Use scientific notation to express each quantity with only base units (no prefix multipliers). d. 35 μm

Verified step by step guidance

1. Identify the given quantity: 35 \(\mu\)m, where \(\mu\) represents the micro- prefix, which is equivalent to \(10^{-6}\).
2. Convert the given quantity to meters by multiplying 35 by \(10^{-6}\) since 1 \(\mu\)m = \(10^{-6}\) m.
3. Express the result in scientific notation, ensuring that the coefficient is between 1 and 10.
4. Verify that the units are now in base units, which in this case is meters (m).
5. Write the final expression in scientific notation, confirming that it is in the form \(a \times 10^{b}\), where \(1 \leq a < 10\).

Key Concepts

Scientific Notation

Scientific notation is a method of expressing numbers as a product of a coefficient and a power of ten. It simplifies the representation of very large or very small numbers, making calculations easier. For example, the number 0.00035 can be expressed as 3.5 x 10^-4 in scientific notation.

Metric Prefixes

Metric prefixes are symbols that denote specific powers of ten, allowing for the easy conversion between different units. For instance, 'μ' (micro) represents 10^-6, meaning one millionth of a unit. Understanding these prefixes is essential for converting measurements into base units.

Base Units

Base units are the fundamental units of measurement in the International System of Units (SI) from which other units are derived. The base units include meters (m) for length, kilograms (kg) for mass, and seconds (s) for time. Converting quantities to base units is crucial for consistency in scientific calculations.