Math Problem Statement

$\frac{1•1}{0,166•10^{-23}}$

Solution

To solve the expression 110.1661023\frac{1 \cdot 1}{0.166 \cdot 10^{-23}}:

  1. Simplify the numerator: 11=11 \cdot 1 = 1

  2. Simplify the denominator: 0.16610230.166 \cdot 10^{-23}

  3. Now, perform the division: 10.1661023=10.1661023\frac{1}{0.166 \cdot 10^{-23}} = \frac{1}{0.166} \cdot 10^{23}

  4. Calculate 10.166\frac{1}{0.166}: 10.1666.0241\frac{1}{0.166} \approx 6.0241

  5. Multiply by 102310^{23}: 6.0241×1023=6.0241×10236.0241 \times 10^{23} = 6.0241 \times 10^{23}

So, the result is approximately: 6.0241×10236.0241 \times 10^{23}

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Here are some related questions you might find interesting:

  1. What is the significance of scientific notation in mathematics?
  2. How do you convert between standard form and scientific notation?
  3. What are some common applications of numbers in the form a×10na \times 10^n?
  4. How can you simplify expressions with negative exponents?
  5. How does one estimate the value of a division involving very small numbers?

Tip: When dealing with very small or very large numbers, scientific notation helps simplify calculations and improves clarity.