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