Math Problem Statement

(2.32 × 10−6)(4 × 10−5)

Solution

To solve the expression (2.32×106)×(4×105)(2.32 \times 10^{-6}) \times (4 \times 10^{-5}), follow these steps:

  1. Multiply the coefficients:
    2.32×4=9.282.32 \times 4 = 9.28

  2. Add the exponents:
    (6)+(5)=11(-6) + (-5) = -11

  3. Combine the results:
    9.28×10119.28 \times 10^{-11}

Final Answer:

9.28×10119.28 \times 10^{-11}

Would you like more details on any step?

Related Questions:

  1. How do you handle multiplication of very small numbers in scientific notation?
  2. What are the steps to convert a large result into scientific notation?
  3. Why do we add exponents when multiplying powers of 10?
  4. How do significant figures affect calculations in scientific notation?
  5. What is the impact of exponent values in real-world applications?

Tip: When multiplying numbers in scientific notation, always ensure the final answer is expressed in proper scientific notation with the coefficient between 1 and 10.

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Math Problem Analysis

Mathematical Concepts

Scientific Notation
Multiplication of Powers of 10

Formulas

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Theorems

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Suitable Grade Level

High School