# 2. Give a rough estimate (by rounding off to nearest hundreds) and also a closer estimate (by rounding off to nearest tens) : $\\(a) 439 + 334 + 4,317 \\\\(b) 1,08,734 - 47,599 \\\\ (c) 8325- 491 \\\\ (d) 4,89,348 %u2013 48,365$

(a) $439 + 334 + 4,317$

Rounding off to nearest hundreds,

439 rounds off to 400

334 rounds off to 300

4317 rounds off to 4300,

Required sum = $400+300+4300$

$= 5000$

Again, by rounding off to nearest tens,

439 rounds off to 440

334 rounds off to 330

4317 rounds off to 4320,

Required sum = $440+330+4320$

$= 5090$

(b) $1,08,734 - 47,599$

Rounding off to nearest hundreds,

$1, 08,734$ rounds off to $1, 08,700$

$47,599$ rounds off to $47,600$

Required difference = $1, 08,700 - 47,600$

$= 61100$

Also, rounding off to nearest tens,

$1, 08,734$  rounds off to $1, 08,730$

$47,599$  rounds off to $47,600$

Required difference = $1, 08,730 - 47,600$

$= 61130$

(c) $8325 - 491$

Rounding off to nearest hundreds,

8325 rounds off to 8300

491 rounds off to 500

Required difference = $8300 - 500$

$= 7800$

Also, rounding off to nearest tens,

8325 rounds off to 8330

491 rounds off to 490

Required difference = $8330 - 490$

$= 7840$

(d) $4,89,348 - 48,365$

Rounding off to nearest hundreds,

$4,89,348$ rounds off to $4,89,300$

$48,365$ rounds off to $48,400$

Required difference = $489300 - 48400$

$= 440900$

Also, rounding off to nearest tens,

$4,89,348$ rounds off to $4,89,350$

$48,365$ rounds off to $48,370$

Required difference = $489350 - 48370$

$= 440980$

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