Subjects algebra

Standard Form 3824C5

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1. **State the problem:** Convert the given numbers to standard form (scientific notation) correct to three significant figures. 2. **Recall the rules:** - Standard form is written as $a \times 10^n$ where $1 \leq a < 10$ and $n$ is an integer. - Significant figures count all digits starting from the first non-zero digit. 3. **Part A: 0.060023** - Identify the first three significant figures: 6, 0, and 0 (the zeros between significant digits count). - Round the number to three significant figures: 0.0600 (since the next digit 2 is less than 5, no rounding up). - Express in standard form: $$0.0600 = 6.00 \times 10^{-2}$$ 4. **Part B: 5 04653** (assuming the number is 504653 without spaces) - Identify the first three significant figures: 5, 0, and 4. - Round the number to three significant figures: 505000 (since the next digit 6 is greater than 5, round up the 4 to 5). - Express in standard form: $$505000 = 5.05 \times 10^{5}$$ **Final answers:** - A) $6.00 \times 10^{-2}$ - B) $5.05 \times 10^{5}$