tive section - \( \mathbf{A} \) Let's show these operations in number lines and simplify. \( \begin{array}{lll}\text { (a) }(+2) \times(+3) & \text { (b) }(-2) \times(+4) & \text { (c) }(+5) \times(-2) \\ \text { (e) }(+6) \div(+2) & \text { (f) }(-8) \div(+4) & \text { (g) }(+15) \div(-3)\end{array} \)

Let’s take a delightful dive into the world of number lines and operations! For addition, the positive results shine brightly on the number line. In (a), \( (+2) \times (+3) = +6 \) would demonstrate a fun hop from 0 to +2, taking three big jumps of 2, landing at +6. In (b), \( (-2) \times (+4) = -8 \) means starting at 0, moving left to -2, and taking four jumps of -2, ending happily at -8. Similarly, in (c), \( (+5) \times (-2) = -10 \) shows that starting from 0, you go to +5 and then take two jumps to the left, arriving at -10. Switching gears to division, with (e) \( (+6) \div (+2) \) we slice up 6 into 2s, leading us neatly to +3. In (f) \( (-8) \div (+4) = -2\), we’re determining how many times 4 fits into -8; it fits twice, leaving us at -2. Finally, (g) \( (+15) \div (-3) = -5\) shows the opposite teams—fit #3 into +15, but the negative result means we arrive at -5 with a friendly reminder that dividing a positive by a negative yields a negative answer!