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Mastery of Scientific Notation in Algebra 1

Understand accuracy, precision, and scientific notation in Chapter 7, Section 2 of Algebra 1. Learn how to express large and small quantities using single-digit times integer power of 10. Practice examples and utilize calculators for calculations.

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Mastery of Scientific Notation in Algebra 1

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  1. Bell Work 3/23/15 Define the following: • Accuracy • Precision • Scientific Notation

  2. 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.

  3. 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

  4. An easy way to remember… ACcurate = Correct PRecision = Reproducibility

  5. Scientific Notation • Short hand for writing very large or small numbers • Two parts: Coefficient and Power of 10 Exponent: Large # = + exponent Small # = - exponent A number between 1 and 10 (can include 1 but not 10).

  6. 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? • The numbers are always multiplied by a power of 10 with an integer exponent. 2. The numbers are always written as decimals ≥ 1 & < 10.

  7. Scientific Notation Examples: Write the following numbers in scientific notation: • 41,000 • 0.0029 • 60,007,000 • 0.000 000 132 • 123,000,000 4.1x104 2.9x10-3 6.0007x107 1.32x10-7 1.23x108

  8. Putting a number into scientific notation in the calculator: • Punch the number (digit number) into your calculator. • Push the EE or EXP button. • DO NOT use the x (times) button!!! • Enter the exponent number. • Use the +/- button to change its sign. • Treat this number normally in all subsequent calculations.

  9. 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 (7x106) x (8x105) 2.59x108 5.6x1012

  10. 7.2 Homework:Complete Notes Worksheet & Problems

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