Estimate the following amounts. the number of bits on a computer hard disk (as of 2006) the number of cells in the human body the number of neuronal connections in the human brain Avogadro's number (the number of atoms in 12 grams of carbon-12) the number of molecules in a cup of tea
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Estimate the following amounts.
the number of bits on a computer hard disk (as of 2006)
the number of cells in the human body
the number of neuronal connections in the human brain Avogadro's number (the number of atoms in 12 grams of carbon-12)
the number of molecules in a cup of tea
age of the universe based on the current Big Bang model
the observable universe is how many light years across
the number of stars in the observable universe
Answers will be shown later in this lesson.
Do you know this number,
It's the speed of light !
Do you recognize this number,
0.000 000 000 753 kg?
This is the mass of a dust particle!
Scientists have developed a shorter method to express very large numbers. This method is calledscientific notation. Scientific notation is based on powers of the base number 10.
Scientists Using Scientific Notation While Studying Dinosaurs Video
Size of the Universe Demonstration of Scientific Notation
Power of Ten Video – Old but a Classic
(1)Write decimal one number in from the left so that the number is between 1 and 10.
(2)Write “x 10”
Where is the decimal “implied” if no decimal appears in a number? (example: 195)
Scientific Notation Interactive Practice
Use 4.75 (moved 6 decimal places)
Answer: 4.75 X 106
The original number was greater than 1 so the exponent is positive.
Use 7.89 (moved 4 decimal places)
answer: 7.89 x 10-4
The original number was less than 1 so the exponent is negative.
right for +.
left for -.
Given: 1.015 x 10-8
Answer:0.00000001015 (8 places to left)
Negative exponent move decimal to the left.
Given: 5.024 x 103
Answer: 5,024 (3 places to right)
Positive exponent move decimal to the right.
The Andromeda Galaxy (the closest one to our Milky Way galaxy) contains at least 200,000,000,000 stars.
On the other hand, the weight of an alpha particle, which is emitted in the radioactive decay of Plutonium-239, is0.000,000,000,000,000,000,000,000,006,645 kilograms.
There are around 8,360,000,000,000,000,000,000,000 molecules in a cup of tea!
The current Big Bang model of the Universe suggests that it is 13.7 billion years
or (4.3 × 1017 seconds) old.
The observable universe is 78 billion light years across (7.4 × 1026 meters), and contains about 5 × 1022 stars, organized into around 80 thousand million galaxies.
roughly 1.6 × 10-19 C (negative)
Between 1980 and 2011, hard disk sizes increased from 10 megabytes (1 × 107) to over 18 exabytes (1.8 x 1019 bytes).
Earth = 12.76 x 106 = 12,760,000 meters wide
Plant Cell = 12.76 x 10-6=0.00001276 m wide
On-line Practice Problems
Changing Numbers to Scientific Notation
Changing Numbers from Scientific Notation