Introduction to Scientific Notation
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Questions and Answers

What is the scientific notation for the population of the world, which is around 7 billion?

  • 7.0 x 10^8
  • 7.0 x 10^10
  • 7.0 x 10^7
  • 7.0 x 10^9 (correct)

    • What is the approximate speed of light represented in scientific notation?

    1.08 x 10^9

    What is the distance from the Earth to the sun in scientific notation?

    9.3 x 10^7

    What is the scientific notation for the amount of water surface area on Earth?

    <p>1.4 x 10^8</p> Signup and view all the answers

    How do you represent the approximate number of cells in the human body in scientific notation?

    <p>1.0 x 10^14</p> Signup and view all the answers

    What is the mass of an electron in scientific notation?

    <p>9.1093822 x 10^-31</p> Signup and view all the answers

    What is the standard notation for the scientific notation 6.0 x 10^2?

    <p>600</p> Signup and view all the answers

    Convert the standard notation 8765.234 to scientific notation.

    <p>8.765234 x 10^3</p> Signup and view all the answers

    What does 3,500,000 become in scientific notation?

    <p>3.5 x 10^6</p> Signup and view all the answers

    Which site had the most water in 2014?

    <p>WVDP</p> Signup and view all the answers

    What is scientific notation?

    <p>A method used to shorten numbers in standard notation, expressed as a coefficient multiplied by a power of ten.</p> Signup and view all the answers

    What is the scientific notation for the population of the world, which is around 7 billion?

    <p>7.0 x 10^9</p> Signup and view all the answers

    How is the approximate speed of light, 1,080,000,000 km per hour, expressed in scientific notation?

    <p>1.08 x 10^9</p> Signup and view all the answers

    How do you express the distance from the Earth to the sun, which is 93 million miles, in scientific notation?

    <p>9.3 x 10^7</p> Signup and view all the answers

    What is the scientific notation for 140 million square miles of water surface area on Earth?

    <p>1.4 x 10^8</p> Signup and view all the answers

    How is the approximate number of cells in the human body, which is about 100 trillion, written in scientific notation?

    <p>1.0 x 10^14</p> Signup and view all the answers

    Which site had the most water in 2014?

    <p>WVDP</p> Signup and view all the answers

    What is the mass of an electron expressed in scientific notation?

    <p>9.1093822 x 10^-31</p> Signup and view all the answers

    What was the total volume of water stored in 2013?

    <p>3.98 x 10^3 m³</p> Signup and view all the answers

    The base in scientific notation is always ______.

    <p>10</p> Signup and view all the answers

    The coefficient in scientific notation represents the ______.

    <p>number before the power of ten</p> Signup and view all the answers

    The scientific notation for 600 is 6.0 x 10^2.

    <p>True</p> Signup and view all the answers

    Study Notes

    Class Agenda

    • Attendance is scheduled for 5 minutes.
    • Kahoot! game will review the previous class for 20 minutes.
    • A competition will focus on root words for 20 minutes.
    • A short break will last for 5 minutes.
    • Math terms will be practiced for 20 minutes.
    • Introduction to inequalities and set notation will take 10 minutes.

    Scientific Notation

    • Scientific notation shortens large numbers for convenience.
    • Example: 3,500,000 is expressed as 3.5 x 10^6.
    • Spoken form: "Three point five times ten raised to the sixth power."
    • Coefficient, base, and exponent are key components in scientific notation.
    • Default base in scientific notation is base 10.

    Real Life Examples of Scientific Notation

    • World population: 7 billion as 7.0 x 10^9.
    • Speed of light: 1,080,000,000 km/h as 1.08 x 10^9.
    • Distance from Earth to the sun: 93 million miles as 9.3 x 10^7.
    • Water surface area on Earth: 140 million square miles as 1.4 x 10^8.
    • Approximate human body cells: 100 trillion as 1.0 x 10^14.
    • Mass of an electron: 0.000000000000000000000000000000910 kg as 9.1093822 x 10^-31.

    Historical Water Volume Data

    • Data from the Department of Energy on water stored by site (2011-2015).
    • Hanford site had various volumes recorded in 1,000 m^3.
    • Maximum recorded total volume was in 2014 at 4.03 x 10^3 m^3.
    • Each year sees slightly varying volumes across different sites.

    Conversion Between Notations

    • Understanding conversion from scientific notation to standard notation is essential.
    • Example: 6.0 x 10^2 converts to standard notation as 600.
    • Practice involves converting various forms of numbers to familiarize with both notations.

    Class Agenda

    • Attendance is scheduled for 5 minutes.
    • Kahoot! game will review the previous class for 20 minutes.
    • A competition will focus on root words for 20 minutes.
    • A short break will last for 5 minutes.
    • Math terms will be practiced for 20 minutes.
    • Introduction to inequalities and set notation will take 10 minutes.

    Scientific Notation

    • Scientific notation shortens large numbers for convenience.
    • Example: 3,500,000 is expressed as 3.5 x 10^6.
    • Spoken form: "Three point five times ten raised to the sixth power."
    • Coefficient, base, and exponent are key components in scientific notation.
    • Default base in scientific notation is base 10.

    Real Life Examples of Scientific Notation

    • World population: 7 billion as 7.0 x 10^9.
    • Speed of light: 1,080,000,000 km/h as 1.08 x 10^9.
    • Distance from Earth to the sun: 93 million miles as 9.3 x 10^7.
    • Water surface area on Earth: 140 million square miles as 1.4 x 10^8.
    • Approximate human body cells: 100 trillion as 1.0 x 10^14.
    • Mass of an electron: 0.000000000000000000000000000000910 kg as 9.1093822 x 10^-31.

    Historical Water Volume Data

    • Data from the Department of Energy on water stored by site (2011-2015).
    • Hanford site had various volumes recorded in 1,000 m^3.
    • Maximum recorded total volume was in 2014 at 4.03 x 10^3 m^3.
    • Each year sees slightly varying volumes across different sites.

    Conversion Between Notations

    • Understanding conversion from scientific notation to standard notation is essential.
    • Example: 6.0 x 10^2 converts to standard notation as 600.
    • Practice involves converting various forms of numbers to familiarize with both notations.

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    Description

    This quiz covers the basics of scientific notation, including its purpose and key components such as coefficients, bases, and exponents. Additionally, it provides real-life examples to illustrate how large numbers can be simplified for convenience. Test your understanding of this essential mathematical concept.

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