NCERT Solutions Class 6 Maths Chapter 1 Knowing Our Numbers Exercise 1.3

Knowing Our Numbers

Problems for Practice

Q 1). Estimate each of the following using a general rule.

a). 730 + 998                       b). 796 – 314

c). 12,901 + 2,888                d). 28.292 – 21,496

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

a). 730 + 998  

  Estimation: 700 + 1000

     = 1700

 

  b). 796 – 314

  Estimation: 800 – 300

                  = 500

 c). 12,901 + 2,888  

   Estimation: 13000 + 3000

                   = 16000

 

 

 d). 28.292 – 21,496

  Estimation: 28000 – 21000

             = 7000

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

Addition:

a). 520 + 780  

     = 500 + 800

     = 1300

 

  b). 796 + 314

  Estimation: 800 + 300

                  = 1100

c). 10,901 + 4,998  

Estimation: 11000 + 5000

                   = 16000

d). 18,992 + 20,096

Estimation: 19000 + 20000

             = 39000

e). 2848 + 8954

  Estimation: 3000 + 9000

                 = 12000

Subtraction:

a). 720 – 380  

     = 700 – 400

     = 300

 

  b). 796 – 314

  Estimation: 800 – 300

                  = 500

c). 10,901 – 4,998  

Estimation: 11000 – 5000

                   = 6000

d). 28,992 – 20,096

Estimation: 29000 – 20000

             = 9000

e). 9848 – 8954

  Estimation: 10000 – 9000

                 = 1000

 

Q 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 + 4,317                 b). 1,08,734 – 47,599

c). 8325- 491                             d). 4,89,348 – 48.365

Make four more such examples.

a). 439 + 334 + 4,317  

rounding off to nearest hundreds: 400 + 300 + 4300

                                                   = 5000

rounding off to nearest tens: 440 + 330 + 4320

                                                   = 5090

 

 

b). 1,08,734 – 47,599

rounding off to nearest hundreds: 108700 – 47600

                                                   = 61100

rounding off to nearest tens: 108730 – 47600

                                                   = 61130

 

c). 8325- 491 

rounding off to nearest hundreds: 8300 – 500

                                                   = 7800

rounding off to nearest tens: 8330 – 490

                                                   = 7840

d). 4,89,348 – 48,365

rounding off to nearest hundreds: 489300 – 48400

                                                   = 440900

rounding off to nearest tens:  489350 – 48370

                                           = 980

 

Q 3). Estimate the following products using the general rule:

a). 578 X 161                        b). 5281 X 3491

c). 1291 X 592                      d). 9250 X 29

Make four more such examples.

Answers:

a). 578 X 161

Estimation: 600 X 200

                 =  1,20,000

 

 b). 5281 X 3491

Estimation: 5000 X 3000

                 =  1,50,00,000

 

c). 1291 X 592

Estimation: 1300 X 600

                 =  7,80,000

 

 d). 9250 X 29

Estimation: 9000 X 30

                 =  2,70,000

Make four more such examples.

a). 428 X 1250                        b). 4687 X 3214

c). 4387 X 395                        d). 8240 X 191

Answers:

a). 428 X 1250

Estimation: 400 X 1000

                 =  4,00,000

 

 b). 4687 X 3214

Estimation: 5000 X 3000

                 =  1,50,00,000

 

c). 4387 X 395

Estimation: 4000 X 400

                 =  16,00,000

 

 d). 6240 X 191

Estimation: 6000 X 200

                 =  12,00,000

 

Page 19

Try These

Round these numbers to the nearest tens.

28     32     52     41     39     48     64

59     99     215    1453     2936

Answer:

Number 28 32 52 41 39 48 64 59 99 215 1453 2936
Nearest tens 30 30 50 40 40 50 60 60 100 220 1450 2940

 

 

Rounding off to nearest Hundreds

Check if the following rounding off is correct or not:

841 – 800           9537 – 9500            49730- 49700

2546 – 2500       286-  200                5750 – 5800

168-  200           149-  100                9870-  9800

Correct those which are wrong.

Answer:

841 – 800     correct      

9537-  9500   correct          

 49730-  49700 correct 

2546-  2500  correct       

286-  200   Wrong Correct answer is 300             

5750 – 5800  correct 

168 – 200 correct            

149 – 100  correct               

 9870 – 9800 wrong correct answer is 9900.

Rounding off to nearest Thousands

Check if the following rounding off is correct or not:

2573 – 3000           53552 – 53000            6404 – 6000

65437 –  65000       7805 – 7000                3499 – 4000

Correct those which are wrong.

Answer:

2573 – 3000 correct

53552 – 53000  wrong correct answer is 54000             

6404 – 6000 correct

65437 – 65000   correct     

7805 – 7000   wrong correct answer is 8000              

3499 – 4000 wrong correct answer is 3000.

Page 20

Rounding off the given numbers to the nearest tens, hundreds and thousands.

Number Nearest tens Nearest hundreds Nearest thousands Nearest ten thousands
75847 75850 75800 7600 80000

 

Page 22

Estimate the following products:

a). 87 X 313

b). 9 X 795

c). 898 X 785

d) 958 X 387

Answer:

a). 87 X 313

87 X 313 = 90 X 300

              = 27000

b). 9 X 795

  9 X 795 = 10 X 800

               = 8000

c). 898 X 785

 898 X 785 = 900 X 800

                  = 720000

d) 958 X 387

   958 X 387 = 1000 X 400

                   = 400000

 

 

Knowing Our Numbers

Exercise 1.1

Exercise 1.2

 

 

 

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