Knowing Our Numbers



Writing the number names and expanded form using placement box

Example Question (1) Try reading the following numbers. Write their number names and expanded form using placement box

(a) 279453

Answer

Number after using commas = 2,79,453

Implementing the placement box.

placement box for 279453 knowing our numbers

Number Name: Two lakh seventy nine thousand four hundred fifty three

Expanded Form:

2 × 1,00,000 + 7 × 10,000 + 9 × 1,000 + 4 × 100 + 5 × 10 + 3

(b) 5035472

Answer

Number after implementing the commas: 50,35,472

Implementing the placement box.

placement box for the number 5035472 knowing our numbers

Number Name: Fifty lakh thirty five thousand four hundred seventy two

Expanded form:

5 × 10,00,000 + 3 × 10,000 + 5 × 1,000 + 4 × 100 + 7 × 10 + 2

(c) 152700375

Answer

Number after implementing the commas: 15,27,00,375

Implementing the placement box.

placement box for the number 152700375 knowing our numbers

Number Name: Fifteen crore twenty seven lakh three hundred seventy five

Expanded form:

1 × 10,00,00,000 + 5 × 1,00,00,000 + 2 × 10,00,000 + 7 × 1,00,000 + 3 × 100 + 7 × 10 + 5

(d) 40350894

Answer

Number after implementing the commas: 4,03,50,894

Implementing the placement box.

placement box for the number 40350894 knowing our numbers

Number Name: Four crore three lakh fifty thousand eight hundred ninety four

Expanded form:

4 × 1,00,00,000 + 3 × 1,00,000 + 5 × 10,000 + 8 × 100 + 9 × 10 + 4

Try These (1) Solution

Question (1) Read these numbers. Write them using placement boxes and then write their expanded forms.

(i) 475320

Answer

Number after implementation of commas: 4,75,320

Implementation of placement box

placement box for the number 475320 knowing our numbers

Number Name: Four lakh seventy five thousand three hundred twenty

Expanded Form:

4 × 1,00,000 + 7 × 10,000 + 5 × 1000 + 3 × 100 + 2 × 10 + 0

(ii) 9847215

Answer

Number after implementation of commas: 98,47,215

Implementation of placement box

placement box for the number 9847215 knowing our numbers

Number Name: Ninety eight lakh forty seven thousand two hundred fifteen

Expanded Form:

9 × 10,00,000 + 8 × 1,00,000 + 4 × 10,000 + 7 × 1000 +2 × 100 + 1 × 10 + 5

(iii) 97645310

Answer

Number after implementation of commas: 9,76,45,310

Implementation of placement box

placement box for the number 97645310 knowing our numbers

Number Name: Nine crore seventy six lakh forty five thousand three hundred ten

Expanded Form:

9 × 1,00,00,000 + 7 × 10,00,000 + 6 × 1,00,000 + 4 × 10,000 + 5 × 1000 + 3 × 100 + 1 × 10 + 0

(iv) 30458094

Answer

Number after implementation of commas: 3,04,58,094

Implementation of placement box

placement box for the number 30458094 knowing our numbers

Number Name: Three crore four lakh fifty eight thousand ninety four

Expanded Form:

3 × 1,00,00,000 + 4 × 1,00,000 + 5 × 10,000 + 8 × 1000 + 9 × 10 + 4

(a) Which is the smallest number?

Answer 4,75,320 is the smallest number.

(b) Which is the greatest number?

Answer 9,76,45,310 is the greatest number.

(c) Arrange these numbers in ascending and descending orders.

Answer

Ascending Order of the given numbers:

475320 < 9847215 < 30458094 < 97645310

Descending Order of the given numbers:

97645310 > 30458094 > 9847215 > 475320

Question (2) Read these numbers

(i) 527864

Answer

Five lakh twenty seven thousand eight hundred sixty four

(ii) 95432

Answer

Ninety five thousand four hundred thirty two

(iii) 18950049

Answer

One crore eighty nine lakh fifty thousand forty nine

(iv) 7,00,02,509

Answer

Seven crore two thousand five hundred nine.

