Chapter 1 NCERT Solutions for Class 6 Math **Knowing Our Numbers** assists students who want to achieve a high academic score on exams. Knowledge glow experts created these solutions to increase students’ confidence by supporting them in grasping the concepts taught in this chapter. **NCERT Solutions for Class 6** include ways for quickly and efficiently solving problems in the book. These materials are based on the Class 6 NCERT syllabus and take into account the types of questions found in the NCERT textbook.

Using **NCERT Solutions will help pupils comprehend the main topics quickly**. Furthermore, all of the **NCERT solutions** adhere to the most recent CBSE norms and marking schemes. To get started, download the answers to this chapter in PDF format from the URL provided below.

NCERT Solutions for Class 6 Chapter 1: Understanding Our Numbers

## Exercise 1.1 PAGE NO: 12

**1. Fill in the blanks:**

(a) 1 lakh = ………….. ten thousand.

(b) 1 million = ………… hundred thousand.

(c) 1 crore = ………… ten lakh.

(d) 1 crore = ………… million.

(e) 1 million = ………… lakh.

Solutions:

(a) 1 lakh = 10 ten thousand

= 1,00,000

(b) 1 million = 10 hundred thousand

= 10,00,000

(c) 1 crore = 10 ten lakh

= 1,00,00,000

(d) 1 crore = 10 million

= 1,00,00,000

(e) 1 million = 10 lakh

= 1,000,000

**2. Correctly place commas and write the numerals:**

(a) Seventy-three lakh seventy-five thousand three hundred seventy-seventy-seventy-seventy-s

(b) 9 crore 5 lakh 441 rupees.

(c) Seven crore fifty-two lakh twenty-one thousand three hundred two.

(d) 58 million four hundred twenty-three thousand two hundred two dollars.

(e) 23 lakh 30 thousand ten rupees.

**Solutions**:

(a) The numeral of seventy-three lakh seventy-five thousand three hundred seven is 73,75,307

(b) The numeral of nine crores five lakh forty-one is 9,05,00,041

(c) The numeral of seven crores fifty-two lakh twenty-one thousand three hundred two is 7,52,21,302

(d) The numeral of fifty-eight million four hundred twenty-three thousand two hundred two is 5,84,23,202

(e) The numeral of twenty-three lakh thirty thousand ten is 23,30,010

**Insert appropriate commas and write the names using the Indian System of Numeration:**

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

**Solutions:**

(a) 87595762 – Eight crore seventy five lakh ninety five thousand seven hundred sixty two

(b) 8546283 – Eighty five lakh forty six thousand two hundred eighty three

(c) 99900046 – Nine crore ninety nine lakh forty six

(d) 98432701 – Nine crore eighty four lakh thirty two thousand seven hundred one

**4. Use appropriate commas and write the names in accordance with the International System of Numeration:**

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

**Solutions:**

(a) 78921092 – Seventy eight million nine hundred twenty one thousand ninety two

(b) 7452283 – Seven million four hundred fifty-two thousand two hundred eighty three

(c) 99985102 – Ninety-nine million nine hundred eighty five thousand one hundred two

(d) 48049831 – Forty-eight million forty-nine thousand eight hundred thirty-one

## Exercise 1.2 PAGE NO: 16

**1. A four-day book display was conducted in a school. On the first, second, third, and final days, 1094, 1812, 2050, and 2751 tickets were sold at the counter. Determine the total number of tickets sold throughout all four days.**

**Solutions:**

**Number of tickets sold on 1st day = 1094**

**Number of tickets sold on 2nd day = 1812**

**Number of tickets sold on 3rd day = 2050**

Number of tickets sold on 4th day = 2751

**As a result, the total number of tickets sold throughout the four days is = 1094 + 1812 + 2050 + 2751 = 7707 tickets**

**2. Shekhar is a well-known cricketer. In test matches, he has scored 6980 runs. He wants to run 10,000 miles. How many more runs will he require?**

