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Convert the following numbers between Indian and International numbering systems: a) 4 million to lakhs, b) 20 million to crores, c) 30 billion to arabs

Mathematics

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5 parts
a

40 lakhs\text{40 lakhs}

b

2 crores\text{2 crores}

c

30 arabs\text{30 arabs}

d

50 millions\text{50 millions}

e

7 billions\text{7 billions}

Step-by-step solution

10 steps

To solve these problems, we need to know the conversion factors between the Indian and International numbering systems:

  • 1 lakh=100,0001 \text{ lakh} = 100,000
  • 1 crore=100 lakhs=10,000,0001 \text{ crore} = 100 \text{ lakhs} = 10,000,000
  • 1 arab=100 crores=1,000,000,0001 \text{ arab} = 100 \text{ crores} = 1,000,000,000
  • 1 million=1,000,0001 \text{ million} = 1,000,000
  • 1 billion=1,000,000,0001 \text{ billion} = 1,000,000,000

Part a· 2 steps

How many lakhs are there in 4 million?

  1. Convert 1 million to lakhs.

    1 million=1,000,0001 \text{ million} = 1,000,000 1 lakh=100,0001 \text{ lakh} = 100,000 Lakhs in 1 million=1,000,000100,000=10 lakhs\text{Lakhs in 1 million} = \frac{1,000,000}{100,000} = 10 \text{ lakhs}

  2. Calculate lakhs in 4 million.

    Lakhs in 4 million=4×10 lakhs=40 lakhs\text{Lakhs in 4 million} = 4 \times 10 \text{ lakhs} = 40 \text{ lakhs}

    The number of lakhs in 4 million is 40 lakhs\boxed{\text{40 lakhs}}.

Part b

2 crores\text{2 crores}

How many crores are there in 20 million?

  1. Convert 1 million to crores.

    1 million=1,000,0001 \text{ million} = 1,000,000 1 crore=10,000,0001 \text{ crore} = 10,000,000 Crores in 1 million=1,000,00010,000,000=110 crore=0.1 crore\text{Crores in 1 million} = \frac{1,000,000}{10,000,000} = \frac{1}{10} \text{ crore} = 0.1 \text{ crore}

  2. Calculate crores in 20 million.

    Crores in 20 million=20×0.1 crore=2 crores\text{Crores in 20 million} = 20 \times 0.1 \text{ crore} = 2 \text{ crores}

    The number of crores in 20 million is 2 crores\boxed{\text{2 crores}}.

Part c

30 arabs\text{30 arabs}

How many arabs are there in 30 billion?

  1. Convert 1 billion to arabs.

    1 billion=1,000,000,0001 \text{ billion} = 1,000,000,000 1 arab=1,000,000,0001 \text{ arab} = 1,000,000,000 Arabs in 1 billion=1,000,000,0001,000,000,000=1 arab\text{Arabs in 1 billion} = \frac{1,000,000,000}{1,000,000,000} = 1 \text{ arab}

  2. Calculate arabs in 30 billion.

    Arabs in 30 billion=30×1 arab=30 arabs\text{Arabs in 30 billion} = 30 \times 1 \text{ arab} = 30 \text{ arabs}

    The number of arabs in 30 billion is 30 arabs\boxed{\text{30 arabs}}.

Part d

50 millions\text{50 millions}

How many millions are there in 5 crore?

  1. Convert 1 crore to millions.

    1 crore=10,000,0001 \text{ crore} = 10,000,000 1 million=1,000,0001 \text{ million} = 1,000,000 Millions in 1 crore=10,000,0001,000,000=10 millions\text{Millions in 1 crore} = \frac{10,000,000}{1,000,000} = 10 \text{ millions}

  2. Calculate millions in 5 crore.

    Millions in 5 crore=5×10 millions=50 millions\text{Millions in 5 crore} = 5 \times 10 \text{ millions} = 50 \text{ millions}

    The number of millions in 5 crore is 50 millions\boxed{\text{50 millions}}.

Part e

7 billions\text{7 billions}

How many billions are there in 7 arab?

  1. Convert 1 arab to billions.

    1 arab=1,000,000,0001 \text{ arab} = 1,000,000,000 1 billion=1,000,000,0001 \text{ billion} = 1,000,000,000 Billions in 1 arab=1,000,000,0001,000,000,000=1 billion\text{Billions in 1 arab} = \frac{1,000,000,000}{1,000,000,000} = 1 \text{ billion}

  2. Calculate billions in 7 arab.

    Billions in 7 arab=7×1 billion=7 billions\text{Billions in 7 arab} = 7 \times 1 \text{ billion} = 7 \text{ billions}

    The number of billions in 7 arab is 7 billions\boxed{\text{7 billions}}.

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