A series of free High School Chemistry
In this lesson, we will learn
- Scientific Units
- Scientific Notation
- Significant Figures
There are certain unit systems which the scientific community has universally agreed upon.
To measure distance in scientific units we use meters (m),
to measure mass we use grams (g),
to measure volume we use liters (L) and
to measure temperature we use either degrees centigrade (C) or degrees Kelvin (K).
Units, SI, and Metric Prefix Conversions
The following figure shows how to convert to scientific notation. Scroll down the page for more examples and solutions.
Scientific notation is used to make extremely large or small numbers more manageable. Numbers written in scientific notation are the products of a digit term and an exponential term and are written in the general form a x 10n
. For example, 0.0000234 is written 2.34 × 10n
and 456,000 is written as 4.56 × 105
Learn to convert numbers into and out of scientific notation. Scientific notation is a way to express very big and very small numbers with exponents as a power of ten. It is also sometimes called exponential notation. In this video, we will have an explanation and tutorial, and do practice and example problems.
Scientific Notation Practice Problems
We'll do lots of practice problems so that scientific notation becomes really easy. In scientific notation, you express a number with exponents on ten. As you move the decimal point, the exponent on 10 changes. Scientific notation is sometimes called exponential notation.
When working with scientific data, we only want to show as many figures as carry accurate meaning, called significant figures. When adding or subtracting two numbers, we round to the same number of decimal places as the term with the fewest decimal places. When multiplying or dividing numbers we round to the same number of figures as the term with the lowest number of significant figures. In scientific notation, the digit term, not the exponential term counts as significant.
Significant Figures and Zero
When you're doing significant digits, how do you deal with zeros?
Significant Zero Practice Problems
Lots of practice problems to work on significant figures with zeros.
How to round with significant figures when you're doing scientific notation problems?
Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.
You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.
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