## 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.

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.

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.

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.

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

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

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

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

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

**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

**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

**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

**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