RS Aggarwal Solutions Class 6 Chapter 1 Number System Exercise 1D

  

EXERCISE-1D




Question 1

Q.1. Round each of the following numbers to the nearest ten :
(a) 36
(b) 173
(c) 3869
(d) 16378

Ans. 
(a) 40
(b) 170
(c) 3870
(d) 16380





Question 2

Q.2. Round each of the following numbers to the nearest hundred :
(a) 814
(b) 1254
(c) 43126
(d) 98165

Ans.
(a) 800
(b) 1300
(c) 43100
(d) 98200





Question 3

Q.3. Round each of the following numbers to the nearest thousand:
(a) 793
(b) 4826
(c) 16719
(d) 28394

Ans.
(a) 1000
(b) 5000
(c) 17000
(d) 28000






Question 4

Q. 4. Round each of the following numbers to the nearest ten thousand :
(a) 17514
(b) 26340
(c) 34890
(d) 272685

Ans.
(a) 20000
(b) 30000
(c) 30000
(d) 270000






Question 5

Estimate each sum to the nearest ten:

Q.5. $(57+34)$

Ans.
$(57+34)$
57 estimated to the nearest ten $=60$
34 estimated to the nearest ten $=30$
Required sum $=60+30=90$





Question 6

Q.6. $(43+78)$

Ans.
$(43+78)$
43 estimated to the nearest ten $=40$
78 estimated to the narest ten $=80$
Required sum $=40+80=120$ Ans.




Question 7

Q.7. $(14+69)$.

Ans.
$(14+69)$
14 estimated to the nearest ten $=10$
69 estimated to the nearest ten $=70$
Required sum $=10+70=80$ Ans.





Question 8

Q.8. $(86+19)$.

Ans.
$(86+19)$
86 estimated to the nearest ten $=90$
19 estimated to the nearest ten $=20$
Required sum $=90+20=110$ Ans.



Question 9

Q.9. $(95+58)$.

Ans.
$(95+58)$
95 estimated to the nearest ten $=100$
58 estimated to the nearest ten $=60$
$\therefore$ Required sum $=100+60=160$




Question 10

Q.10. $(77+63)$.

Ans.
77 estimated to the nearest ten $=80$
63 estimated to the nearest ten $=60$
$\therefore$ Required sum $=80+60=140$




Question 11

Q.11. (356 + 275).

Ans.
$(356+275)$
356 estimated to the nearest ten $=360$
275 estimated to the nearest ten $=280$
$\therefore$ Required sum $=360+280=640$






Question 12

Q.12. (463 + 182).

Ans. $463+182$
463 estimated to the nearest ten $=460$
182 estimated to the nearest ten $=180$
$\therefore$ Required sum $=460+180=640$





Question 13

Q.13. $(538+276)$.

Ans. $(538+276)$
538 estimated to the nearest ten $=540$
276 estimated to the nearest ten $=280$
Required sum $=540+280=820$





Question 14

Estimate each sum to the nearest hundred :
Q.14. $(236+689)$.

Ans.
$(236+689)$
236 estimated to the nearest hundred $=200$
689 estimated to the nearest hundred $=700$
$\therefore$ Required sum $=200+700=900$






Question 15

Q.15. $(458+324)$.

Ans. $(458+324)$
458 estimated to the nearest hundred $=500$
324 estimated to the nearest hundred $=300$
$\therefore$ Required sum $=500+300=800$





Question 16

Q.16. $(170+395)$.

Ans. $(170+395)$
170 estimated to the nearest hundred $=200$
395 estimated to the nearest hundred $=400$
$\therefore$ Required sum $=200+400=600$






Question 17

Q.17. (3280 + 4395).

Ans. $(3280+4395)$
3280 estimated to the nearest hundred $=3300$
4395 estimated to the nearest hundred $=4400$
$\therefore$ Required sum $=3300+4400$
$\text { = } 7700$




Question 18

Q. $18 .(5130+1410)$.

Ans. $(5130+1410)$
5130 estimated to the nearest hundred $=5100$
1410 estimated to the nearest hundred $=1400$
$\therefore$ Required sum $=5100+1400=6500$





Question 19

Q.19. $(5130+1410)$.

Ans. $(5130+1410)$
5130 estimated to the nearest hundred $=5100$
1410 estimated to the nearest hundred $=1400$
$\therefore$ Required sum $=5100+1400=6500$






Question 20

Estimate each sum to the nearest thousand:
Q.20. (32836 + 16466).

Ans. $(32836+16466)$
32836 estimated to the nearest thousand $=33000$
16466 estimated to the nearest thousand $=16000$
$\therefore$ Required sum $=33000+16000=49000$





Question 21

Q.21. $(46703+11375)$.

Ans. $(46703+11375)$
46703 estimated to the nearest thousand $=47000$
11375 estimated to the nearest thousand $=11000$
$\therefore$ Required sum $=47000+11000=58000$




Question 22

Q. 22. There are 54 balls in box $A$ and 79 balls in box $B$. Estimate the total number of balls in both the boxes taken together.

Ans. 54 balls +79 balls
54 balls estimated to the nearest $10=50$
79 balls estimated to the nearest $10=80$
$\therefore$ Required total number of balls
$=50+80+130$




Question 23

Estimate each difference to the nearest ten :
Q.23. (53 - 18).

Ans. (53 - 18)
53 estimated to the nearest ten $=50$
18 estimated to the nearest ten $=20$
$\therefore$ Difference of 50 and $20=50-20=30$
$=260$





Question 24

Q.24. (97 - 38).

Ans. $(97-38)$
97 estimated to the nearest ten $=100$
38 estimated to the nearest ten $=40$
$\therefore$ Difference of 100 and $40=100-40=60$





Question 25

Q.25. (409 - 148).

Ans. (409 - 148)
409 estimated to the nearest ten $=410$
148 estimated to the nearest ten $=150$
$\therefore$ Difference of 410 and $150=410-150$





Question 26

Estimate each difference to the nearest hundred:
Q.26. (678 - 215).


Ans. $(678$ - 215)
678 estimated to the nearest hundred $=700$
215 estimated to the nearest hundred $=200$
$\therefore$ Difference between 700 and 200
$=700-200=500$





Question 27

Q.27. (957 - 578).

Ans. $(957$ - 578)
957 estimated to the nearest hundred $=1000$
578 estimated to the nearest hundred $=600$
$\therefore$ Difference between 1000 and 600
$=1000-600=400$





Question 28

Q.28. (7258 - 2429).

Ans. (7258 - 2429)
7258 estimated to the nearest hundred $=7300$
2429 estimated to the nearest hundred $=2400$
$\therefore$ Difference between 7300 and 2400
$=7300-2400=4900$








Question 29

Q.29. (5612 - 3095)

Ans.
5612 estimated to the nearest hundred $=5600$
3095 estimated to the nearest hundred $=3100$
$\therefore$ Difference between 5600 and 3100
$=5600-3100=2500$






Question 30

Estimate each difference to the nearest thousand:
Q.30. (35863 - 27677)

Ans.
35863 estimated to the nearest thousand $=36000$
27677 estimated to the nearest thousand $=28000$
$\therefore$ Difference between 36000 and 28000
$=36000-28000=8000$




Question 31

Q. 31 . (47005 - 39488).

Ans. (47005 - 39488)
47005 estimated to the nearest thousand $=47000$
39488 estimated to the nearest thousand $=39000$
Difference between 47000 and 39000
$=47000-39000=8000$
15 estimated to the nearest ten $=20$
34 estimated to the nearest ten $=30$
$20 \times 30=600$ Ans.


















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