Math Problem Statement

now i want write thuis 43120 in terms of 10to the nth powers

Solution

To express 4312043120 in terms of 1010 to the nnth power, we need to rewrite it in scientific notation. Scientific notation expresses a number as a product of a coefficient (between 1 and 10) and a power of 10.

Here are the steps:

  1. Identify the coefficient: The coefficient is found by moving the decimal point in 4312043120 so that it is between 1 and 10. For 4312043120, move the decimal 4 places to the left, which gives us 4.3124.312.

  2. Determine the power of 10: Since we moved the decimal point 4 places to the left, we multiply 4.3124.312 by 10410^4.

So, 4312043120 can be written as:

43120=4.312×10443120 = 4.312 \times 10^4

Would you like further details or have any questions?

Here are some related questions you might find useful:

  1. How do you convert large numbers into scientific notation?
  2. What is the process for converting small decimal numbers into scientific notation?
  3. How do you perform arithmetic operations with numbers in scientific notation?
  4. How do you express 0.000450.00045 in scientific notation?
  5. What are the benefits of using scientific notation in mathematics and science?

Tip: Scientific notation is especially useful for dealing with very large or very small numbers, making them easier to read, compare, and compute.

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Math Problem Analysis

Mathematical Concepts

Scientific Notation

Formulas

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Theorems

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Suitable Grade Level

Grades 9-12