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Formula

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Results

Product (a × b)
96
result of multiplication
First number (a) 12
Second number (b) 8
Operation a × b

What is the Multiplication Calculator?

The Multiplication Calculator finds the product of two numbers — that is, the result of multiplying one value by another. Multiplication is one of the four basic arithmetic operations and answers the question "how much is a groups of b?" or "a copies of b added together?" This tool handles whole numbers, decimals, and negative values, returning an exact product instantly.

How to use it

Enter your first number in the a field and your second number in the b field, then submit. The calculator multiplies them and displays the product along with a summary of the values you entered. You can use positive numbers, negative numbers, or decimals such as 3.5.

The formula explained

The formula is simply:

$$\text{product} = a \times b$$

Multiplication is commutative, which means the order does not matter: \(a \times b\) always equals \(b \times a\). Multiplying by 0 always gives 0, and multiplying by 1 leaves the number unchanged. Multiplying two negative numbers produces a positive result, while multiplying a positive and a negative number gives a negative result.

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Rectangular array of dots arranged in rows and columns illustrating multiplication as area
Multiplication shown as a rectangular array: a columns by b rows gives the product.

Worked example

Suppose you want to multiply 12 by 8. Using the formula: $$\text{product} = 12 \times 8 = 96.$$ If you sold 12 boxes that each contain 8 items, you would have 96 items in total.

Area model rectangle split to show a worked multiplication example
The worked example visualized as the area of a rectangle with sides a and b.

FAQ

Can I multiply decimals? Yes — enter values like 2.5 and 4.2 to get 10.5.

What happens if I multiply by zero? Any number multiplied by zero equals zero.

Does the order of the numbers matter? No. Because multiplication is commutative, \(a \times b\) gives the same answer as \(b \times a\).

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