Saturday, May 16, 2020

Math Worksheet For class 6th chapter 1

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Worksheet class 6th chapter 1


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Date--------------

 

(1) Use The given without repetition and make the greatest and smallest 4-digit numbers.

(a)4,6,2,8           (b) 6,8,2,3

(c)9,7,3,5           (d)2,7,6,4

 

(2) Make the greatest and the smallest 4-digit number using any four different digit with condition as given.

(a) Digit 7 is always at ones place

(b) Digit 8 is always at ones place

(c) Digit 3 is always at ones place

(d) Digit 4 is always at ones place

 

(3)Arrange the following numbers in ascending order:-

(a)51,456,78,891,42

(b) 9801,7586,9875,63,654

 

(4) make ten example of ascending/descending order and solve them.

 

(5) Write down greatest 5-digit ,6-digit and 9-digit number?

 

(6) Write down smallest 3-digit ,8-digit and 10-digit number?

 

(7) Insert commas suitably and write the names according to Indian System of Numeration.

(a)78921121    (b)85471525  (c) 45852323

 

(8) Insert commas suitably and write the names according to International System of Numeration.

(a)45872683     (b)56565654   (c)415655467

 

(9) In one state, the number of bicycles sold in the year 2009- 2010 was 8,78,900. In the year 2010-2011 the number of bicycles sold was 9,45,850. In which year were more bicycles  sold? And how many more?

 

(10) Riya had Rs 95,456 with her. She placed an order for purchasing speakers at Rs. 7,800 each. How much money will remain with her after the purchase?

 

(11) The distance between the house and the park of  a Ramesh’ s house is 2km787m. Everyday he walk both ways. Find the total distance covered by her in 7 days.

(12) Estimate

(a)8,724+7,458  (b)7,964-5,745

 

(13)Estimate the following products using general rule:-

(a)782*523   (b) 1475*1345  (c) 7882*78

 

(14)Write in Roman Numerals

30,80,5,50,20,6,70

 

(15)Write in Numerals Form:

I,IV,VII,LXX,XXX,IX

 

Marks:-------------                  

Teacher’s signature---------  



Thursday, May 14, 2020

class 6th Chapter 1 Exercise 1.3

Chapter 1   

EXERCISE 1.3



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

(a) 730 + 998 

(b) 796 – 314 

(c) 12904 + 2888 

(d) 28292 – 21496

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

Answer:-


(a) 730 + 998

Round off to hundreds

730 is rounds off to 700

998 is rounds off to 1000

Hence, 730 + 998 = 700 + 1000 = 1700


(b) 796 – 314

Round off to hundreds

796 is rounds off to 800

314 is rounds off to 300

Hence, 796 – 314 = 800 – 300 = 500


(c) 12904 + 2888

Round off to thousands

12904 is rounds off to 13000

2888 is rounds off to 3000

Hence, 12904 + 2888 = 13000 + 3000 = 16000


(d) 28292 – 21496

Round off to thousands

28292 is round off to 28000

21496 is round off to 21000

Hence, 28292 – 21496 = 28000 – 21000 = 7000


SOLVE IT :-Ten more such examples are

(i) 420 + 380 

= 400 + 400 = ?

(ii) 3837 + 4980 

= 4000 + 5000 = ?

(iii) 5387 – 2772 

= 5000 – 3000 = ?

(iv) 3820 – 2360 

= 4000 – 2000 = ?

(v) 1375 + 1806 

= 1000 + 2000 = ?

(vi) 1985 – 1750 

= 2000 – 2000 = ?

(vii) 1910 + 4975 

= 2000 + 5000 = ?

(viii) 6382 + 6800 

= 6000 + 7000 =? 

(ix) 2952 -860 

= 2000 - 900=?

(x) 536 – 437 

= 500 – 400 = ?


Question 2. Give a rough estimate (by rounding off to nearest hundreds) and also a closer estimate (by rounding off to nearest tens):

(a) 439 + 334 + 4317 

(b) 1,08,734 – 47,599 

(c) 8325 – 491 

(d) 4,89,348 – 48,365

Make four more such examples.

Answer:-

(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) 1,08,734 – 47,599

Rounding off to nearest hundreds

1,08,734 – 47,599 = 1,08,700 – 47,600=61,100

Rounding off to nearest tens

1,08,734 – 47,599 = 1,08,730 – 47,600=61,130 


(c) 8325 – 491

Rounding off to nearest hundreds

8325 – 491 = 8300 – 500=7800 

Rounding off to nearest tens

8325 – 491 = 8330 – 490=7840


(d) 4,89,348 – 48,365

Rounding off to nearest hundreds

4,89,348 – 48,365 = 4,89,300 – 48,400 =4,40,900

Rounding off to nearest tens

4,89,348 – 48,365 = 4,89,350 – 48,370=4,40,980


Four more examples are as follows

(i) 5725+654

(ii) 8927-7820

(iii) 5732+7865

(iv) 7852-5826


Question 3. Estimate the following products using general rule:

(a) 578 * 161

(b) 5281 * 3491

(c) 1291 * 592

(d) 9250 * 29

Make four more such examples.

