Using the properties of addition and multiplication find the product of 849 and 205
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Given : 849 ×205
To find : product of 849×205
Solution:
849 ×205
= 849 ×(200 + 5)
use a ( b + c) = ab + ac
= 849 ×200 + 849 ×5
= (850-1)×200 + (850-1) ×5
= 850×200 -1×200 + 850×5-1×5
= 170000 - 200 + 4250 - 5
= 170000 + 4250 - 200 - 5
= 174250 - (200 + 5)
= 174250 - 205
= 174045
849 ×205 = 174045
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