1. \( 1.4 \times \frac{22}{7} \times(10.5)^{2} \)

To solve the expression \( 1.4 \times \frac{22}{7} \times (10.5)^{2} \), let's break it down step by step. First, calculate \( (10.5)^{2} \), which is \( 110.25 \). Next, multiply \( 1.4 \) by \( \frac{22}{7} \), which is approximately \( 6.2857 \). Now, multiply that result by \( 110.25 \): \[ 6.2857 \times 110.25 \approx 693.505 \] So, the final result is approximately \( 693.51 \). Keep in mind that depending on the calculations’ precision, your final answer may vary slightly. For those curious about its further impact, the number derived here could represent a real-world quantity, such as the area of a circle in a fun project, or the circumference in a recipe that requires specific metrics. Embracing math in everyday scenarios can make calculations more relatable and exciting!