Final answer:
To express the number 2.64 x 10⁴ in decimal notation, we move the decimal point 4 places to the right, resulting in 26400.
Step-by-step explanation:
To express the number 2.64 x 10⁴ in decimal notation, we need to move the decimal point 4 places to the right since the exponent is positive. Starting with the given number 2.64, we move the decimal point 4 places to the right, resulting in 26400. Therefore, the decimal notation of 2.64 x 10⁴ is 26400.
Decimal notation refers to the standard system of writing numbers using base-10, where each digit's position represents a power of 10. The decimal system includes digits from 0 to 9, and each place value is a power of 10.
For example, in the decimal number 123.45:
The digit 5 is in the tenths place (10⁻¹)).
The digit 4 is in the units place (10⁰).
The digit 3 is in the tens place (10¹).
The digit 2 is in the hundreds place (10²).
The digit 1 is in the thousands place (10³).
The decimal point separates the whole number part (123) from the fractional part (0.45). Each digit to the right of the decimal point represents a negative power of 10.