Math Problem Statement

Write 721,000 in scientific notation.

Solution

To write 721,000 in scientific notation:

  1. Move the decimal point so the number is between 1 and 10.

    • The decimal point in 721,000 is originally after the last zero: 721,000.0721,000.0.
    • Move the decimal 5 places to the left: 7.217.21.
  2. Multiply by 1010 raised to the number of places moved.

    • Since we moved 5 places, the power of 10 is 5.

Thus, the scientific notation for 721,000 is:
7.21×105\mathbf{7.21 \times 10^5}

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Related Questions:

  1. How do you write 0.00054 in scientific notation?
  2. What is 5.6×1045.6 \times 10^4 in standard form?
  3. How do you determine the exponent in scientific notation?
  4. Write 123,400,000123,400,000 in scientific notation.
  5. Convert 8.3×1038.3 \times 10^{-3} to standard form.

Tip: When writing numbers in scientific notation, always ensure the first part (the coefficient) is between 1 and 10.

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Math Problem Analysis

Mathematical Concepts

Scientific Notation
Powers of Ten
Place Value

Formulas

Scientific Notation: a × 10^n, where 1 ≤ a < 10 and n is an integer

Theorems

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Suitable Grade Level

Grades 6-8