Math Problem Statement

Write the number 7,300 in scientific notation.

Solution

To write the number 7,3007,300 in scientific notation, we need to express it in the form:

a×10na \times 10^n

where aa is a number between 11 and 1010, and nn is an integer.

Steps:

  1. Move the decimal point in 7,3007,300 to create a number between 11 and 1010. Moving the decimal two places to the left gives us 7.37.3.
  2. Since we moved the decimal two places, we multiply 7.37.3 by 10310^3.

Thus, 7,3007,300 in scientific notation is:

7.3×1037.3 \times 10^3

Would you like more details or have any questions?

Here are some related questions to consider:

  1. How would you convert other large numbers, like 12,00012,000 or 56,00056,000, to scientific notation?
  2. What would the scientific notation look like for very small numbers, such as 0.00730.0073?
  3. How does scientific notation help when dealing with extremely large or small numbers in real-world applications?
  4. What are the rules for multiplying or dividing numbers in scientific notation?
  5. How would you add or subtract numbers that are in scientific notation?

Tip: Scientific notation is especially useful in scientific fields, as it simplifies calculations with very large or very small values.

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Math Problem Analysis

Mathematical Concepts

Scientific Notation
Powers of Ten

Formulas

a × 10^n where a is between 1 and 10, and n is an integer

Theorems

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Suitable Grade Level

Grades 5-7