Final Answer:
The quotient is 10, the divisor is 30, and the dividend is 300.
Step-by-step explanation:
In a division problem, the quotient represents the result of dividing the dividend by the divisor. In this scenario, when the quotient is rounded to the nearest ten, it is ₁₀. This implies that the result of the division is a multiple of ₁₀. Furthermore, when the divisor is rounded to the nearest ten, it is ₃₀, indicating that the divisor is a multiple of ₁₀. To find the dividend, we can multiply the quotient by the divisor: ₁₀ × ₃₀ = ₃₀₀. Therefore, the quotient is ₁₀, the divisor is ₃₀, and the dividend is ₃₀₀.
Understanding the relationships between the quotient, divisor, and dividend in a division problem is fundamental in basic arithmetic. The quotient represents the result of dividing one quantity by another, the divisor is the number by which the dividend is divided, and the dividend is the total quantity to be divided.
In this specific case, the rounded values to the nearest ten simplify the calculation and highlight the multiples of ₁₀ involved. This knowledge is foundational for solving division problems and provides insight into the significance of rounding in representing numerical values in a more concise and manageable form.