# Long Multiplication Calculator

Calculate step-by-step long multiplication solution.

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Long multiplication is a method used to multiply larger numbers together. It involves breaking down the multiplication into smaller, manageable steps.

It enables you to multiply large numbers without relying on a calculator, as it can be carried out on paper.

This calculator enables you to perform long multiplication with both positive and negative numbers. Additionally, it can handle calculations involving decimal numbers.

## How to do Long Multiplication?

Step 1: Write the two numbers you want to multiply on top of each other, with the digits lined up properly. Let's say we're multiplying 24 by 12.

`24`
`× 12`

Step 2: Start with the rightmost digit of the bottom number (2) and multiply it by the top number digit on the right (4). Write the result below the line.

`24`
`× 12`

`48`

Step 3: Move one place to the left on the top number and repeat. Multiply the rightmost digit of the bottom number (1) by the top number digit on the left (2). Write the result below the line, leaving space in between.

`24`
`× 12`

`48`
`24`

Step 4: Add up the two results from Step 3. Write the sum below the line, making sure the numbers align properly.

`24`
`× 12`

`48`
`24`

`288`

## How to do Long Multiplication with Decimals?

Ignore the decimals in your calculation, but count the total number of them. Then place the decimal point in the answer by counting from the right.

Example 1: 10.51 × 12.72

`1051`
`× 1272`

`2102`
`7357 `
`2102  `
`+ 1051   `

`= 1336872`
Result = 133.6872 (4 decimal places in total)

Example 2: 54.2 × 17

`542`
`× 17`

`3794`
`+ 542 `

`= 9214`
Result = 921.4 (1 decimal place in total)

## How to do Long Multiplication with Negative Numbers?

If both numbers are negative or both are positive, the result will be positive.

Example: (-3) x (-4) = 12

If only one number is negative, the result will be negative.

Example: (-3) x 4 = -12 or 3 x (-4) = -12