Check: 75 × 0.4 = 30, 30 × 3 / 8 = 11.25 — not integer

Mon, 20 Apr 2026 04:25:55 +0000

Understanding Why 75 × 0.4 = 30 and 30 × 3 ÷ 8 ≠ Integer: A Clear Explanation When dealing with decimal multiplication, even simple equations can reveal important insights about precision, rounding, and mathematical truth. Take the example:
75 × 0.4 = 30 — this is exactly correct. But continuing with,
30 × 3 ÷ 8 = 11.25, which is not an integer, raises important questions about computation and representation in arithmetic. ### The First Calculation: 75 × 0.4 = 30 Multiplying 75 by 0.4 is straightforward:
0.4 is equivalent to 2⁄5, so:
75 × 0.4 = 75 × (2/5) = 150/5 = 30
This result is exact, accurate, and verifiably an integer.