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Calculate the value of 2003 multiplied by 2004 minus 2001 multiplied by 2002.

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Subject
Simplification and Approximationmathematics-mcqs › simplification-and-approximation
Published
24 Jul 2019
Last updated
28 May 2026

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Explanation

Express the terms as (2000 + 3)(2000 + 4) - (2000 + 1)(2000 + 2). Expanding both: (2000*2000 + 2000*4 + 3*2000 + 3*4) - (2000*2000 + 2000*2 + 1*2000 + 1*2). The 2000*2000 terms cancel out, leaving (8000 + 6000 + 12) - (4000 + 2000 + 2) = 14012 - 6002 = 8010.

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  1. 1.Calculate the value of 6 multiplied by (5/8 divided by 5/8) minus 1/8.
  2. 2.Calculate the value of the expression: (22 × 495 + 891 × 44) divided by (33 × 176 + 55 × 264). What is the result?
  3. 3.Calculate the value of the expression: [(62.25 ÷ 2.5) + (12.5 ÷ 0.5)] divided by [(0.75 × 9) + (3.5 × 3.5)] = ?
  4. 4.Calculate the value of the expression: [(523 + 27) × (187 − 35) ÷ (424 + 16)] divided by [ (110 ÷ 22) multiplied by (2 × 38) ]. What is the result?
  5. 5.Find the value of '?' if (50 - ?/29)% of 4200 equals 3 times the square root of 196.
  6. 6.Calculate the value of: 7 + 5 minus (3/2 multiplied by 1/4) of 2/7 plus (7/2 times 1/6). What is the result?
  7. 7.Find the value of '?' in the equation: 0.003 × ? × 0.0003 = 0.00000027.
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