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Write four such numbers in which the digit in the tens place is 5 and all the other digits are different

Mathematics

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Step-by-step solution

8 steps

Here are the solutions for the questions visible in the image.

Part 1

The instructions for the numbers (iii) 27,544, (iv) 35,453, and (v) 23,345 are not visible in the image, so this question cannot be solved.

Part 2· 5 steps

Fill in the missing numbers in the sequences.

  • Sequence 1: 29,992,_,_,29,99529,992, \_, \_, 29,995
  1. The numbers are increasing by 1.

    $$
    29,992, \boxed{29,993}, \boxed{29,994}, 29,995
    $$
    
    • Sequence 2: 29,900,_,_,29,90329,900, \_, \_, 29,903
  2. The numbers are increasing by 1.

    $$
    29,900, \boxed{29,901}, \boxed{29,902}, 29,903
    $$
    
    • Sequence 3: 56,764,56,765,_,56,767,56,76856,764, 56,765, \_, 56,767, 56,768
  3. The numbers are increasing by 1.

    $$
    56,764, 56,765, \boxed{56,766}, 56,767, 56,768
    $$
    
    • Sequence 4: 40,000,40,001,40,002,_,40,00440,000, 40,001, 40,002, \_, 40,004
  4. The numbers are increasing by 1.

    $$
    40,000, 40,001, 40,002, \boxed{40,003}, 40,004
    $$
    
    • Sequence 5: 30,009,30,008,_,30,006,30,00530,009, 30,008, \_, 30,006, 30,005
  5. The numbers are decreasing by 1.

    $$
    30,009, 30,008, \boxed{30,007}, 30,006, 30,005
    $$
    

Part 3· 3 steps

Write numbers as directed.

  • a) Write four numbers greater than 9504.
  1. Choose four numbers that are larger than 9504.

    $$
    \boxed{9505, 9506, 9507, 9508}
    $$
    
    • b) Write four such numbers in which the digit in the tens place is 5 and all the other digits are different.
  2. Construct four numbers where the tens digit is 5 and all digits are unique.

    $$
    \boxed{1250, 3451, 6752, 8953}
    $$
    
    • c) Write four numbers with 6 on hundreds place and number greater than 2500.
  3. Construct four numbers where the hundreds digit is 6 and the number is greater than 2500.

    $$
    \boxed{2600, 3610, 4620, 5630}
    $$
    
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