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
Step 1: Find the remainder of 15 when divided by 8. 15 = 1 × 8 + 7 So, 15 7 ±od 8. Step 2: Find the remainder of 25 when divided by 8. 25 = 3 × 8 + 1 So, 25 1 ±od 8. Step 3: Multiply the remainders and find the result modulo 8. We need to find the value of (15 × 25) ±od 8. Using the property of modular arithmetic, (a × b) ±od m = ((a ±od m) × (b ±od m)) ±od m: (15 × 25) ±od 8 (7 × 1) ±od 8 (15 × 25) ±od 8 7 ±od 8 The value of 15 × 25 in (mod 8) is 7. 7 That's 2 down. 3 left today — send the next one.