Final answer:
To find the result of (2.3×10⁴)÷(9.2×10⁶) in scientific notation, you divide the coefficients and subtract the exponents, resulting in 2.5×10⁻³ after adjusting the coefficient to fit scientific notation format.
Step-by-step explanation:
To find (2.3×10⁴)÷(9.2×10⁶) by using a calculator and give your answer in scientific notation rounded to one decimal place, you first divide the coefficients (2.3÷ 9.2) and then subtract the exponents of ten (4 - 6).
First, calculate the division of the coefficients: 2.3÷ 9.2 = 0.25. Next, subtract the exponents of ten: 4 - 6 = -2. So your preliminary result is 0.25×10⁻².
To express this in proper scientific notation, the coefficient must be between 1 and 10. Since 0.25 is less than 1, we need to adjust it by multiplying by 10 and decreasing the exponent by one. Therefore, 0.25×10⁻² becomes 2.5×10⁻³. Hence, the result is 2.5×10⁻³.