Question

metric measurements: mastering the metric system
the metric system is an internationally recognized system of measurement used in science,
engineering, and most countries around the world. it is based on units of ten, making it easy to
convert between different units. the basic units in the metric system include the meter (for length),
the liter (for volume), and the gram (for mass). prefixes like kilo-, centi-, and milli- are used to
indicate multiples or fractions of these base units. understanding how to use and convert metric
measurements is an essential skill in science and everyday life.
fill in the blank: fill in the blank with the correct words.

1. the basic unit of mass in the metric system is the _.
2. one kilometer is equal to _ meters.
3. the prefix \centi-\ means _ of a unit.
4. to measure the volume of a liquid, you would use _ as the unit.
5. the prefix \milli-\ means _ of a unit.

word bank: milliliter, 1/100, gram, 1/1000, 1000, liter
multiple choice questions: choose the correct answer from the choices for each question.

1. which of the following is the correct conversion?

• a) 1 cm = 10 mm
• b) 1 cm = 100 mm
• c) 1 cm = 1000 mm
• d) 1 cm = 0.1 mm

1. what is the mass of a textbook if it weighs 2.5kg in grams?

• a) 25 g
• b) 250 g
• c) 2500
• d) 25000 g

1. which metric prefix means 1/1000?

• a) kilo-
• b) centi-
• c) milli-
• d) deca-

Explanation:

Fill in the Blank:

1. gram

The text states that the basic units in the metric system include the gram (for mass).

2. 1000

Since the metric system is based on units of ten, and "kilo -" means 1000 times the base unit (meter in this case).

3. 1/100

This is a standard metric prefix definition.

4. liter

The text mentions the liter is for volume.

5. 1/1000

This is a standard metric prefix definition.

Multiple Choice Questions:

1. A) 1 cm = 10 mm

Since 1 centimeter (cm) is 1/100 of a meter and 1 millimeter (mm) is 1/1000 of a meter. So, \(1\mathrm{cm}=\frac{1}{100}\mathrm{m}\) and \(1\mathrm{mm}=\frac{1}{1000}\mathrm{m}\). Then \(\frac{1\mathrm{cm}}{1\mathrm{mm}}=\frac{\frac{1}{100}\mathrm{m}}{\frac{1}{1000}\mathrm{m}} = 10\), so \(1\mathrm{cm} = 10\mathrm{mm}\).

2. C) 2500 g

Since \(1\mathrm{kg}=1000\mathrm{g}\), then \(2.5\mathrm{kg}=2.5\times1000\mathrm{g} = 2500\mathrm{g}\).

3. C) milli -

By metric prefix definitions, "milli -" means 1/1000 of a unit.

Answer:

1. gram
2. 1000
3. 1/100
4. liter
5. 1/1000

Multiple Choice:

1. A. 1 cm = 10 mm
2. C. 2500 g
3. C. milli -