Posted on : 05-09-2018 Posted by : Admin

**Can you instantly find the greatest and the smallest numbers in each row?**

(1) 382, 4972, 18, 59785, 750

**Answer:** 59,785 is the greatest and 18 is the smallest.

(2) 1473, 89423, 100, 5000, 310

**Answer:** 89,423 is the greatest and 100 is the smallest.

(3) 1834, 75284, 111, 2333, 450

**Answer:** 75,284 is the greatest and 111 is the smallest.

(4) 2853, 7691, 9999, 12002, 124

**Answer:** 9,999 is the greatest and 124 is the smallest.

**Find the greatest and the smallest numbers.**

(a) 4536, 4892, 4370, 4452

**Answer:** 4,892 is the greatest and 4,370 is the smallest.

(b) 15623, 15073, 15189, 15800

**Answer:** 15,800 is the greatest and 15,073 is the smallest.

(c) 25286, 25245, 25270, 25210

**Answer:** 25,286 is the greatest and 25,210 is the smallest.

(d) 6895, 23787, 24569, 24659

**Answer:** 24,659 is the greatest and 6,895 is the smallest.

**(1) Use the given digits without repetition and make the greatest and smallest 4-digit numbers. (Hint: 0754 is a 3-digit number.)**

(a) 2, 8, 7, 4 (b) 9, 7, 4, 1 (c) 4, 7, 5, 0 (d) 1, 7, 6, 2 (e) 5, 4, 0, 3

**Answer:**

(a) Greatest number is 8,742; smallest number is 2,478

(b) Greatest number is 9,741; smallest number is 1,479

(c) Greatest number is 7,540; smallest number is 4,057

(d) Greatest number is 7,621; smallest number is 1,267

(e) Greatest number is 5,430; smallest number is 3,045

**(2) Now make the greatest and the smallest 4-digit numbers by using any one digit twice. (Hint: Think in each case which digit will you use twice.)**

(a) 3, 8, 7 (b) 9, 0, 5 (c) 0, 4, 9 (d) 8, 5, 1

**Answer:**

(a) Greatest number is 8,873; smallest number is 3,378

(b) Greatest number is 9,950; smallest number is 5,009

(c) Greatest number is 9,940; smallest number is 4,009

(d) Greatest number is 8,851; smallest number is 1,158

**(3) Make the greatest and the smallest 4-digit numbers using any four different digits with conditions as given.**

Digit 7 is always at ones place

**Answer:** Greatest number is 9,997; smallest number is 1,007

Digit 4 is always at tens place

**Answer: **Greatest number is 9,949; smallest number is 1,040

Digit 9 is always at hundreds place

**Answer: **Greatest number is 9,999; smallest number is 1,900

Digit 1 is always at thousands place

**Answer: **Greatest number is 1,999; smallest number is 1,000

**(4) Take two digits, say 2 and 3. **

Which is the greatest number?

**Answer:** The greatest number is 3,322.

Which is the smallest number?

**Answer: **The smallest number is 2,233.

Make 4-digit numbers using both the digits equal number of times. How many numbers can you make in all?

**Answer:** Six different numbers can be made as follows (3,322) (2,233) (3,232) (2,323) (2,332) (3,223)

**1. Arrange the following numbers in ascending order:**

(a) 847; 9754; 8320; 571 (b) 9801; 25751; 36501; 38802

**Answer: **

(a) Ascending order: 571< 847< 8320< 9754

(b) Ascending order: 9801< 25751< 36501< 38802

**2. Arrange the following numbers in descending order:**

(a) 5000; 7500; 85400; 7861 (b) 1971; 45321; 88715; 92547

**Answer:**

(a) Descending order: 85400> 7861> 7500> 5000

(b) Descending order: 92547> 88715> 45321> 1971

**Read and expand the numbers wherever there are blanks.**

**Also write five more 5-digit numbes, read and expand them.**

**Read and expand the numbers wherever there are blanks.**

**Answer the following:**

- What is 10 – 1 = 9
- What is 100 – 1 = 99
- What is 10,000 – 1 = 9,999
- What is 1,00,000 – 1 = 99,999
- What is 1,00,00,000 – 1 = 99,99,999

** 1. Give five examples where the number of things counted would be more than 6-digit number.**

**Answer: **

- Population census
- Money counting in a bank
- Number of tourists visiting a country in a year
- Number of votes casted in general election in a country
- Number of items/products manufactured in a company

**2. Starting from the greatest 6-digit number, write the previous five numbers in descending order.**

**Answer: **Greatest 6-digit number: 9,99,999

Previous five numbers in descending order:

- 9,99,998
- 9,99,997
- 9,99,996
- 9,99,995
- 9,99,994

**3. Starting from the smallest 8-digit number, write the next five numbers in ascending order and read them.**

**Answer: **Smallest 8-digit number: 1,00,00,000

Next five numbers in ascending order:

- 1,00,00,001
- 1,00,00,002
- 1,00,00,003
- 1,00,00,004
- 1,00,00,005

**1. Read the numbers. Write them using placement boxes and then write their expanded forms.**

(i) 475320 (ii) 9847215 (iii) 97645310 (iv) 30458094

(a) Which is the smallest number?

**Answer:** 475320 because it is the only six digit number and other are more than six digits.

(b) Which is the greatest number?

