evaluate 103multiply 107 using identity
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Answer:
103×107
(100+3)×(100+7)
(100)²+100(3+7)+(3×7)
10000+100(10)+21
10000+1000+21
11021
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Answer:
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Explanation:
Given : Expression 103 x 107
To evaluate : The given expression with the appropriate identity
Solution :
Expression
103 x 107
= (100+ 3) x (100 + 7)
Using the identity (x + a)(a + b) = x² +
(a + b)x + ab
Where, x=100, a=3, b=7
= = 1002 + (3 + 7)100 + 3 7
= 10000 + (10)100 + 21
= 10000 + 1000 + 21
= 11021
Therefore, The solution of the given expression is
103 x 107 = 11021
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