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1.

Find the sum by suitable rearrangement: (a) `297xx17+297xx3` (b) `54279xx92+8xx54279` (c) `81265xx169-81265xx69` (d) `3845xx5xx782+769xx25xx218`

Answer» (a)`297*17+297*3`
`=297(17+3)= 297*20`
`=5940` answer
(b)`54279*92 + 8*54279`
`=54279(92+8)= 54279*100`
`=5427900`
(c)`81265*169- 81265*69`
`=81265(169-69)= 81265*100`
`=8126500`
(d)`3845*5*782 + 769*25*218`
`= 3845*5*782+(769*5)*5*218`
`=3845*5*782+ 3845*5*218`
`=3845*5(782+218)= 19225*1000`
`= 19225000` answer
Discussion
2.

Find the sum by suitable rearrangement: (a) `2xx1768xx50` (b) `4xx166xx25` (c) `8xx291xx125` (d) `625xx279xx16` (e) `285xx5xx60` (f) `125xx40xx8xx25`

Answer» (a) `2*1768*50`
`= (2*50)*1768 = 176800`
(b) `4*166*25`
`= (4*25)*166`
`= 100*166 = 16600`
(c) `8*291*125`
`= (8*125)*291`
`= 1000*291 = 291000`
(d) `625*279*16`
`= (625*16)*279= 10000*279`
`= 2790000`
(e) `285*5*60`
`= 285*(5*60)= 285*300`
`= 85500`
(f) `125*40*8*25 = (125*8)*(40*25)`
`= 1000*1000`
`=1000000`
answer
Discussion
3.

If the product of two whole numbers is 1, can we say that one or both of them will be 1? Justify through examples.

Answer» `1*1= 1`
`2*1 != 1`
`1*2 != 1`
we can say that both of them should be 1.
then only , the product will be one
Discussion
4.

Find the sum by suitable rearrangement: (a) `837+208+363` (b) `1962+453+1538+647`

Answer» (a) `837+208+363`
= `(837+363)+ 208`
`= 1200+208`
`=1408` answer
(b)`1962+453+1538+647`
`= (1962+1538)+ (453+ 647)`
`= 3500+1100`
`=4600`answer
Discussion
5.

Write the successor of : (a) 2440701  (b) 100199  (c) 1099999  (d) 2345670

Answer» successor of
(a) `2440701 is = 2440701+1 = 2440702`
(b) `100199 is = 100199 + 1 = 100200`
(c) `1099999 is 1099999+1 = 1100000`
(d) `2345670 is = 2345670+ 1 = 2345671`
answer
Discussion
6.

Which of the following will not represent zero: (a) `1+0` (b) `0xx0` (c) `0/2` (d) `(10-10)/2`

Answer» (a) `1+0 = 1 != 0`
(b) `0*0 = 0`
(c) `0/2 = 0`
(d) `(10-10)/2 = 0/2 = 0`
answer
Discussion
7.

Write the next three natural numbers after `10999`.

Answer» the next 3 natural numbers after 10999 are
`10999+1= 11000`
`10999+2=11000+1 =11001`
`10999+3=11000+2 = 11002`
answer
Discussion