**Answer:** 97645310 because it is highest digit number with greatest place value of crore digit.

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

**Answer:**

Ascending order:

475320 < 9847215 < 30458094 < 97645310 i.e. smallest to greatest

Descending order:

97645310 > 30458094 > 9847215 > 475320 i.e. greatest to smallest

**2. Read these numbers**

(i) 527864 (ii) 95432 (iii) 18950049 (iv) 70002509

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

**Answer:**

Number names according to Indian System of Numeration

- 5,27,864: Five lakh twenty seven thousand eight hundred sixty four
- 95,432: Ninety five thousand four hundred thirty two
- 1,89,50,049: One crore eighty nine lakh fifty thousand forty nine
- 7,00,02,509: Seven crore two thousand five hundred nine

Number names according to International System of Numeration

- 527,864: Five hundred twenty seven thousand eight hundred sixty four
- 95,432: Ninety five thousand four hundred thirty two
- 18,950,049: Eighteen million nine hundred fifty thousand forty nine
- 70,002,509: Seventy million two thousand five hundred nine

(b) Arrange these in ascending and descending order.

**Answer:**

Ascending order: 527864 < 95432 < 18950049 < 70002509

Descending order: 70002509 > 18950049 > 95432 > 527864

**3. Take three more groups of large numbers and do the exercise given above.**

**Answer:**

Number names according to Indian System of Numeration

- 6,59,72,300: Six crore fifty nine lakh seventy two thousand three hundred
- 8,95,14,236: Eight crore ninety five lakh fourteen thousand two hundred thirty six
- 1,23,45,678: One crore twenty three lakh forty five thousand six hundred seventy eight

Number names according to International System of Numeration

- 65,972,300: Sixty five million nine hundred seventy two thousand three hundred
- 89,514,236: Eighty nine million five hundred fourteen thousand two hundred thirty six
- 12,345,678: Twelve million three hundred forty five thousand six hundred seventy eight

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

**Answer: **456780, 870456, 685047, 504786, 754806

(a) Put commas for easy reading.

**Answer:**

- 4, 56, 780
- 8, 70, 456
- 6, 85, 047
- 5, 04, 786
- 7, 54, 806

(b) Arrange them in ascending and descending order.

**Answer:**

Ascending order: 456780 < 504786 < 685047 < 754806 < 870456

Descending order: 870456 > 754806 > 685047 > 504786 > 456780

**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:**

- 4,97,56,789
- 9,48,79,456
- 6,86,85,947

**3. From the digits 3, 0 and 4, make five numbers each with 6 digits. Use commas.**

**Answer:**

- 4,40,033
- 4,03,403
- 3,40,430
- 3,30,044
- 3,04,433

**1. How many centimeters make a kilometer?**

**Answer:** 1 Kilometers = 1000 meters = 1, 00, 000 centimeters

**2. Name five large cities in India. Find their population. Also, find the distance in kilometers between each pair of these cities.**

**Answer:**

City | Population |
---|---|

Hyderabad | 6.81 million |

Kolkata | 4.49 million |

Mumbai | 18.41 million |

Ahmedabad | 5.57 million |

Delhi | 18.98 million |

- Hyderabad to Ahmedabad: 1220 km
- Kolkata to Delhi: 1504 km
- Ahmedabad to Mumbai: 530 km
- Mumbai to Kolkata: 1, 955 km
- Delhi to Hyderabad: 1, 577 km

**EXERCISE 1.1**

**1. Fill in the blanks:**

(a) 1 lakh = 10 ten thousand.

(b) 1 million = 10 hundred thousand.

(c) 1 crore = 10 ten lakh.

(d) 1 crore = 10 million.

(e) 1 million = 10 lakh.

**2. Place commas correctly and write the numerals:**

Seventy three lakh seventy five thousand three hundred seven

**Answer:** 73,75,307

Nine crore five lakh forty one

**Answer: **9,05,00,041

Seven crore fifty two lakh twenty one thousand three hundred two

**Answer: **7,52,21,302

Fifty eight million four hundred twenty three thousand two hundred two

**Answer: **58,423,202

Twenty three lakh thirty thousand ten

**Answer:** 23,33,010

**3. Insert commas suitably and write the names according to Indian System of Numeration:**

(a) 87595762 (b) 8546283 (c) 99900046 (d) 98432701

**Answer:**

8,75,95,762 – Eight crore seventy five lakh ninety five thousand seven hundred sixty two

85,46,283 – Eighty five lakh forty six thousand two hundred eighty three

9,99,00,046 – Nine crore ninety nine lakh forty six

9,84,32,701 – Nine crore eighty four lakh thirty two thousand seven hundred one

**4. Insert commas suitably and write the names according to International System of Numeration:**

(a) 78921092 (b) 7452283 (c) 99985102 (d) 48049831

**Answer:**

78,921,092 – Seventy eight million nine hundred twenty one thousand ninety two

7,452,283 – Seven million four hundred fifty two thousand two hundred eighty three

99,985,102 – Ninety nine million nine hundred eighty five thousand one hundred two

48,049,831 – Forty eight million forty nine thousand eight hundred thirty one

**1. How many milligrams make one kilogram?**

**Answer:** 1 Kilograms = 1000 grams = 1,00,000 centigrams = 10,00,000 milligrams

**2. A box contains 2,00,000 medicine tablets each weighing 20 mg. What is the total weight of all the tablets in the box in grams and in kilograms?**

**Answer: **Total weight of the tablets in the box,

2,00,000 × 20 mg = 4,000,000 mg

4,000,000 mg = 4,000 gm

4,000 gm = 4 kg

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