[Exercise 1.3] NCERT Solutions for Class 6 Maths Chapter 1 Knowing Our Numbers.

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Maths Class 6 Chapter 1 Exercise 1.3 Solutions :-

Here we have provided exercise 1.3 class 6th Maths chapter 1 NCERT Solutions which includes NCERT Solutions for exercise 1.3 class 6 maths chapter 1 solutions. These questions are related to ex 1.3 class 6 chapter 1 knowing our numbers. We suggest you to go through these NCERT Solutions for class 6 maths chapter 1 to strengthen your understanding about knowing our numbers class 6 exercise 1.3 of class 6 mathematics.


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# NCERT Solutions for Ex - 1.3

Class 6 Maths Chapter 1 Exercise 1.3 Question 1.

 Q1.  Estimate each of the following using general rule :
(a) 730 + 998
(b) 796 – 314
(c) 12,904 + 2,888
(d) 28,292 – 21,496
Make ten more such examples of addition, subtraction and estimation of their outcome.

Solution :

(a) 730 + 998
Rounding off 730 to nearest hundreds = 700
Rounding off 998 to nearest hundreds = 1,000
∴ 730 + 998 = 700 + 1000 = 1700

(b) 796 – 314
Rounding off 796 to nearest hundreds = 800
Rounding off 314 to nearest hundreds = 300
∴ 796 – 314 = 800 – 300 = 500

(c) 12,904 + 2,888
Rounding off 12,904 to nearest thousands = 13000
Rounding off 2888 to nearest thousands = 3000
∴ 12,904 + 2,888 = 13000 + 3000 = 16000

(d) 28,292 – 21,496
Rounding off 28,292 to nearest thousands = 28,000
Rounding off 21,496 to nearest thousands = 21,000
∴ 28,292 – 21,496 = 28,000 – 21,000 = 7,000

  View Video Explanation
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# 10 More Examples : 

(a) 1225 + 2375 
Rounding off 1225 to nearest thousand = 1000
Rounding off 2375 to nearest thousand = 2000
∴  1000 + 2000 = 3000

(b) 3853 + 6824 
Rounding off 3853 to nearest thousand = 4000
Rounding off 6824 to nearest thousand = 7000
∴  4000 + 7000 = 11,000

(c) 8752 – 3654
Rounding off 8752 to nearest thousand = 9000
Rounding off 3654 to nearest thousand = 4000
∴  9,000 – 4,000 = 5,000

(d) 4538 – 2965
Rounding off 4538 to nearest thousand = 5000
Rounding off 2965 to nearest thousand = 3000
∴  5,000 – 3,000 = 2,000

(e) 1927 + 3185 
Rounding off 1927 to nearest thousand = 2000
Rounding off 3185 to nearest thousand = 3000
∴  2000 + 3,000 = 5,000

(f) 3258 – 1698 
Rounding off 3258 to nearest thousand = 3000
Rounding off 1698 to nearest thousand = 2000
∴  3000 – 2000 = 1,000

(g) 8735 + 6232 
Rounding off 8735 to nearest thousand = 9000
Rounding off 6232 to nearest thousand = 6000
∴  9000 + 6000 = 15,000

(h) 1038 – 1028 
Rounding off 1038 to nearest thousand = 1000
Rounding off 1028 to nearest thousand = 1000
∴  1000 – 1000 = 0

(i) 6352 + 5830 
Rounding off 6352 to nearest thousand = 6000
Rounding off 5830 to nearest thousand = 6000
∴  6,000 + 6,000 = 12,000

(j) 9854 – 6385 
Rounding off 9854 to nearest thousand = 10,000
Rounding off 6385 to nearest thousand = 6000
∴ 10,000 – 6000 = 4,000

  View Video Explanation
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Class 6 Maths Chapter 1 Exercise 1.3 Question 2.

 Q2.  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) 8,325-491
(d) 4,89,348-48,365
Make four such examples:

Solution :

(a) 439 + 334 + 4,317

(i) Rough estimate (Rounding off to nearest hundreds)
= 439 + 334 + 4,317 
= 400 + 300 + 4300 
= 5,000

(ii) Closer estimate (Rounding off to nearest tens)
= 439 + 334 + 4317 
= 440 + 330 + 4320 
= 5090.

(b) 1,08,734 – 47,599
(i) Rough estimate (Rounding off to nearest hundreds)
= 1,08,734 – 47,599 
= 1,08,700 – 47,600 
= 61,100

(ii) Closer estimate (Rounding off to nearest tens)
= 1,08,734 – 47,599 
= 1,08,730 – 47,600 
= 61,130.

(c) 8325 – 491

(i) Rough estimate (Rounding off to nearest hundreds)
= 8325 – 491 
= 8300 – 500 
= 7800

(ii) Closer estimate (Rounding off to nearest tens)
= 8325 – 491
= 8330 – 490
= 7840.

(d) 4,89,348 – 48,365

(i) Rough estimate (Rounding off to nearest hundreds)
= 4,89,348 – 48,365 
= 4,89,300 – 48,400 
= 4,40,900

(ii) Closer estimate (Rounding off to nearest tens)
= 4,89,348 – 48,365 
= 4,89,350 – 48,370 
= 4,40,980

  View Video Explanation
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# 4 More Examples : 

(a) 384 + 562

(i) Rough estimate (Rounding off to nearest hundreds)
= 384 + 562 
= 400 + 600 
= 1,000

(ii) Closer estimate (Rounding off to nearest tens)
= 384 + 562 
= 380 + 560 
= 940

(b) 8765 – 3820

(i) Rough estimate (Rounding off to nearest hundreds)
= 8765 – 3820
= 8800 – 3800
= 5000

(ii) Closer estimate (Rounding off to nearest tens)
= 8765 – 3820
= 8770 – 3820
= 4950

(c) 6653 – 8265

(i) Rough estimate (Rounding off to nearest hundreds)
= 6653 + 8265
= 6700 + 8300
= 15,000

(ii) Closer estimate (Rounding off to nearest tens)
= 6653 + 8265
= 6650 + 8270
= 14,920

(d) 3826 – 1262

(i) Rough estimate (Rounding off to nearest hundreds)
= 3826 – 1262
= 3800 – 1300
= 2500

(ii) Closer estimate (Rounding off to nearest tens)
= 3826 – 1262
= 3830 – 1260
= 2570

  View Video Explanation
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Class 6 Maths Chapter 1 Exercise 1.3 Question 3.

 Q3.  Estimate the following products using general rule :
(a) 578 x 161
(b)5281 x 3491
(c) 1291 x 592
(d) 9250 x 29
Make four more such examples.

Solution :

(a) 578 x 161 
Rounding off to nearest hundred 
= 600 x 200
= 1,20,000

(b) 5281 x 3491 
Rounding off to nearest thousand 
= 5000 x 3000
= 1,50,00,000

(c) 1291 x 592 
Rounding off to nearest thousand & hundred
= 1000 x 600
= 6,00,000

(d) 9250 x 29 
Rounding off to nearest Thousand and Ten
= 9000 x 30
= 2,70,000

  View Video Explanation
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# 4 More Examples : 

(a) 382 x 1062 
Rounding off to nearest Hundred and Thousand 
= 400 x 1000 
= 4,00,000

(b) 6821 x 1291 
Rounding off to nearest Thousand
= 7000 x 1000
= 70,00,000

(c) 3858 x 9350 
Rounding off to nearest Thousand
= 4000 x 9000
= 3,60,00,000

(d) 3405 x 7502 
Rounding off to nearest Thousand
= 3000 x 8000
= 2,40,00,000

  View Video Explanation

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