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Find the place value and face value of 5 in 9,851,086,083. Also, find the difference between them.

Mathematics

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Step-by-step solution

12 steps

12. a) The mobile number of Sunayana's father is 9851086083.

Part i· 2 steps

What is the place value of 5 in the number?

  1. Identify the position of the digit 5 in the number 9,851,086,083.

    The digit 5 is in the hundred millions place.

  2. Calculate the place value.

    Place value of 5=5×100,000,000=500,000,0005 = 5 \times 100,000,000 = 500,000,000.
    The place value of 5 is 500,000,000\boxed{500,000,000}.

Part ii

What is the face value of 5 in the number?

The face value of a digit is the digit itself.
The face value of 5 is 5\boxed{5}.

Part iii· 10 steps

Find the difference between the place value and face values of 5 in the number.

  1. Use the place value and face value found in (i) and (ii).

    Place value = 500,000,000
    Face value = 5

  2. Calculate the difference.

    500,000,000−5=499,999,995500,000,000 - 5 = 499,999,995

    The difference is 499,999,995\boxed{499,999,995}.

    12. b) Find the sum and difference between the place values of two sevens in the number 6784037525.

  3. Identify the place value of the first '7' (from the left) in 6,784,037,525.

    The first '7' is in the hundred millions place.
    Place value of first 7=7×100,000,000=700,000,0007 = 7 \times 100,000,000 = 700,000,000.

  4. Identify the place value of the second '7' in 6,784,037,525.

    The second '7' is in the thousands place.
    Place value of second 7=7×1,000=7,0007 = 7 \times 1,000 = 7,000.

  5. Calculate the sum of these place values.

    700,000,000+7,000=700,007,000700,000,000 + 7,000 = 700,007,000

    The sum is 700,007,000\boxed{700,007,000}.

  6. Calculate the difference between these place values.

    700,000,000−7,000=699,993,000700,000,000 - 7,000 = 699,993,000

    The difference is 699,993,000\boxed{699,993,000}.

    12. c) Find the sum and difference between the place values of nine in the numbers 49560327 and 1024968.

  7. Find the place value of '9' in the first number, 49,560,327.

    The '9' is in the millions place.
    Place value of '9' in 49,560,327=9×1,000,000=9,000,00049,560,327 = 9 \times 1,000,000 = 9,000,000.

  8. Find the place value of '9' in the second number, 1,024,968.

    The '9' is in the hundreds place.
    Place value of '9' in 1,024,968=9×100=9001,024,968 = 9 \times 100 = 900.

  9. Calculate the sum of these place values.

    9,000,000+900=9,000,9009,000,000 + 900 = 9,000,900

    The sum is 9,000,900\boxed{9,000,900}.

  10. Calculate the difference between these place values.

    9,000,000−900=8,999,1009,000,000 - 900 = 8,999,100

    The difference is 8,999,100\boxed{8,999,100}.

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