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40 x 40 = , 60 x 300 = , Square root of 102

Mathematics

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Here are the solutions to your problems:

  1. Calculate 40×4040 \times 40
  1. Multiply the non-zero digits.

    $$
    4 \times 4 = 16
    $$
    
  2. Add the total number of zeros from the original numbers to the result.

    There are two zeros (one from 40, one from 40). 1600 1600 The product is: 1600 \boxed{\text{1600}}

    1. Calculate 60×30060 \times 300
  3. Multiply the non-zero digits.

    $$
    6 \times 3 = 18
    $$
    
  4. Add the total number of zeros from the original numbers to the result.

    There are three zeros (one from 60, two from 300). 18000 18000 The product is: 18000 \boxed{\text{18000}}

    1. Calculate the square root of 102
  5. Represent the square root of 102.

    $$
    \sqrt{102}
    $$
    
  6. Calculate the approximate value.

    Since 102=10010^2 = 100 and 112=12111^2 = 121, the square root of 102 will be slightly greater than 10. 102≈10.0995 \sqrt{102} \approx 10.0995 The square root of 102 is approximately: 10.10 \boxed{\text{10.10}}

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