Mathematics
Verify each of the following :
(i) 2867 + 986 = 986 + 2867
(ii) 368 x 215 = 215 x 368
(iii) (156 + 273) + 74 = 156 + (273 + 74)
(iv) (86 x 55) x 110 = 86 x (55 x 110)
Answer
(i) 2867 + 986 = 986 + 2867
According to the Commutative Property of Addition: a + b = b + a.
Taking L.H.S. = 2867 + 986
= 3,853
Taking R.H.S. = 986 + 2867
= 3,853
Since, L.H.S. = R.H.S.
Hence, proved that 2867 + 986 = 986 + 2867.
(ii) 368 x 215 = 215 x 368
According to the Commutative Property of Multiplication: a x b = b x a.
Taking L.H.S. = 368 x 215
= 79,120
Taking R.H.S. = 215 x 368
= 79,120
Since, L.H.S. = R.H.S.
Hence, proved that 368 x 215 = 215 x 368.
(iii) (156 + 273) + 74 = 156 + (273 + 74)
According to the Associative Property of Addition: (a + b) + c = a + (b + c).
Taking L.H.S. = (156 + 273) + 74
= 429 + 74
= 503
Taking R.H.S. = 156 + (273 + 74)
= 156 + 347
= 503
Since, L.H.S. = R.H.S.
Hence, proved that (156 + 273) + 74 = 156 + (273 + 74).
(iv) (86 x 55) x 110 = 86 x (55 x 110)
According to the Associative Property of Multiplication: (a x b) x c = a x (b x c).
Taking L.H.S. = (86 x 55) x 110
= 4730 x 110
= 5,20,300
Taking R.H.S. = 86 x (55 x 110)
= 86 x 6050
= 5,20,300
Since, L.H.S. = R.H.S.
Hence, proved that (86 x 55) x 110 = 86 x (55 x 110).
Related Questions
Using the most convenient grouping, find each of the following products :
(i) 5 x 648 x 20
(ii) 8 x 329 x 25
(iii) 8 x 12 x 25 x 7
(iv) 125 x 40 x 8 x 25
Divide and verify the answer by division algorithm :
(i) 3680 ÷ 87
(ii) 17368 ÷ 327
(iii) 32679 ÷ 265
Simplify :
(i) 39 - 18 ÷ 3 + 2 x 3
(ii) 8 + 2 x 5
(iii) 5 x 8 - 6 ÷ 2
(iv) 19 - 9 x 2
(v) 15 ÷ 5 x 4 ÷ 2
Study the following pattern. In each case write the next three steps :
111 ÷ 3 = 37
222 ÷ 6 = 37
333 ÷ 9 = 37
444 ÷ 12 = 37