Math Problem Statement

4.02×105 Pa

Solution

The value 4.02 × 10⁵ Pa represents a pressure measurement in Pascals (Pa), which is the SI unit for pressure. Specifically, this is in scientific notation, where:

  • 4.02 is the coefficient.
  • 10⁵ indicates that the decimal point should be moved five places to the right.

So, 4.02 × 10⁵ Pa is equivalent to:

402,000 Pa or 402 kPa (kilopascals).

This might represent a pressure, for example, in atmospheric conditions, a mechanical system, or in a scientific experiment.

Would you like to explore the concept of pressure further or need help with something related to it?


Here are some related questions you could explore:

  1. How do you convert pressure units from Pascals to atmospheres (atm)?
  2. What are common applications where high pressure values like this are encountered?
  3. How do you calculate pressure in a fluid using Pascal's law?
  4. What is the relationship between pressure and volume in Boyle's law?
  5. How does pressure change with altitude?

Tip: When dealing with scientific notation, ensure the coefficient is between 1 and 10 to maintain standard form (e.g., 4.02 × 10⁵ instead of 0.402 × 10⁶).

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Math Problem Analysis

Mathematical Concepts

Scientific Notation
Unit Conversion
Pressure Measurement

Formulas

Scientific notation conversion: A × 10^n = A followed by n zeros

Theorems

Standard form of scientific notation

Suitable Grade Level

Grades 7-10