**Solutions:**

**Shekhar scored = 6980 runs**

**He want to complete = 10000 runs**

**Runs need to score more = 10000 – 6980 = 3020**

**Hence, he need 3020 more runs to score**

**3. In an election, the winning candidate received 5,77,500 votes, while his nearest challenger received 3,48,700 votes. What was the margin of victory for the successful candidate?**

**Solutions:**

**No. of votes secured by the successful candidate = 577500**

**No. of votes secured by his rival = 348700**

**Margin by which he won the election = 577500 – 348700 = 228800 votes**

**∴ The successful candidate won the election by 228800 votes**

**4. In the first week of June, Kirti bookstore sold books worth Rs 2,85,891 and books worth Rs 4,00,768 in the second week of the month. How much did the sale for the two weeks total cost? Which week’s sales were higher, and by how much?**

**Solutions:**

**Price of books sold in June first week = Rs 285891**

**Price of books sold in June second week = Rs 400768**

**No. of books sold in both weeks together = Rs 285891 + Rs 400768 = Rs 686659**

**The sale of books is the highest in the second week**

**Difference in the sale in both weeks = Rs 400768 – Rs 285891 = Rs 114877**

**∴ Sale in the second week was greater by Rs 114877 than in the first week.**

**5. Find the difference between the greatest and smallest 5-digit number that can be written just once using the numbers 6, 2, 7, 4, 3.**

**Solutions:**

**Digits given are 6, 2, 7, 4, 3**

**Greatest 5-digit number = 76432**

**Least 5-digit number = 23467**

**Difference between the two numbers = 76432 – 23467 = 52965**

**∴ The difference between the two numbers is 52965**

**6. On average, a machine produces 2,825 screws every day. How many screws did it manufacture in January 2006?**

**Solutions:**

**Number of screws manufactured in a day = 2825**

**Since January month has 31 days**

**Hence, number of screws manufactured in January = 31 × 2825 = 87575**

**Hence, machine produce 87575 screws in the month of January 2006**

**7. A trader had Rs 78,592 on her person. She made an order for 40 radio sets, each costing Rs 1200. How much money will she have left over after the purchase?**

**Solutions:**

**Total money the merchant had = Rs 78592**

**Number of radio sets she placed an order for purchasing = 40 radio sets**

**Cost of each radio set = Rs 1200**

**So, cost of 40 radio sets = Rs 1200 × 40 = Rs 48000**

**Money left with the merchant = Rs 78592 – Rs 48000 = Rs 30592**

**Hence, money left with the merchant after purchasing radio sets is Rs 30592**

**8. A pupil multiplied 7236 by 65 rather than by 56. How much did his answer outnumber the correct answer?**

**Solutions:**

**Difference between 65 and 56 i.e (65 – 56) = 9**

**The difference between the correct and incorrect answer = 7236 × 9 = 65124**

**Hence, by 65124, the answer was greater than the correct answer**

**9. 2 m 15 cm material is required to stitch a shirt. How many shirts can be sewed from 40 metres of fabric, and how much fabric remains?**

**Solutions:**

**Given**

**Total length of the cloth = 40 m**

**= 40 × 100 cm = 4000 cm**

**Cloth required to stitch one shirt = 2 m 15 cm**

**= 2 × 100 + 15 cm = 215 cm**

**Number of shirts that can be stitched out of 4000 cm = 4000 / 215 = 18 shirts**

**Hence 18 shirts can be stitched out of 40 m and 1m 30 cm of cloth is left out**

**10. Medicine is packaged in boxes measuring 4 kg 500g apiece. How many of these boxes can be carried into a van that can only carry 800 kg?**

**Solutions:**

**Weight of one box = 4 kg 500 g = 4 × 1000 + 500**

**= 4500 g**

**Maximum weight carried by the van = 800 kg = 800 × 1000**

**= 800000 g**

**Hence, number of boxes that can be loaded in the van = 800000 / 4500 = 177 boxes**

**11. The school is 1 kilometer 875 meters away from a student’s home. She walks in both directions every day. Determine her total distance traveled in six days.**

