Multiply Whole Numbers and Decimals

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What is multiplication?

Back

Multiplication is a mathematical operation that represents the process of adding a number to itself a certain number of times. For example, 3 multiplied by 4 (3 x 4) means adding 3 four times (3 + 3 + 3 + 3).

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What is the product of two numbers?

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The product is the result of multiplying two or more numbers together. For example, the product of 5 and 6 is 30 (5 x 6 = 30).

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How do you multiply whole numbers?

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To multiply whole numbers, align the numbers vertically, multiply each digit, and add the results, carrying over when necessary.

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What is a decimal?

Back

A decimal is a fraction expressed in a special form. It uses a decimal point to separate the whole number part from the fractional part. For example, 0.75 is a decimal.

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How do you multiply a whole number by a decimal?

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To multiply a whole number by a decimal, multiply as if there were no decimal, then count the total number of decimal places in both numbers and place the decimal in the product accordingly.

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What is the multiplication algorithm?

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The multiplication algorithm is a step-by-step method for multiplying numbers, which includes lining up the numbers, multiplying each digit, and adding the results.

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What is the associative property of multiplication?

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The associative property states that the way in which numbers are grouped in multiplication does not change the product. For example, (2 x 3) x 4 = 2 x (3 x 4).

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What is the commutative property of multiplication?

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The commutative property states that changing the order of the numbers in multiplication does not change the product. For example, 4 x 5 = 5 x 4.

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What is the identity property of multiplication?

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The identity property states that any number multiplied by 1 remains unchanged. For example, 7 x 1 = 7.

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What is a factor?

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A factor is a number that divides another number without leaving a remainder. For example, 2 and 3 are factors of 6.