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Convert numbers between Indian and standard numbering systems and write numbers in Roman numerals.

Mathematics

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Here are the solutions for questions 3 and 4.

3. Fill in the blanks:

  1. Convert one million to lakh.

    We know that 1 million=10 lakh1 \text{ million} = 10 \text{ lakh}.

    One million=10 lakh\text{One million} = \boxed{10} \text{ lakh}
  2. Convert sixty lakh to million.

    Since 10 lakh=1 million10 \text{ lakh} = 1 \text{ million}, then 60 lakh=6010 million=6 million60 \text{ lakh} = \frac{60}{10} \text{ million} = 6 \text{ million}.

    Sixty lakh=6 million\text{Sixty lakh} = \boxed{6} \text{ million}
  3. Convert one lakh to thousand.

    We know that 1 lakh=100 thousand1 \text{ lakh} = 100 \text{ thousand}.

    One lakh=100 thousand\text{One lakh} = \boxed{100} \text{ thousand}
  4. Convert 5 hundred thousand to lakh.

    Since 100 thousand=1 lakh100 \text{ thousand} = 1 \text{ lakh}, then 500 thousand=500100 lakh=5 lakh500 \text{ thousand} = \frac{500}{100} \text{ lakh} = 5 \text{ lakh}.

    5 hundred thousand=5 lakh\text{5 hundred thousand} = \boxed{5} \text{ lakh}

    4. Write in Roman numerals:

  5. Write 49 in Roman numerals.

    49=40+949 = 40 + 9.
    40 is written as XL (50 - 10).
    9 is written as IX (10 - 1).
    So, 49=XLIX49 = \boxed{\text{XLIX}}.

  6. Write 100 in Roman numerals.

    The Roman numeral for 100 is C.
    So, 100=C100 = \boxed{\text{C}}.

  7. Write 90 in Roman numerals.

    90=100−1090 = 100 - 10.
    100 is C and 10 is X. When a smaller numeral is placed before a larger numeral, it is subtracted.
    So, 90=XC90 = \boxed{\text{XC}}.

  8. Write 59 in Roman numerals.

    59=50+959 = 50 + 9.
    50 is written as L.
    9 is written as IX.
    So, 59=LIX59 = \boxed{\text{LIX}}.

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