Scientific Method and Scientific Notation Study Guide

The Scientific Method

  • Step 1: Make an OBSERVATION     * Look around the world around you and find patterns and weird phenomena.

  • Step 2: Ask a QUESTION     * How true is my observation in general?

  • Step 3: Form a HYPOTHESIS     * An educated guess that must be testable by experiments.

  • Step 4: Design an EXPERIMENT     * This is a test that you will use to see if your hypothesis accurately explains your observation.

  • Step 5: Analyze RESULTS     * Did your experiment support your hypothesis?

  • Step 6: Draw a CONCLUSION     * Do the results support or disprove your hypothesis?

  • Step 7: COMMUNICATE your results!     * Methods for communication include lab reports, scientific conferences, articles in journals and magazines, etc.

Variables and Experimental Design

  • Experiment: The test you use to see whether your hypothesis is correct or not is called an EXPERIMENT.

  • Independent Variable: The thing(s) that the person running the experiment changes between trials is called the INDEPENDENT VARIABLE.

  • Dependent Variable: The thing(s) that are different each trial because there was a difference in the independent variable is called the DEPENDENT VARIABLE.

  • Constants: The things in each trial of the experiment that never change are called the CONTROL VARIABLES, PARAMETERS, or CONSTANTS.

Types of Observations

  • Qualitative Observation: An observation made using your five senses is called a QUALITATIVE observation.

  • Quantitative Observation: An observation made using measurements, numbers and/or values is called a QUANTITATIVE observation.

  • Subjective Observation: An observation made based on opinions and perspective is SUBJECTIVE.

  • Objective Observation: An observation made based on verifiable fact without bias is OBJECTIVE.

Scientific Notation Principles

  • Positive Exponents:     * A positive exponent indicates you are dealing with a LARGER number.     * Increasing the exponent means you move the decimal TO THE RIGHT.     * The bigger and more positive the exponent, the larger the number.

  • Negative Exponents:     * A negative exponent indicates you are dealing with a SMALLER number.     * Decreasing the exponent means you move the decimal TO THE LEFT.     * The more negative the exponent, the smaller the number.

Converting to Scientific Notation

  • Example 1: 0.0000008740.000000874     * Move the decimal SEVEN spots to the RIGHT.     * Moving to the RIGHT means you will have a NEGATIVE exponent.     * Result: 8.74×10−78.74 \times 10^{-7}

  • Example 2: 127,823.6127,823.6     * Move the decimal FIVE spots to the LEFT.     * Moving to the LEFT means you will have a POSITIVE exponent.     * Result: 1.28×1051.28 \times 10^{5}

  • Example 3: 54,600,00054,600,000     * Move the decimal SEVEN spots to the LEFT.     * Moving to the LEFT means you will have a POSITIVE exponent.     * Result: 5.46×1075.46 \times 10^{7}

Converting from Scientific Notation

  • Example 1: 6.38×1056.38 \times 10^{5}     * Move the decimal FIVE spots to the RIGHT.     * Fill in zeroes once you move past the "8".     * Result: 638,000638,000

  • Example 2: 9.86×10−129.86 \times 10^{-12}     * Move the decimal TWELVE spots to the LEFT.     * Fill in zeroes once you move past the "9".     * Result: 0.000000000009860.00000000000986

  • Example 3: 4.23×1034.23 \times 10^{3}     * Move the decimal THREE spots to the RIGHT.     * Fill in zeroes once you move past the "3".     * Result: 4,2304,230