Answer:-

(a) 578 * 161

Rounding off by general rule

598 and 161 rounded off to 600 and 200 respectively

600 *200=1,20,000


(b) 5281*3491

Rounding off by general rule

5281 and 3491 rounded off to 5000 and 3500 respectively

5000*3500=17,500,000


(c) 1291 * 592

Rounding off by general rule

1291 and 592 rounded off to 1300 and 600 respectively

1300*600=7,800,000


(d) 9250 * 29

Rounding off by general rule

9250 and 29 rounded off to 9000 and 30 respectively

9000*30=2,70,000

Tuesday, May 12, 2020

class Chapter 1 Exercise 1.2

Chapter 1
 
In earlier classes, we have learnt that we use centimetre(cm) as a unit of length.For measuring the length of a pencil, the width of a book or notebooks etc., we use centimetres

For measuring the thickness of a pencil,however,we find centimetre too big. we use millimetre(mm) to show the thickness of  pencil.

10 millimetres=1 centimetres

1 meters = 100 centimetres

100 centimetre= 1000 millimetres

1 kilometres=1000 metres

1 km=1000 m

1000 m=1000*1000=10,00,000 millimetres

1 gram=1000 milligrams

1 liter= 1000 millilitres 


         Exercise 1.2
Question 1. A book exhibition was held for four days in a school. The number of tickets sold at the counter on the first,second,third and final day was respectively 1094, 1812,2050 and 2751. find the total number of tickets sold on  all the four days.

Answer:-

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

                                         Total      =  7707

Hence, number of tickets sold on all four days =7704 Ans.

Question 2. Shekhar is a famous player. he has so far scored 6980 runs in test matches. he wishes to complete 10,000 runs. how many more runs does he need?

Answer:-

Shekhar scored = 6980 runs                                                                          

He want to complete = 10000 runs                                                         

Runs need to score more by shekhar is (10000 – 6980 )= 3020                      

Hence, he need 3020 more runs to score

Question 3. In an election, the successful candidate registered 5,77,500 votes and his nearest rival secured 3,48,700 votes. By what margin did the successful candidate win the election?

Answer:-

Number of votes secured by the successful candidate = 577500                                   

Number. of votes secured by his rival = 348700                                                          

Margin = 577500 – 348700 = 228800                                                                          228800 ∴ Successful candidate won the election by 228800 votes

Question 4. Kirti bookstore sold books worth Rs 2,85,891 in the first week of June and books worth Rs 4,00,768 in the second week of the month. How much was the sale for the two weeks together? In which week was the sale greater and by how much?

Answer:-

Price of books sold in first week of June = Rs 2,85,891

Price of books sold second week of June = Rs 4,00,768

No. of books sold in both the weeks together = Rs 2,85,891 + Rs 4,00,768 = Rs 6,86,659

The sale of books is highest in the second week

Difference in the sale in both the weeks = Rs 4,00,768 – Rs 2,85,891 = Rs 1,148,77

∴ Sale in second week was greater by Rs 1,14,877 than in the first week.

Question 5. Find the difference between the greatest and the least 5-digit number that can be written using the digits 6, 2, 7, 4, 3 each only once.

Answer:-

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

Greatest 5-digit number = 76,432

Least 5-digit number = 23,467

Difference between the two numbers = 76,432 – 23,467 = 52,965

∴ The difference between the two numbers is 52,965

Question 6. A machine, on an average, manufactures 2,825 screws a day. How many screws did it produce in the month of January 2006?

Answer:-

Number of screws manufactured in a day = 2,825

Since January month has 31 days

Hence, number of screws manufactured in January = 31* 2,825 = 87,575

Hence, machine produce 87,575 screws in the month of January 2006

Question 7. A merchant had Rs 78,592 with her. She placed an order for purchasing 40 radio sets at Rs 1200 each. How much money will remain with her after the purchase?

Answer:-

Total money the merchant had = Rs 78,592

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

Cost of each radio set = Rs 1,200

So, cost of 40 radio sets = Rs 1,200 * 40 = Rs 48,000

Money left with the her = Rs 78,592 – Rs 48,000 = Rs 30,592

Hence, money left with the merchant after purchasing radio sets is Rs 30,592

Question 8. A student multiplied 7236 by 65 instead of multiplying by 56. By how much was his answer greater than the correct answer?(Hint:- Do you need to do both the multiplications?)

