Question 8

We will read large numbers using Indian and American place value systems.

Step 1 — Understanding Place Value Systems

In the Indian system, we group digits from the right. The first group has three digits. Other groups have two digits each. These groups are called periods. Periods are Ones, Thousands, Lakhs, Crores, Arbs. We place commas to separate these periods.

In the American system, we group digits from the right. All groups have three digits. These groups are also called periods. Periods are Ones, Thousands, Millions, Billions. We place commas to separate these periods.

Step 2 — Number (a) 4050678

Let us write 4050678 in the Indian system. We group digits from the right. $40,50,678$ The number name is Forty Lakh Fifty Thousand Six Hundred Seventy-eight.

Let us write 4050678 in the American system. We group digits from the right. $4,050,678$ The number name is Four Million Fifty Thousand Six Hundred Seventy-eight.

$\boxed{\text{Indian: Forty Lakh Fifty Thousand Six Hundred Seventy-eight}}$ $\boxed{\text{American: Four Million Fifty Thousand Six Hundred Seventy-eight}}$

Step 3 — Number (b) 48121620

Let us write 48121620 in the Indian system. We group digits from the right. $4,81,21,620$ The number name is Four Crore Eighty-one Lakh Twenty-one Thousand Six Hundred Twenty.

Let us write 48121620 in the American system. We group digits from the right. $48,121,620$ The number name is Forty-eight Million One Hundred Twenty-one Thousand Six Hundred Twenty.

$\boxed{\text{Indian: Four Crore Eighty-one Lakh Twenty-one Thousand Six Hundred Twenty}}$ $\boxed{\text{American: Forty-eight Million One Hundred Twenty-one Thousand Six Hundred Twenty}}$

Step 4 — Number (c) 20022002

Let us write 20022002 in the Indian system. We group digits from the right. $2,00,22,002$ The number name is Two Crore Twenty-two Thousand Two.

Let us write 20022002 in the American system. We group digits from the right. $20,022,002$ The number name is Twenty Million Twenty-two Thousand Two.

$\boxed{\text{Indian: Two Crore Twenty-two Thousand Two}}$ $\boxed{\text{American: Twenty Million Twenty-two Thousand Two}}$

Step 5 — Number (d) 246813579

Let us write 246813579 in the Indian system. We group digits from the right. $24,68,13,579$ The number name is Twenty-four Crore Sixty-eight Lakh Thirteen Thousand Five Hundred Seventy-nine.

Let us write 246813579 in the American system. We group digits from the right. $246,813,579$ The number name is Two Hundred Forty-six Million Eight Hundred Thirteen Thousand Five Hundred Seventy-nine.

$\boxed{\text{Indian: Twenty-four Crore Sixty-eight Lakh Thirteen Thousand Five Hundred Seventy-nine}}$ $\boxed{\text{American: Two Hundred Forty-six Million Eight Hundred Thirteen Thousand Five Hundred Seventy-nine}}$

Step 6 — Number (e) 345000543

Let us write 345000543 in the Indian system. We group digits from the right. $34,50,00,543$ The number name is Thirty-four Crore Fifty Lakh Five Hundred Forty-three.

Let us write 345000543 in the American system. We group digits from the right. $345,000,543$ The number name is Three Hundred Forty-five Million Five Hundred Forty-three.

$\boxed{\text{Indian: Thirty-four Crore Fifty Lakh Five Hundred Forty-three}}$ $\boxed{\text{American: Three Hundred Forty-five Million Five Hundred Forty-three}}$

Step 7 — Number (f) 1020304050

Let us write 1020304050 in the Indian system. We group digits from the right. $1,02,03,04,050$ The number name is One Arab Two Crore Three Lakh Four Thousand Fifty.

Let us write 1020304050 in the American system. We group digits from the right. $1,020,304,050$ The number name is One Billion Twenty Million Three Hundred Four Thousand Fifty.

$\boxed{\text{Indian: One Arab Two Crore Three Lakh Four Thousand Fifty}}$ $\boxed{\text{American: One Billion Twenty Million Three Hundred Four Thousand Fifty}}$

Answer

(a) Indian: Forty Lakh Fifty Thousand Six Hundred Seventy-eight (a) American: Four Million Fifty Thousand Six Hundred Seventy-eight (b) Indian: Four Crore Eighty-one Lakh Twenty-one Thousand Six Hundred Twenty (b) American: Forty-eight Million One Hundred Twenty-one Thousand Six Hundred Twenty (c) Indian: Two Crore Twenty-two Thousand Two (c) American: Twenty Million Twenty-two Thousand Two (d) Indian: Twenty-four Crore Sixty-eight Lakh Thirteen Thousand Five Hundred Seventy-nine (d) American: Two Hundred Forty-six Million Eight Hundred Thirteen Thousand Five Hundred Seventy-nine (e) Indian: Thirty-four Crore Fifty Lakh Five Hundred Forty-three (e) American: Three Hundred Forty-five Million Five Hundred Forty-three (f) Indian: One Arab Two Crore Three Lakh Four Thousand Fifty (f) American: One Billion Twenty Million Three Hundred Four Thousand Fifty