Final answer:
To divide numbers in scientific notation, divide the decimal coefficients and subtract the exponents of the ten to the power terms. For example, dividing 2.4 × 1013 by 8 × 107 results in 0.3 × 106, also expressed as 3 × 105.
Explanation:
Division of Numbers in Scientific Notation
The question seems to involve the division of numbers expressed in scientific notation. Performing division in scientific notation generally involves dividing the decimal coefficients (the numbers in front of the powers of ten) and then subtracting the exponents of the ten to the power terms from one another. For instance, when dividing 2.4 × 1013 by 8 × 107, one would start by dividing 2.4 by 8, and then subtract the exponent in the denominator (7) from the exponent in the numerator (13). Doing so results in a new power of ten, 106.
A step-by-step explanation to divide 2.4 × 1013 by 8 × 107 would involve:
- Divide the coefficients: 2.4/8 = 0.3
- Subtract the exponents: 13 - 7 = 6
- Combine the results: 0.3 × 106 or 3 × 105 after adjustment for significant figures.
Decimal places and rounding rules are important in maintaining precision, especially when using scientific notation in divisions or other operations.