(i) 35 × 37
We can express 35 as 30 + 5 and 37 as 30 + 7
= 35 × 37
= (30 + 5) (30 + 7)
= 30 (30 + 7) + 5 (30 + 7)
= 900 + 210 + 150 + 35
= 1295
(ii) 53 × 55
We can express 53 as 50 + 3 and 55 as 50 + 5
= 53 × 55
= (50 + 3) (50 + 5)
= 50(50 + 5) + 3 (50 + 5)
= 2500 + 250 + 150 + 15
= 2915
(iii) 103 × 96
We can express 103 as 100 + 3 and 96 as 100 – 4
= 103 × 96
= (100 + 3) (100 – 4)
= 100 (100 – 4) + 3 (100 – 4)
= 10000 – 400 + 300 – 12
= 10000 – 112
= 9888
