Math Problem Statement

Nyatakan bilangan berikut dalam bentuk bilangan biasa: a. 6,125 x 10^6, b. 4,02 x 10^-4, c. 0,0045 x 10^-3, d. 72.500 x 10^-2, e. 9.025 x 10^6

Solution

You're asking to convert the given scientific notation numbers into standard form. Let's compute each one:

a. 6.125×1066.125 \times 10^6 b. 4.02×1044.02 \times 10^{-4} c. 0.0045×1030.0045 \times 10^{-3} d. 72.500×10272.500 \times 10^{-2} e. 9.025×1069.025 \times 10^6

Here are the results in standard form:

a. 6,125,0006,125,000 b. 0.0004020.000402 c. 0.00000450.0000045 d. 0.7250.725 e. 9,025,0009,025,000

Would you like more details on how these conversions are done, or do you have any other questions? Here are some follow-up topics we could explore:

  1. What happens to the decimal point in scientific notation when the exponent is positive?
  2. What changes occur when the exponent in scientific notation is negative?
  3. How can scientific notation be useful in fields like physics and engineering?
  4. Would you like to try converting other numbers from standard form to scientific notation?
  5. Can you explain why scientific notation is a useful tool for dealing with very large or very small numbers?

Tip: When converting a number from scientific notation to standard form, multiply the base by 1010 raised to the power of the exponent. Move the decimal point to the right for positive exponents and to the left for negative exponents, adding zeros as necessary.

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Math Problem Analysis

Mathematical Concepts

Scientific Notation
Number Conversion

Formulas

Scientific notation to standard form: N x 10^n, where N is the coefficient and n is the exponent

Theorems

The principle of decimal shifts based on exponent sign in scientific notation

Suitable Grade Level

Grades 8-10