Math Problem Statement

(29times10^-3)/(6.02times10^23)

Solution

To evaluate the expression 29×1036.02×1023\frac{29 \times 10^{-3}}{6.02 \times 10^{23}}, follow these steps:

Step 1: Simplify the expression

29×1036.02×1023\frac{29 \times 10^{-3}}{6.02 \times 10^{23}}

Step 2: Separate the constants and the powers of 10

296.02×1031023=296.02×10323\frac{29}{6.02} \times \frac{10^{-3}}{10^{23}} = \frac{29}{6.02} \times 10^{-3-23}

Step 3: Simplify the exponents

296.02×1026\frac{29}{6.02} \times 10^{-26}

Step 4: Perform the division of the constants

296.024.82\frac{29}{6.02} \approx 4.82

Step 5: Multiply by the power of 10

4.82×10264.82 \times 10^{-26}

Thus, the simplified expression is: 4.82×10264.82 \times 10^{-26}

Would you like more details or have any questions?

Here are 5 related questions:

  1. How do you multiply and divide numbers in scientific notation?
  2. What are the common rules for simplifying exponents?
  3. How do you convert a number in scientific notation to standard form?
  4. What is the significance of significant figures in scientific calculations?
  5. How can you apply scientific notation to real-world problems?

Tip: When working with very large or very small numbers, scientific notation simplifies calculations and helps maintain accuracy.

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Math Problem Analysis

Mathematical Concepts

Scientific Notation
Division of Numbers
Exponents

Formulas

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Theorems

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Suitable Grade Level

Grades 9-12