This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Here are the solutions to the multiplication problems. The pattern used is that the bottom-right number (BR) is the product of the top-left (TL), top-right (TR), and bottom-left (BL) numbers: BR = TL × TR × BL. 1) Given: TL=3, TR=2, BL=9. Find BR. Step 1: Multiply the top-left, top-right, and bottom-left numbers. 3 × 2 × 9 Step 2: Perform the multiplication. 3 × 2 × 9 = 6 × 9 = 54 The missing number is 54. (Note: The student's written answer of 84 does not fit this pattern.) 2) Given: TL=2, TR=5, BL=2. Find BR. Step 1: Multiply the top-left, top-right, and bottom-left numbers. 2 × 5 × 2 Step 2: Perform the multiplication. 2 × 5 × 2 = 10 × 2 = 20 The missing number is 20. 3) Given: TL=8, TR=3, BL=4. Find BR. Step 1: Multiply the top-left, top-right, and bottom-left numbers. 8 × 3 × 4 Step 2: Perform the multiplication. 8 × 3 × 4 = 24 × 4 = 96 The missing number is 96. 4) Given: TL=7, TR=3, BL=5. Find BR. Step 1: Multiply the top-left, top-right, and bottom-left numbers. 7 × 3 × 5 Step 2: Perform the multiplication. 7 × 3 × 5 = 21 × 5 = 105 The missing number is 105. 5) Given: TL=2, BL=3, BR=24. Find TR. Step 1: Set up the equation based on the pattern: TL × TR × BL = BR. 2 × TR × 3 = 24 Step 2: Simplify the left side and solve for TR. 6 × TR = 24 TR = (24)/(6) = 4 The missing number is 4. 6) Given: TL=5, TR=5, BL=2. Find BR. Step 1: Multiply the top-left, top-right, and bottom-left numbers. 5 × 5 × 2 Step 2: Perform the multiplication. 5 × 5 × 2 = 25 × 2 = 50 The missing number is 50. 7) Given: TR=6, BL=2, BR=36. Find TL. Step 1: Set up the equation based on the pattern: TL × TR × BL = BR. TL × 6 × 2 = 36 Step 2: Simplify the left side and solve for TL. TL × 12 = 36 TL = (36)/(12) = 3 The missing number is 3. 8) Given: TL=4, TR=5, BR=400. Find BL. Step 1: Set up the equation based on the pattern: TL × TR × BL = BR. 4 × 5 × BL = 400 Step 2: Simplify the left side and solve for BL. 20 × BL = 400 BL = (400)/(20) = 20 The missing number is 20. 9) Given: TL=2, TR=5, BL=2. Find BR. Step 1: Multiply the top-left, top-right, and bottom-left numbers. 2 × 5 × 2 Step 2: Perform the multiplication. 2 × 5 × 2 = 10 × 2 = 20 The missing number is 20. (Note: This problem is identical to problem 2. The student's written answer of 5 does not fit this pattern.) 10) Given: TL=6, BL=2, BR=60. Find TR. Step 1: Set up the equation based on the pattern: TL × TR × BL = BR. 6 × TR × 2 = 60 Step 2: Simplify the left side and solve for TR. 12 × TR = 60 TR = (60)/(12) = 5 The missing number is 5. That's 2 down. 3 left today — send the next one.