**Solutions:**

**Distance covered between school and house = 1 km 875 m = 1000 + 875 = 1875 m**

**Since, the student walk both ways.**

**Hence, distance travelled by the student in one day = 2 × 1875 = 3750 m**

**Distance travelled by the student in 6 days = 3750 m × 6 = 22500 m = 22 km 500 m**

**∴ Total distance covered by the student in six days is 22 km and 500 m**

**12. A vessel holds 4 litres of curd and 500 ml of water. How many glasses, each with a capacity of 25 ml, can it hold?**

**Solutions:**

**Quantity of curd in the vessel = 4 l 500 ml = 4 × 1000 + 500 = 4500 ml**

**Capacity of 1 glass = 25 ml**

**∴ Number of glasses that can be filled with curd = 4500 / 25 = 180 glasses**

**Hence, 180 glasses can be filled with curd.**

## Exercise 1.3 Page NO: 23

**1. Estimate each of the following using general rule:**

**(a) 730 + 998 (b) 796 – 314 (c) 12904 + 2888 (d) 28292 – 21496**

Make ten more addition, subtraction, and estimation of outcome examples.

**Solutions:**

**(a) 730 + 998**

Round off to hundreds

**730 rounds off to 700**

**998 rounds off to 1000**

**Hence, 730 + 998 = 700 + 1000 = 1700**

**(b) 796 – 314**

**Round off to hundreds**

**796 rounds off to 800**

**314 rounds off to 300**

**Hence, 796 – 314 = 800 – 300 = 500**

**(c) 12904 + 2888**

**Round off to thousands**

**12904 rounds off to 13000**

**2888 rounds off to 3000**

**Hence, 12904 + 2888 = 13000 + 3000 = 16000**

**(d) 28292 – 21496**

**Round off to thousands**

**28292 round off to 28000**

**21496 round off to 21000**

**Hence, 28292 – 21496 = 28000 – 21000 = 7000**

**Ten more such examples are**

- 330 + 280 = 300 + 300 = 600
- 3937 + 5990 = 4000 + 6000 = 10000
- 6392 – 3772 = 6000 – 4000 = 2000
- 5440 – 2972 = 5000 – 3000 = 2000
- 2175 + 1206 = 2000 + 1000 = 3000
- 1110 – 1292 = 1000 – 1000 = 0
- 910 + 575 = 900 + 600 = 1500
- 6400 – 4900 = 6000 – 5000 = 1000
- 3731 + 1300 = 4000 + 1000 = 5000
- 6485 – 4319 = 6000 – 4000 = 2000

**2. Give a rough estimate (rounding off to the closest hundreds) as well as a more precise estimate (rounding off to the nearest tens):**

**(a) 439 + 334 + 4317 (b) 108734 – 47599 (c) 8325 – 491 (d) 489348 – 48365**

Make four more such examples.

