Find (18 × 10⁶) + (5 × 10⁴).
A 1.8005 × 10⁶
B 1.8005 × 10⁷
C 1.805 × 10⁶
D 1.805 × 10⁷
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To solve the expression (18 × 10⁶) + (5 × 10⁴), we need to express both terms with the same power of ten.
1. Rewrite 5 × 10⁴ in terms of 10⁶:
– 5 × 10⁴ = 0.05 × 10⁶ (since 10⁴ is two powers of ten less than 10⁶).
2. Now add the two terms:
– (18 × 10⁶) + (0.05 × 10⁶) = (18 + 0.05) × 10⁶ = 18.05 × 10⁶.
3. Convert 18.05 × 10⁶ to scientific notation:
– 18.05 can be expressed as 1.805 × 10^1. Thus, we adjust our equation:
– 18.05 × 10⁶ = 1.805 × 10^1 × 10⁶ = 1.805 × 10⁷.
The correct answer is D 1.805 × 10⁷.