Long Multiplication: 460 × 9
What is 460 × 9?
Answer
460 × 9 and 9 × 460 are the same product — the order of the factors never changes the answer, only the working. Below, 460 is multiplied by 9 in a column, digit by digit.
460 × 9 in a Column
The multiplicand goes on top, the multiplier underneath, both aligned on the right. The multiplier has a single digit, so there is one partial product and the answer goes straight under the line.
| 4 | 6 | 0 | ||
| × | 9 | |||
| 4 | 1 | 4 | 0 |
Step-by-Step Solution
Step 1: Multiply the multiplicand by the last digit of the multiplier, 9: 460 × 9 = 4,140.
- 0 × 9 = 0. Write 0.
- 6 × 9 = 54. Write 4 and carry 5.
- 4 × 9 = 36, plus the carried 5 makes 41. Write 1 and carry 4.
- No digits are left, so the carried 4 is written in front: the partial product is 4,140.
460 × 9
=4,140
Check It, and What It Is Not
Check by dividing back. Multiplication and division undo each other, so 4,140 ÷ 9 = 460 must come out exactly, with no remainder.
Fractions are a different calculation. Both factors here are whole numbers; for 2/3 or 2 3/4 use the fraction multiplication calculator, which multiplies numerators and denominators separately.
460 × 9 is a number, not an area. If those are the sides of a room in feet, the answer is 4,140 square feet — the same arithmetic, a different question, and it is answered by the square footage calculator.
See Also
- Long Division Calculator - Step-by-step long division with detailed explanation
- Multiplying Fractions Calculator - Multiply fractions, mixed numbers and whole numbers step by step
- Factors of a Number - List all Factors and Factor Pairs of a Number
- Greatest Common Factor - Find the Greatest Common Factor (GCF) of two numbers
- Least Common Multiple - Find the Least Common Multiple (LCM) of two numbers
<a href="https://calculat.io/en/number/long-multiplication/460--9">460 × 9 = 4,140 - Long Multiplication - Calculatio</a>