(4) Find using distributive property
(a) 728 × 101
Sol.
= 728 × 101
Distributing 101 into (100 + 1)
= 728 × (100 + 1)
= 728 × 100 + 728 × 1
= 72800 + 728
= 73528 Ans.
(b) 5437 × 1001
= 5437 × 1001
Distributing 1001 into (1000 + 1)
= 5437 × (1000 + 1)
= 5437 × 1000 + 5437 × 1
= 5437000 + 5437
5442437 is the answer
(c) 824 × 25
Sol.
= 824 × 25
Distributing 824 into (800 + 24)
= (800 + 24) × 25
Distributing 24 into (25 – 1)
= (800 + 25 – 1) × 25
= 800 × 25 + 25 × 25 – 1 × 25
= 20000 + 625 – 25
= 20000 + 600
= 20600 Ans.
d) 4275 × 125
Sol.
= 4275 × 125
Distributing 4275 into (4000 + 200 + 100 – 25)
= (4000 + 200 + 100 – 25) × 125
= 4000 × 125 + 200 × 125 + 100 × 125 – 25 × 125
= 500000 + 25000 + 12500 – 3125
= 534375 Ans.
(e) 504 × 35
Sol.
= 504 × 35
Distributing 504 into (500 + 4)
= (500 + 4) × 35
= 500 × 35 + 4 × 35
= 17500 + 140
= 17640 Ans.