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Answer
0.000075 in standard form is 7.5 × 10⁻⁵.
Solution
To express 0.000075 in standard form (scientific notation), follow these steps:
1. Identify the significant figures. Here, the non-zero digits are 7 and 5, so we start with 7.5.
2. Count how many places the decimal point must move to go from 0.000075 to 7.5. The decimal point moves 5 places to the right.
3. Since the number is less than 1, the exponent will be negative. Therefore, the exponent is -5.
Thus, 0.000075 in standard form is written as 7.5 × 10⁻⁵.
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Simplify this solution Beyond the Answer
To express 0.000075 in standard form, you rewrite it as 7.5 × 10^-5. This means you shift the decimal point five places to the right, converting the small decimal to a more manageable format for calculations. Easy peasy! Did you know that standard form helps scientists, mathematicians, and engineers communicate very large or very small numbers effectively? For instance, in physics, the speed of light is approximately 3.0 × 10^8 meters per second. Standard form simplifies complex numbers, making them easier to read and understand!
