2. Find the products of the following by making suitable grouping
(-40) x 15 x 50
(ii) (-125) x 67 x 8
(iii) 37 * (-250) * (-8)
(iv) (-45) x 250 x (-4) X3
3. Using a suitable property, find the products of the following:
132 x 95
(ii) 87 X 197
(iii) 305 x 104
(iv) 467 x 1002
4. Using a suitable property, simplify the following
972 x 999 + 972 x 1
50 X (-23) 50 (-17) - 50 x 10
( 2764 x 998 + 2764 x (-42) + 2764 x 44
(iv) 4150 + 415 X(-90) + 415 x 30
Answers
Answer:
Step-by-step explanation: 2.(i) (-40) x 15 x 50
= -4 x 10 x 15 x 5 x 10 [ since -40= -4 x 10 and 50= 5 x 10]
= -4 x 15 x 5 x 10 x 10
= -60 x 5 x 10 x 10
= - 300 x 10 x 10
= -30000
(ii) ( -125) x 67 x 8
= -125 x 8 x 67
= - 1000 x 67
= -67000
(iii)37 x ( -250) x (-8)
= 37 x 2000
= 74000
(iv) (-45) x 250 x (-4) x 3
= -45 x 3 x 250 x -4
=-135 x -1000
= 135000
3.(i) 132 x 95
= 132 x ( 100 - 5)
=132 x 100 - 132 x 5
= 13200 - 660
=12540
(ii) 87 x 197
= 87 x ( 200 - 3)
= 87 x 200 - 87 x 3
= 17400 - 261
= 17139
(iii) 305 x 104
=305 x ( 100 + 4 )
= 305 x 100 + 305 x 4
= 30500 + 1220
= 31720
(iv) 467 x ( 1000 + 2)
= 467 x 1000 + 467 x 2
= 467000 + 934
=467934
4.(i) 972 x 999 + 972 x 1
= 972 x ( 999 + 1 )
= 972 x 1000
= 972000
4. (ii) 50 x (-23) + 50 x (-17) - 50 x 10
= 50 x ( -23 +(-17) -10)
= 50 x -50
= -2500
(iii) 2764 x 998 + 2764 x -42 + 2764 x 44
= 2764 x ( 998 +( -42 ) + 44)
=2764 x 1000
= 2764000
(iv) 4150 + 415 x (-90) + 415 x 30
= 415 x 10 + 415 x -90 + 415 x 30
= 415 x ( 10 +(-90) + 30)
=415 x -50
= 415 x -5 x 10
= -20750
Answer:
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