Even and odd numbers
Number systems · Mathematics
Study notes
Q: Check: (a) Is 47 odd? (b) odd + odd? (c) 6 × 7? Step 1: 47 = 2×23 + 1 → odd. ✓ Step 2: odd + odd = even. Example: 3 + 5 = 8. Always true: (2a+1)+(2b+1) = 2(a+b+1), divisible by 2. Step 3: 6 × 7: one factor even → product even. 42 is even. ✓