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
A. 7 × (1)/(3) Step 1: Draw a number line starting from 0. Mark intervals of (1)/(3) . 7 × (1)/(3) Step 2: Start at 0. Make 7 jumps of (1)/(3) each. After 1 jump: 0 + (1)/(3) = (1)/(3) After 2 jumps: (1)/(3) + (1)/(3) = (2)/(3) After 3 jumps: (2)/(3) + (1)/(3) = (3)/(3) = 1 After 4 jumps: 1 + (1)/(3) = (4)/(3) After 5 jumps: (4)/(3) + (1)/(3) = (5)/(3) After 6 jumps: (5)/(3) + (1)/(3) = (6)/(3) = 2 After 7 jumps: 2 + (1)/(3) = (7)/(3) Final answer: (7)/(3) B. 3 × (1)/(5) Step 1: Draw a number line starting from 0. Mark intervals of (1)/(5) . 3 × (1)/(5) Step 2: Start at 0. Make 3 jumps of (1)/(5) each. After 1 jump: 0 + (1)/(5) = (1)/(5) After 2 jumps: (1)/(5) + (1)/(5) = (2)/(5) After 3 jumps: (2)/(5) + (1)/(5) = (3)/(5) Final answer: (3)/(5) C. 2 × (1)/(10) Step 1: Draw a number line starting from 0. Mark intervals of (1)/(10) . 2 × (1)/(10) Step 2: Start at 0. Make 2 jumps of (1)/(10) each. After 1 jump: 0 + (1)/(10) = (1)/(10) After 2 jumps: (1)/(10) + (1)/(10) = (2)/(10) = (1)/(5) Final answer: (1)/(5) D. 4 × (1)/(2) Step 1: Draw a number line starting from 0. Mark intervals of (1)/(2) . 4 × (1)/(2) Step 2: Start at 0. Make 4 jumps of (1)/(2) each. After 1 jump: 0 + (1)/(2) = (1)/(2) After 2 jumps: (1)/(2) + (1)/(2) = (2)/(2) = 1 After 3 jumps: 1 + (1)/(2) = (3)/(2) After 4 jumps: (3)/(2) + (1)/(2) = (4)/(2) = 2 Final answer: 2