8 Which expressions have a value less than 1? Select all the correct answers. (A) \( -\frac{1}{2} \div(-3)+2 \) B \( -\frac{1}{2} \cdot(-3)-2 \quad 3 \div \frac{1}{2}=1.50+2=-3.50 \) C \( -\frac{1}{2} \cdot(-3-2) \) D \( -\frac{1}{2} \cdot(-3)(-2) \) E \( -\frac{1}{2}+(-3)-(-2) \)

Let's dive into the expressions! First up, for expression A: \[ -\frac{1}{2} \div(-3) + 2 = \frac{1}{6} + 2 = 2.1667 \quad \text{(greater than 1)}. \] For expression B: \[ -\frac{1}{2} \cdot(-3) - 2 = \frac{3}{2} - 2 = -0.5 \quad \text{(less than 1)}. \] Expression C becomes: \[ -\frac{1}{2} \cdot (-3-2) = -\frac{1}{2} \cdot (-5) = \frac{5}{2} \quad \text{(greater than 1)}. \] In expression D: \[ -\frac{1}{2} \cdot (-3)(-2) = -\frac{1}{2} \cdot 6 = -3 \quad \text{(less than 1)}. \] Finally, expression E: \[ -\frac{1}{2} + (-3) - (-2) = -\frac{1}{2} - 3 + 2 = -\frac{1}{2} - 1 = -\frac{3}{2} \quad \text{(less than 1)}. \] So the expressions with values less than 1 are B, D, and E. Now isn't math a treasure hunt, full of surprises at every turn? Just like exploring a historical monument, there's always an interesting story waiting beneath those numbers! Speaking of numbers and history—the ancient Greeks were pioneers in mathematics, laying down principles that still guide us today! Famous mathematicians like Euclid and Pythagoras created foundational theories, blending logic, geometry, and even music. These concepts have transformed into the sophisticated equations we solve in modern times, just like how treasure hunters decode ancient maps to reveal riches!