Math Problem Statement

Write 0.05796 in scientific notation.

Solution

The number in the image, 0.057960.05796, needs to be written in scientific notation.

To convert a decimal number like 0.057960.05796 to scientific notation:

  1. Move the decimal point to the right until you have a number between 1 and 10. In this case, moving the decimal two places to the right gives 5.7965.796.
  2. The number of places you moved the decimal becomes the exponent of 10. Since you moved it 2 places to the right, the exponent will be 2-2.

So, 0.057960.05796 in scientific notation is:

5.796×1025.796 \times 10^{-2}

Do you have any questions or want further details?


Here are 5 related questions for practice:

  1. How would you express 0.000340.00034 in scientific notation?
  2. What is the scientific notation for 45004500?
  3. How do you convert 6.23×1046.23 \times 10^4 back to decimal form?
  4. What is the exponent in scientific notation if you move the decimal 3 places to the right?
  5. How do negative exponents affect the value of a number in scientific notation?

Tip: In scientific notation, a negative exponent means the decimal point is moved to the left.

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Math Problem Analysis

Mathematical Concepts

Scientific Notation
Exponents
Decimal Numbers

Formulas

Scientific notation formula: a × 10^n, where 1 ≤ a < 10

Theorems

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Suitable Grade Level

Grades 6-8