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(Barré) #1

  1. Express into scientific form :
    (a) 6530 (b) 60 ˜ 831 (c) 0 ˜ 000245 (d) 37500000
    (e) 0 ˜ 00000014

  2. Express in the form of ordinary decimals :


(a) 105 (b) 10 ^5 (c) 2 ˜ 53 u 104 (d) 9 ˜ 813 u 10 ^3
(e) 3 ˜ 12 u 10 ^5


  1. Find the characteristic of common logarithm of the following numbers (without
    using calculator) :
    (a) 4820 (b) 72 ˜ 245 (c) 1 ˜ 734 (d) 0 ˜ 045
    (e) 0 ˜ 000036

  2. Find the characteristic and mantissa of the common logarithm of the following
    numbers by using calculator :
    (a) 27 (b) 63 ˜ 147 (c) 1 ˜ 405 (d) 0 ˜ 0456
    (e) 0 ˜ 000673

  3. Find the common logarithm of the product/quotient (approximate value upto
    five decimal places) :
    (a) 5 ˜ 34 u 8 ˜ 7 (b) 0 ˜ 79 u 0 ˜ 56 (c) 22 ˜ 2642 y 3 ˜ 42
    (d) 0 ˜ 19926 y 32 ˜ 4

  4. If log 2 0 ˜ 30103 ,log 3 0 ˜ 47712 and log 7 0 ˜ 84510 , find the value of the
    following expressions :
    (a)log 9 (b) log 28 (c) log 42

  5. Given, x 1000 andy 0 ˜ 0625


a. Expressx in the form anbn, where a and bare prime numbers.
b. Express the product of x and y in scientific form.
c. Find the characteristic and mantissa of the common logarithm of xy.
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