Representing Multiplication

Front

What is multiplication?

Back

Multiplication is a mathematical operation that represents the repeated addition of a number. For example, 3 multiplied by 4 (3 x 4) means adding 3 four times: 3 + 3 + 3 + 3 = 12.

Front

What are factors in multiplication?

Back

Factors are the numbers that are multiplied together to get a product. For example, in the multiplication 6 x 4, both 6 and 4 are factors.

Front

What is a product in multiplication?

Back

The product is the result of multiplying two or more numbers together. For example, the product of 5 x 3 is 15.

Front

What is a partial product?

Back

A partial product is the result of multiplying a single digit of one factor by the entire other factor. For example, in 23 x 4, the partial products are 20 x 4 and 3 x 4.

Front

How do you represent multiplication using an array model?

Back

An array model represents multiplication as a set of rows and columns. For example, a 3 by 4 array shows 3 rows of 4 items each, representing 3 x 4 = 12.

Front

What is an area model in multiplication?

Back

An area model represents multiplication as the area of a rectangle. The length and width of the rectangle represent the factors being multiplied.

Front

What is the distributive property of multiplication?

Back

The distributive property states that a(b + c) = ab + ac. This means you can distribute the multiplication over addition.

Front

How do you find the product of two numbers using partial products?

Back

To find the product using partial products, break each number into its place values, multiply each pair of place values, and then add the results together.

Front

What is the relationship between multiplication and addition?

Back

Multiplication is repeated addition. For example, 4 x 3 is the same as adding 4 three times: 4 + 4 + 4 = 12.

Front

What does it mean to multiply by 10?

Back

Multiplying by 10 shifts the digits of a number one place to the left, effectively increasing its value by a factor of 10. For example, 5 x 10 = 50.