1. Problem: How to fairly divide 10 apples among 8 children so each child has the same share. 2. Formula: To divide equally, use division: share per child = total apples \div number of children. 3. Calculation: $$\text{Share per child} = \frac{10}{8} = \frac{5}{4} = 1.25$$ Each child gets 1.25 apples. 4. Explanation: Since 10 apples cannot be divided into whole apples equally among 8 children, each child receives 1 whole apple and a quarter of another apple. --- Next, match the letters in Column II with the products of numbers in Column I. For example, for 1. (6)(-12): $$6 \times (-12) = -72$$ Match with P -72. Calculations for all: 1. $6 \times (-12) = -72$ (P) 2. $(-13) \times (-13) = 169$ (U) 3. $19 \times (-17) = -323$ (K) 4. $(-15) \times 29 = -435$ (A) 5. $165 \times 0 = 0$ (M) 6. $(-18) \times (-15) = 270$ (C) 7. $(-15) \times (-20) = 300$ (E) 8. $(-5) \times (-5) \times (-5) = -125$ (J) 9. $(-2) \times (-2) \times (-2) \times (-2) = 16$ (L) 10. $4 \times 6 \times 8 = 192$ (I) --- Compute the following: 1. $(10 + 15) - 4 \times 3 + 7 \times (-2)$ Step 1: Calculate inside parentheses: $$10 + 15 = 25$$ Step 2: Multiply: $$4 \times 3 = 12$$ $$7 \times (-2) = -14$$ Step 3: Substitute and simplify: $$25 - 12 - 14 = 25 - 26 = -1$$ 2. $22 \times 9 \div (-6) - 5 \times 8$ Step 1: Multiply: $$22 \times 9 = 198$$ Step 2: Divide: $$\frac{198}{-6} = -33$$ Step 3: Multiply: $$5 \times 8 = 40$$ Step 4: Subtract: $$-33 - 40 = -73$$ 3. $36 \div 12 + 53 + (-30)$ Step 1: Divide: $$36 \div 12 = 3$$ Step 2: Add and subtract: $$3 + 53 - 30 = 56 - 30 = 26$$ 4. $(30 + 26) \div [(-2) \times 7]$ Step 1: Add inside parentheses: $$30 + 26 = 56$$ Step 2: Multiply inside brackets: $$(-2) \times 7 = -14$$ Step 3: Divide: $$\frac{56}{-14} = -4$$ 5. $(124 - 5 \times 12) \div 8$ Step 1: Multiply: $$5 \times 12 = 60$$ Step 2: Subtract: $$124 - 60 = 64$$ Step 3: Divide: $$\frac{64}{8} = 8$$ --- Final answers: 1. $-1$ 2. $-73$ 3. $26$ 4. $-4$ 5. $8$