Question

If 3676.48 can be written in expanded form as:
$3\times {10}^a+b\times {10}^2+7\times {10}^c+6\times {10}^0+4\times {10}^d+e\times {10}^{-2}$ .
$\text{Find the value of}a+b-c-d-e.$

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Answer 1

3676.48 can be written in expanded form as:
$3\times {10}^3+6\times {10}^2+7\times {10}^1+6\times {10}^0+4\times {10}^{-1}+8\times {10}^{-2}$.
$a=3,b=6,c=1,d=-1,e=8a+b-c-d-e=3+6-1+1-8=1$