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SECTION B THEORY PARTS ANSWER FOUR QUESTIONS ONLY (1a) Add in base two 101011 and 110111 (5 marks) (1b)...

SECTION B THEORY PARTS
ANSWER FOUR QUESTIONS ONLY
(1a) Add in base two 101011 and 110111 (5 marks)
(1b) Convert 23 in base ten to a number in base two (5 marks)
(2a) Express the following numbers to 2 decimal places (i) 34.875 (ii) 0.003812 (iii) 2.7513 (iv) 82.13 (v) 0.4582 (5 marks)
(2b) Simplify {-5(-5) - 3(-6)} (5 marks)
(3a) Simplify the following (i) 3x⁴ - 8m - 6x + 8y - 3m - 7y (ii) 3j + 4s + 4j + 2s (6 marks)
(3b) Simplify 2(6 + 5) (4 marks)
(4a) Find the L.C.M of 8, 12, and 20 (5 marks)
(4b) Change the following mixed fraction to improper fraction (i) 2 3/5 (ii) 7 2/4 (4 marks)
(5) Simplify the following by removing bracket (a) 7(4r + 3) + 6(2r - 4) (5 marks)
(5a) Write out the place value of 5 in the following numbers (i) 4567 (ii) 3056 (iii) 1235 (iv) 5678 (4 marks)

Answer

  1. Add in base two 101011 and 110111:

    101011
    +110111
    -------
    1101010

  2. Convert 23 in base ten to a number in base two:

    23 in base ten is 10111 in base two.

  3. Express the following numbers to 2 decimal places:
    1. 34.875 = 34.88
    2. 0.003812 = 0.00
    3. 2.7513 = 2.75
    4. 82.13 = 82.13
    5. 0.4582 = 0.46
  4. Simplify {-5(-5) - 3(-6)}:

    25 + 18 = 43

  5. Simplify the following:
    1. 3x⁴ - 8m - 6x + 8y - 3m - 7y = 3x⁴ - 6x - 11m + y
    2. 3j + 4s + 4j + 2s = 7j + 6s
  6. Simplify 2(6 + 5):

    2 * 11 = 22

  7. Find the L.C.M of 8, 12, and 20:

    The L.C.M is 120.

  8. Change the following mixed fraction to improper fraction:
    1. 2 3/5 = 13/5
    2. 7 2/4 = 30/4 = 15/2
  9. Simplify the following by removing bracket:

    7(4r + 3) + 6(2r - 4) = 28r + 21 + 12r - 24 = 40r - 3

  10. Write out the place value of 5 in the following numbers:
    1. 4567: 500
    2. 3056: 50
    3. 1235: 5
    4. 5678: 5000

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