement problems independently. 1. Measure the length of your pencil in centimeters and convert it to meters. 2. If a bottle holds 2 liters of water, how many milliliters is that? (Hint: 1 liter = 1000 milliliters) 3. A bag of flour weighs 2.5 kilograms. How many grams is that? (Hint: 1 kilogram = 1000 grams) Write your answers and show your calculations.
Answer: Centimeters
Centimeters are commonly used to measure small lengths, such as pencils.
Answer: 3000 mL
There are 1000 milliliters in a liter, so 3 liters equals 3000 milliliters.
Answer: 2.5 kg
To convert grams to kilograms, divide by 1000. 2500 grams ÷ 1000 = 2.5 kilograms.
Answer: Kilogram
Kilograms are used to measure weight, while the other options measure length or volume.
Answer: 1500 mL
1.5 liters equals 1500 milliliters because 1 liter is 1000 milliliters.
Answer: 120 cm
1.2 meters is equal to 120 centimeters since 1 meter equals 100 centimeters.
Answer: 5000 g
To convert kilograms to grams, multiply by 1000. 5 kg × 1000 = 5000 grams.
Answer: Liters
Liters are the standard unit for measuring the volume of liquids.