Subjects algebra

Standard Form E57715

Step-by-step solutions with LaTeX - clean, fast, and student-friendly.

Use the AI math solver

1. The problem asks to write the given numbers in standard form (scientific notation). 2. Standard form expresses numbers as $a \times 10^n$ where $1 \leq |a| < 10$ and $n$ is an integer. 3. For each number, move the decimal point to the right of the first non-zero digit and count how many places you moved it. This count becomes the negative exponent since these are small numbers. 4. a) $0.00000008$ moves the decimal 8 places to the right: $$0.00000008 = 8 \times 10^{-8}$$ 5. b) $0.000000009$ moves the decimal 9 places to the right: $$0.000000009 = 9 \times 10^{-9}$$ 6. c) $0.05$ moves the decimal 1 place to the right: $$0.05 = 5 \times 10^{-2}$$ 7. d) $0.0000006$ moves the decimal 7 places to the right: $$0.0000006 = 6 \times 10^{-7}$$ Final answers: - a) $8 \times 10^{-8}$ - b) $9 \times 10^{-9}$ - c) $5 \times 10^{-2}$ - d) $6 \times 10^{-7}$