Question

question 7

convert \\(2.93 \times 10^{-5}\\) to decimal notation:

question 8

multiply:
\\((3 \times 10^5) (6 \times 10^9)\\)

\\(18 \times 10^{14}\\)
\\(5 \times 10^{-5}\\)
\\(9 \times 10^{14}\\)
\\(1.8 \times 10^{15}\\)

Explanation:

Convert to decimal notation

$$ 2.93 \times 10^{-5} = 0.0000293 $$

Multiply the expressions

$$ (3 \times 10^5)(6 \times 10^9) = (3 \times 6) \times (10^5 \times 10^9) = 18 \times 10^{14} $$

Convert to standard scientific notation

$$ 18 \times 10^{14} = 1.8 \times 10^1 \times 10^{14} = 1.8 \times 10^{15} $$

Answer:

Question 7

Convert \(2.93 \times 10^{-5}\) to decimal notation: <blank>0.0000293</blank>

Question 8

• (A) \(18 \times 10^{14}\)
• (B) \(5 \times 10^{-5}\)
• (C) \(9 \times 10^{14}\)
• (D) \(1.8 \times 10^{15}\) (Correct answer)