Question

write the number in decimal notation.
4.2 × 10⁸
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1. - / 1 points

write the number in decimal notation.
8.265 × 10⁻⁷
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Explanation:

First Problem: \(4.2 \times 10^{8}\) in decimal notation

Step1: Understand \(10^8\) value

\(10^8 = 100000000\) (100 million, 8 zeros)

Step2: Multiply by 4.2

\(4.2 \times 100000000 = 420000000\)

Step1: Understand \(10^{-7}\) value

\(10^{-7}=\frac{1}{10^7}=\frac{1}{10000000}=0.0000001\) (7 zeros after decimal before 1)

Step2: Multiply by 8.265

\(8.265\times0.0000001 = 0.0000008265\)

Answer:

\(420000000\)

Second Problem: \(8.265 \times 10^{-7}\) in decimal notation