Algebra questions convert

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Algebra questions convert

  1. Convert from decimal notation to scientific notation. 

    a) 234 

    b) 0.000052 

    c) -220,000 

    d) -0.00000000000000182

  2. Convert from scientific to decimal notation. 

    a) 1.01 × 10 2

    b) 8.2 × 10 -6

    c) 3.456 × 10 10

    d) -1.2 × 10 -8

  3. Perform the multiplication and write the result in scientific notation. 

    a) (5 × 10 2)(7 × 10 5) 

    b) (1.2 × 10 -6)(3.5 × 10 14) 

    c) (-4.5 × 10 -7)(8.62 × 10 10) 

    d) (-7.2 × 10 -6)(0.00039)

  4. Perform the division and write the result in scientific notation. 

    a) (4 × 10 13) / (5 × 10 -4) 

    b) 0.000012 / (2.4 × 10 -8) 

    c) (-1.2 × 10 -6) / (1.5 × 10 -10) 

    d) 0.00000065 / 0.000013

  5. Evaluate and express in scientific notation. 

    a) (1.3 × 10 -6) 2

    b) (1.5 × 10 -8) 2(2.1 × 10 5) 

    c) [ (1.144 × 10 2)(6 × 10 7) ] / (2.2 × 10 4) 

    d) [ (0.00001)(2,500) ] / [ (0.0003)(150,000) ]

  6. Evaluate in scientific notation. 

    a) The diameter of an atom: 0.0000000000001 meter 

    b) diameter of earth = 12,756,000 meters 

    c) 1 billion: 1000,0000,000 

    d) 1 micron: 0.000001 meter 

    e) 1 trillion: 1000,000,000,000 

    f) Diameter of earth / diameter of atom 

    g) Speed of light: 300,000,000 m/sec 

    h) Distance travelled by light in one year.

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