Astron. Math Flashcards

0
Q

1 light year ~ 9.46 x 10^12km=

A

9.46x 10^15m

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1
Q

1 AU = 1.496 x 10^8 km =

A

1 AU 1.496 X 10^11m

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2
Q

1 parsec (pc) ~3.09 x 10^13 km=

A

3.26 light years

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3
Q

Powers of 10 means how many times to

A

Multiply 10 by itself. 10^2 = 10x10=100

or a 1 with that number of zeros behind it.

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4
Q

A negative exponet tells how many places to the —— of the decimal point , including the 1 so10^-6 is 0.000001

A

Right

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5
Q

multiplying powers of 10 requires —–exponets

A

Adding . 10^4 x 10^5 =10^9

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6
Q

Dividing exponets of ten mean ——– exponents
10^5
10^3

A

subtracting

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7
Q

(10^4)^3 Power of Powers

A

10^12

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8
Q

square root of 10^4, =(10^4) 1/2=10^4(1/2)

A

10^2

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9
Q

There is NO shortcut for adding and subtracting powers of 10
Must be written long hand.
10^6 +10^2 = 1,000,000 + 100=1,000,100.00

A

True.

10^8 +10^-3+ 100,000,000. +.001=100,000,000.001

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10
Q

Format in which a number between 1 and 10 is multiplied by a power of 10 is

A

Scientific Notation. 6 X10^6 or 6,000,000.

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11
Q

Convert number to a scientific notation. a —- step process

A
  1. Move the decimal point to come after the first NON zero digit
    The number of places it moved tells you the power of ten, the power is POSITIVE it it moves to the left, and Negative if it moves to the right. 3042 3.042 x 10^3. We want as few digits in front of decimal as possible.
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12
Q

convert a number from scientific notation

The power of 10 indicates how many place to move the decimal point; move it to RT if power of 10 is positve. to left if Neg
If moving the decimal point creates any open places, fill them with zeros

A
  1. 01 x 10^2 =401 two to the right

5. 7 x 10^-3 = 5.7 x negative 1000=0.0057 moved three to the left

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