(a) Write these numbers using placement boxes and then using commas in Indian as well as International System of Numeration.

(i) 527864

Answer

Implementation of placement box

placement box for the number 527864 knowing our numbers

Indian System of Numeration

Number after using commas: 5,27,864

Number Name: Five lakh twenty seven thousand eight hundred sixty four

International System of Numeration

Number after using commas: 527,864

Number Name: Five hundred twenty seven thousand eight hundred sixty four

(ii) 95432

Answer

Implementation of placement box

placement box for the number 95432 knowing our numbers

Indian System of Numeration

Number after using commas: 95,432

Number Name: Ninety five thousand four hundred thirty two

International System of Numeration

Number after using commas: 95,432

Number Name: Ninety five thousand four hundred thirty two

(iii) 18950049

Answer

Implementation of placement box

placement box for the number 18950049 knowing our numbers

Indian System of Numeration

Number after using commas: 1,89,50,049

Number Name: One crore eighty nine lakh fifty thousand forty nine

International System of Numeration

Number after using commas: 18,950,049

Number Name: Eighteen million nine hundred fifty thousand forty nine

(iv) 70002509

Answer

Implementation of placement box

placement box for the number 70002509 knowing our numbers

Indian System of Numeration

Number after using commas: 7,00,02,509

Number Name: Seven crore two thousand five hundred nine.

International System of Numeration

Number after using commas: 70,002,509

Number Name: Seventy million two thousand five hundred nine

(b) Arrange these in ascending and descending order.

Answer

Ascending order of the given numbers:

95432 < 527864 < 18950049 < 70002509

Descending order of the given numbers:

70002509 > 18950049 > 527864 > 95432

Try These (2) Solution

Question (1) You have the following digits 4, 5, 6, 0, 7 and 8. Using them, make five numbers each with 6 digits.

(a) Put commas for easy reading.

(b) Arrange them in ascending and descending order.

Answer

Five numbers are

(i) 8,70,654

Number Name: Eight lakh seventy thousand six hundred fifty four

(ii) 8,07,654

Number Name: Eight lakh seven thousand six hundred fifty four

(iii) 8,07,564

Number Name: Eight lakh seven thousand five hundred sixty four

(iv) 8,07,645

Number Name: Eight lakh seven thousand six hundred forty five

(v) 8,40,765

Number Name: Eight lakh forty thousand seven hundred sixty five

Answer (b)

Ascending order of the numbers

8,07,564 > 8,07,645 > 8,07,654 > 8,40,765 > 8,70,654

Descending order of the numbers

8,70,654 > 8,40,765 > 8,07,654 > 8,07,645 > 8,07,564

Question (2) Take the digits 4, 5, 6, 7, 8 and 9. Make any three numbers each with 8 digits. Put commas for easy reading.

Answer

Three numbers are

(i) 9,98,87,654

Number Name: Nine crore ninety eight lakh eighty seven thousand six hundred fifty four.

(ii) 8,89,97,654

Number Name: Eight crore eighty nine lakh ninety seven thousand six hundred fifty four.

(iii) 4,99,88,765

Number Name: Four crore ninety nine lakh eighty eight thousand seven hundred sixty five.

Question (3) Form the digits 3, 0 and 4, make five numbers each with 6 digits. Use commas.

Answer

Five numbers each with 6 digits using given numbes 3, 0, and 4

(i) 4,40,033

Number Name: Four lakh forty thousand thirty three

(ii) 4,43,300

Number Name: Four lakh forty three thousand three hundred

(iii) 4,34,300

Number Name: Four lakh thirty four thousand three hundred

(iv) 3,44,300

Number Name: Three lakh forty four thousand three hundred

(v) 3,04,430

Number Name: Three lakh four thousand four hundred thirty