1.1: Taking Measurements- Numbers and Units

Madera Community College Introductory Chemistry v2 · LibreTexts

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    1.1: Taking Measurements- Numbers and Units
    Learning Objectives
    • Express quantities properly, using a number and a unit.

    A coffee maker’s instructions tell you to fill the coffee pot with 4 cups of water and to use 3 scoops of coffee. When you follow these instructions, you are measuring. When you visit a doctor’s office, a nurse checks your temperature, height, weight, and perhaps blood pressure (Figure \(\PageIndex{1}\)); the nurse is also measuring.

    A close-up of a person's arm with a blood pressure cuff and monitor, set on a table with a keyboard in the background.
    Figure \(\PageIndex{1}\): Measuring Blood Pressure. A nurse or a doctor measuring a patient’s blood pressure is taking a measurement. (GFDL; Pia von Lützau).

    Chemists measure the properties of matter and express these measurements as quantities. A quantity is an amount of something and consists of a number and a unit. The number tells us how many (or how much), and the unit tells us what the scale of measurement is. For example, when a distance is reported as “5 kilometers,” we know that the quantity has been expressed in units of kilometers and that the number of kilometers is 5. If you ask a friend how far they walk from home to school, and the friend answers “12” without specifying a unit, you do not know whether your friend walks 12 kilometers, 12 miles, 12 furlongs, or 12 yards. Both a number and a unit must be included to express a quantity properly.

    To understand chemistry, we need a clear understanding of the units chemists work with and the rules they follow for expressing numbers. The next two sections examine the rules for expressing numbers.

    Example \(\PageIndex{1}\)

    Identify the number and the unit in each quantity.

    1. one dozen eggs
    2. 2.54 centimeters
    3. a box of pencils
    4. 88 meters per second

    Solution

    1. The number is one, and the unit is a dozen eggs.
    2. The number is 2.54, and the unit is centimeter.
    3. The number 1 is implied because the quantity is only a box. The unit is box of pencils.
    4. The number is 88, and the unit is meters per second. Note that in this case the unit is actually a combination of two units: meters and seconds.

    Key Take Away

    • Identify a quantity properly with a number and a unit.

    This page titled 1.1: Taking Measurements- Numbers and Units was last modified on Mon, 02 Jun 2025 17:30:59 GMT and is shared under a CC BY-NC-SA 3.0 license and was authored, remixed, and/or curated by Jamie MacArthur.