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Bell Work3/23/15 Define the following : – Accuracy – Precision – Scientific Notation
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Scientific Notation Algebra 1 Chapter 7 Section 2 Objective: Students will use numbers expressed in the form of a single digit times an integer power of 10 to estimate very large or very small quantities, and to express how much larger or smaller one is than the other.
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Accuracy: How close a measurement is to the true or accepted value – Ex: Weighing a 50g mass – 50.00g – accurate – 32.18g or 49.99 not accurate Precision: How close multiple measurements are to each other – Ex: Take the weight of a 50g mass – Accurate AND precise: 50.00g – Not accurate, precise: 32.18g
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An easy way to remember… ACcurate = Correct PRecision = Reproducibility
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Scientific Notation Short hand for writing very large or small numbers Two parts: Coefficient and Power of 10 A number between 1 and 10 (can include 1 but not 10). Exponent: Large # = + exponent Small # = - exponent
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Why do we use Scientific Notation? Scientific notation is used to express a number that is very large or very small. What is always true of a number written in scientific notation? 1.The numbers are always multiplied by a power of 10 with an integer exponent. 2. The numbers are always written as decimals ≥ 1 & < 10.
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Scientific Notation Examples: Write the following numbers in scientific notation: 1. 41,000 2. 0.0029 3. 60,007,000 4. 0.000 000 132 5. 123,000,000 4.1x10 4 2.9x10 -3 6.0007x10 7 1.32x10-7 1.23x10 8
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Putting a number into scientific notation in the calculator: 1.Punch the number (digit number) into your calculator. 2.Push the EE or EXP button. DO NOT use the x (times) button!!! 3.Enter the exponent number. Use the +/- button to change its sign. 4.Treat this number normally in all subsequent calculations.
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Calculator time!! Try plugging these into your calculator. Put all answers in scientific notation. *Instead of typing “x 10^,” use the “EE” or “EXP” button!* 37,000 x 7,000 0.0008 x 0.0009 (7x10 6 ) x (8x10 5 ) 2.59x10 8 5.6x10 12
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7.2 Homework: Complete Notes Worksheet & Problems
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