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Express the number apperaring in the fol...

Express the number apperaring in the following statements in standard form.
`60,230,000,000,000,000,000,000` molecules are contained in a drop of water weighting `1.8 gm`.

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The correct Answer is:
To express the number `60,230,000,000,000,000,000,000` in standard form, we follow these steps: ### Step-by-Step Solution: 1. **Identify the significant digits**: The first step is to identify the significant digits in the number. Here, the significant digits are `6.023`. 2. **Count the number of places the decimal point is moved**: We need to move the decimal point in `6.023` to the right until we reach the original number. The original number is `60,230,000,000,000,000,000,000`, which has the decimal point at the end. Moving the decimal point from `6.023` to the end of the number involves counting how many places we move it: - From `6.023` to `60.23` (1 place) - From `60.23` to `602.3` (2 places) - From `602.3` to `6023` (3 places) - From `6023` to `60230` (4 places) - From `60230` to `602300` (5 places) - From `602300` to `6023000` (6 places) - From `6023000` to `60230000` (7 places) - From `60230000` to `602300000` (8 places) - From `602300000` to `6023000000` (9 places) - From `6023000000` to `60230000000` (10 places) - From `60230000000` to `602300000000` (11 places) - From `602300000000` to `6023000000000` (12 places) - From `6023000000000` to `60230000000000` (13 places) - From `60230000000000` to `602300000000000` (14 places) - From `602300000000000` to `6023000000000000` (15 places) - From `6023000000000000` to `60230000000000000` (16 places) - From `60230000000000000` to `602300000000000000` (17 places) - From `602300000000000000` to `6023000000000000000` (18 places) - From `6023000000000000000` to `60230000000000000000` (19 places) - From `60230000000000000000` to `602300000000000000000` (20 places) - From `602300000000000000000` to `6023000000000000000000` (21 places) - From `6023000000000000000000` to `60230000000000000000000` (22 places) Thus, we moved the decimal point **22 places to the right**. 3. **Express in standard form**: In standard form, we express the number as: \[ 6.023 \times 10^{22} \] ### Final Answer: The number `60,230,000,000,000,000,000,000` in standard form is: \[ 6.023 \times 10^{22} \]
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