Math Problem Statement

Write 679,000,000,000 in scientific notation. 

67.9 x 1010

6.79 x 1011

679 x 109

679 x 1011

Solution

To write 679,000,000,000679,000,000,000 in scientific notation:

  1. Identify the significant digits: 679679.
  2. Count the number of places to move the decimal point to place it after the first digit: 1111 places.
  3. Combine the significant digits and the power of ten: 6.79×10116.79 \times 10^{11}.

Correct Answer: 6.79×10116.79 \times 10^{11}


Would you like further clarification or have other questions? Here are some related questions to consider:

  1. What is the general rule for converting a number into scientific notation?
  2. How do you handle very small numbers in scientific notation?
  3. What is the importance of significant figures in scientific notation?
  4. Can you convert 0.0006790.000679 into scientific notation?
  5. How is scientific notation useful in real-world applications?

Tip: Always ensure the coefficient in scientific notation is between 1 and 10.

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Math Problem Analysis

Mathematical Concepts

Scientific Notation
Significant Figures
Powers of Ten

Formulas

Scientific notation: N × 10^k, where 1 ≤ N < 10

Theorems

Rules of scientific notation

Suitable Grade Level

Grades 6-8