Scientific notation.

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Scientific Notation.

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Presentation transcript:

Scientific notation

Learning goals We are learning to measure distances in space. We are learning to write large and small numbers in scientific notation.

Vast distances Scientists have developed special units of measure

Astronomical unit (au) 1 AU = 150 million km average distance between Earth and Sun

Light year used for celestial objects outside our solar system the distance a beam of light can travel through space in one year one ly = 63 000 AU = 9 460 000 000 000 km

converting Use a scale to set up. Cross multiply and divide.

Convert the following numbers to Astronomical Units. 450 000 000 km 251 000 km 497 000 237 998 km 197 000 000 004 229 km 4.7 x 1012 km

Convert the following numbers to km. 5.2 A.U. 0.6 A.U. 23.7 A.U. 0.08 A.U. 128.1 A.U.

Scientific notation helps to make very large numbers shorter and easier to deal with based on powers written using the base number 10 321 000 000 000 results in 3.21 x 1011

recipe The speed of light is about 299 800 000 m/s. Write this in scientific notation. Step 1: Put a decimal point so you have a number that is between 1 and 10. Step 2: Delete the trailing zeros. Step 3: Multiply by base 10. Step 4: Count the number of places you moved the original decimal. This is the exponent on the base 10.

Try these The distance from the Sun to the nearest star is 40 000 000 000 000 km. The average distance from Earth to the Sun is 150 000 000 000 m. The distance from the Milky Way to the farthest galaxies: 13 000 000 000 ly. The total number of celestial objects in the solar system: 152 500. The mass of the Sun: 1 990 000 000 000 000 000 000 000 000 000 kg The age of the Earth: 4 550 000 000 years.

View of deep space taken by hubble space telescope

Please complete activity All These Worlds

Learning goals We are learning to measure distances in space. We are learning to write large and small numbers in scientific notation.