Answer:-

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

The difference between the correct and incorrect answer = 7,236 * 9 = 65,124

Hence, 65,124 the answer was greater than the correct answer

Question 9. To stitch a shirt, 2 m 15 cm cloth is needed. Out of 40 m cloth, how many shirts can be stitched and how much cloth will remain?

(Hint:- Convert data in cm.)

Answer:- (1 m= 100 cm)

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                                                                                                    (approximately 18.604 round off)

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

Question 10. Medicine is packed in boxes, each weighing 4 kg 500 g. How many such boxes can be loaded in a van which cannot carry beyond 800 kg?

Answer:- (1 kg= 1000 g)

Weight of one box = 4 kg 500 g = 4 * 1000 + 500                      [4 kg= 4*1000 g=4000 g]

= 4,500 g

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

= 800,000 g

Hence, number of boxes that can be loaded into the van = 800,000 / 4,500 = 177 boxes

Question 11. The distance between the school and a student’s house is 1 km 875 m. Everyday she walks both ways. Find the total distance covered by her in six days.

Answer:- (1 km =1000 m)

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

Since, the student walk both ways.

Hence, distance covered by the student in one day = 2 * 1,875 = 3,750 m

Distance covered by the student in 6 days = 3750 m * 6 = 22,500 m = 22 km 500 m

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

Question 12. A vessel has 4 litres and 500 ml of curd. In how many glasses, each of 25 ml capacity, can it be filled?

Answer:-

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

Capacity of 1 glass = 25 ml

So,Number of glasses that can be filled with curd = 4,500 / 25 = 180 glasses

Hence, 180 glasses can be filled with curd.

  

                THANK YOU

Monday, May 11, 2020

Knowing Our Number class 6th chapter 1 introduction

Knowing Our Number
                       
                           [Introduction] 



(A) Comparing Numbers 
(i) 92,392,4456,89742
89742─i am the greatest


(ii) 1902,1920,9201,9210

9210―i am the greatest


Find the greatest and smallest Numbers

(1)4536,4892,4370,4452
Ans:-greatest:- 4892
           Smallest:-4370

(2) 15632,15073,15189,15800

Ans:- greatest:- 15800
           Smallest:-15073

(3) 382,4972,18,750

Ans:- greatest:- 4972
           Smallest:-18


 (B) Large Numbers             Lower number                      

                  9            +  1=     10                           

one digit number                two digit number

                99             +1=      100                    

two digit number                 three digit number 

                 999          +1=      1,000               

three digit number               four digit Number 

                9,999        +1=      10,000     

four digit Number                five digit Number 

              99,999        +1=     1,00,000  

five digit number                 six digit Number 

           9,99,999       +1 =     1,000,000    

six digit number                  seven digit Number 

         9,999,999        +1=      1,00,00,000

seven digit Number             eight digit Number 


(C)Place values

2,75,395 is

2*1,00,000

7*10,000

5*1,000

3*100

9*10

5*1

2,75,395 =

2*1,00,000

+ 7*10,000

+ 5*1,000

+ 3*100

+ 9*10

+ 5*1

(D)Some Numbers We Use:-

FOR Weight/ Volume and Distance

Gram/Kg/Liter/ml and   Meter/Km/cm/mm

(E)Commas Indian System, International System

As per the Indian currency system:

·        1-Ones

·        10-Tens

·        100-Hundred

·        1000-Thousand

·        10,000-Ten thousand

·        1,00,000-One Lakh

·        10,00,000-Ten

·        1,00,00,000-One

·        10,00,00,000-Ten

As per the international currency system:

  • 1-Ones
  • 10-Tens
  • 100-Hundred
  • 1000-Thousand
  • 10,000-Ten thousand
  • 100,000-Hundred thousand
  • 1,000,000-Million
  • 10,000,000-Ten Million
  • 100,000,000-Hundred million
  • 1,000,000,000-Billion
  • 10,000,000,000-Ten Billion

(F)Rounding off numbers

  ≥ 5 number is rounded to next bigger numbers…


(G)Some Imp Measurements 

10 millimetres=1 centimetres

1 meters = 100 centimetres

100 centimetre= 1000 millimetres

1 kilometres=1000 metres

1 km=1000 m

1000 m=1000*1000=10,00,000 millimetres

1 gram=1000 milligrams

1 liter= 1000 millilitres 

 THANK YOU for reading

                              


                              

NCERT - Class 6th - Chapter 3 - Playing With Numbers

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