**Solutions:**

**(a) 439 + 334 + 4317**

**Rounding off to nearest hundreds**

**439 + 334 + 4317 = 400 + 300 + 4300**

**= 5000**

**Rounding off to nearest tens**

**439 + 334 + 4317 = 440 + 330 + 4320**

**= 5090**

**(b) 108734 – 47599**

**Rounding off to nearest hundreds**

**108734 – 47599 = 108700 – 47600**

**= 61100**

**Rounding off to nearest tens**

**108734 – 47599 = 108730 – 47600**

**= 61130**

**(c) 8325 – 491**

**Rounding off to nearest hundreds**

**8325 – 491 = 8300 – 500**

**= 7800**

**Rounding off to nearest tens**

**8325 – 491 = 8330 – 490**

**= 7840**

**(d) 489348 – 48365**

**Rounding off to nearest hundreds**

**489348 – 48365 = 489300 – 48400**

**= 440900**

**Rounding off to nearest tens**

**489348 – 48365 = 489350 – 48370**

**= 440980**

**Four more examples are as follows**

**(i) 4853 + 662**

**Rounding off to nearest hundreds**

**4853 + 662 = 4800 + 700**

**= 5500**

**Rounding off to nearest tens**

**4853 + 662 = 4850 + 660**

**= 5510**

**(ii) 775 – 390**

**Rounding off to nearest hundreds**

**775 – 390 = 800 – 400**

**= 400**

**Rounding off to nearest tens**

**775 – 390 = 780 – 400**

**= 380**

**(iii) 6375 – 2875**

**Rounding off to nearest hundreds**

**6375 – 2875 = 6400 – 2900**

**= 3500**

**Rounding off to nearest tens**

**6375 – 2875 = 6380 – 2880**

**= 3500**

**(iv) 8246 – 6312**

**Rounding off to nearest hundreds**

**8246 – 6312 = 8200 – 6300**

**= 1900**

**Rounding off to nearest tens**

**8246 – 6312 = 8240 – 6310**

**= 1930**

**3. Using the general rule, estimate the following products:**

**(a) 578 × 161**

**(b) 5281 × 3491**

**(c) 1291 × 592**

**(d) 9250 × 29**

**Make four additional instances like this.**

**Solutions:**

**(a) 578 × 161**

**Rounding off by general rule**

**578 and 161 rounded off to 600 and 200 respectively**

600× 200= 120000

**_____________**

**(b) 5281 × 3491**

**Rounding off by general rule**

**5281 and 3491 rounded off to 5000 and 3500 respectively**

**5000× 3500**=**17500000**

**_________**

**(c) 1291 × 592**

**Rounding off by general rule**

**1291 and 592 rounded off to 1300 and 600 respectively**

**1300× 600**=**780000**

**______________**

**(d) 9250 × 29**

**Rounding off by general rule**

**9250 and 29 rounded off to 9000 and 30 respectively**

**9000× 30**=**70000**

**______________**

**Disclaimer:**

**Topics Removed –** 1.3.1 Estimation, 1.3.2 Rounding off estimates to the nearest tens, 1.3.3 Rounding off estimates to the nearest hundreds, 1.3.4 Rounding off estimates to the nearest thousands, 1.3.5 Predicting the outcomes of number circumstances 1.3.6 To calculate the sum or difference, 1.3.7 In order to estimate products, 1.4 When Using Brackets, 1.5 Roman Numerals, 1.4.1 Expanding brackets

## Frequently Asked Questions on NCERT Solutions for Class 6 Maths Chapter 1

### What topics are addressed in Chapter 1 of the NCERT Solutions for Class 6 Maths?

These topics are covered in Chapter 1 of NCERT Solutions for Class 6 Maths are:

1. Introduction to numbers

**2. Comparing numbers**

3. Ascending order and Descending order

4. How many numbers can be formed using a certain number of digits?

**5. Shifting digits**

**6. Place value**

**7. Larger Numbers and Estimates**

**8. Estimating sum or difference**

**9. Estimating products of numbers**

**10. BODMAS**

11. Using Brackets

### How many problems are there in each NCERT Solutions for Class 6 Maths Chapter 1 exercise?

**Regular repetition of the exercise-based issues allows students to better understand the concepts covered. The number of questions in each Chapter 1 practise is as follows:**

**Exercise 1.1 – 4 questions**

**Exercise 1.2 – 12 questions**

**Exercise 1.3 – 3 questions**

### What is the message of Chapter 1 of NCERT Solutions for Class 6 Maths?

A number is a mathematical value that is used to count and measure various objects. We can all add, subtract, divide, and multiply with the help of numbers. Here we will learn how to compare numbers, extend numbers, and discover the largest and smallest numbers. Roman numerals and the Hindu-Arabic numeral system are the two main forms of number system used for writing numbers in numerous areas. We can all see roman numerals in clocks, page numbers, school timetables on syllabus pages, and so on.