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Question
Find the number in standard form for the following expansions:
8 × 104 + 7 × 103 + 6 × 102 + 5 × 101 + 2 × 1 + 4 × 10−2 + 7 × 10−4
Sum
Solution
8 × 104 + 7 × 103 + 6 × 102 + 5 × 101 + 2 × 1 + 4 × 10−2 + 7 × 10−4
= 8 × 104 + 7 × 103 + 6 × 102 + 5 × 101 + 2 × 1 + 4 × 10−2 + 7 × 10−4
= `8 xx 1000+ 7 xx 1000 + 6 xx 100 + 5 xx 10 + 2 xx 1 + 4 xx 1/100 + 7 xx 1/10000`
= `80000 + 7000 + 600 + 50 + 2 + 4/100 + 7/10000`
= 87652.0407
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