Multiplication is a basic arithmetic operation that involves repeated addition. When you multiply two numbers, you are finding the total value of a certain number of groups of the other number. The basic symbol for multiplication is "x", for example, 3 x 4 means 3 groups of 4.

Multiplication Table

It's important to learn the multiplication table as it forms the foundation for understanding multiplication. The multiplication table shows the products of multiplying two numbers from 1 to 10. Here's an example of a multiplication table:

	1	2	3	4	5	6	7	8	9	10
1	1	2	3	4	5	6	7	8	9	10
2	2	4	6	8	10	12	14	16	18	20

Basic Multiplication Rules

When multiplying numbers, there are a few key rules to keep in mind:

Commutative Property: The order of the numbers does not affect the product. For example, 3 x 4 is the same as 4 x 3.
Associative Property: The grouping of the numbers does not affect the product. For example, (2 x 3) x 4 is the same as 2 x (3 x 4).
Distributive Property: Multiplication distributes over addition. For example, 2 x (3 + 4) is the same as (2 x 3) + (2 x 4).

Practice Problems

Now that you understand the basics of multiplication, it's important to practice to reinforce your skills. Here are some practice problems to get you started:

Calculate the product: 5 x 8 =
Calculate the product: 7 x 3 =
Calculate the product: 4 x 9 =

Once you've completed these problems, you can check your answers below:

Remember to practice regularly and refer back to the multiplication table to strengthen your multiplication skills!

◂Math Worksheets and Study Guides Fifth Grade. Multiplication

Vocabulary/Answer key

Multiplication

The resources above cover the following skills:

Number and Operations (NCTM)

Compute fluently and make reasonable estimates.

Develop fluency in adding, subtracting, multiplying, and dividing whole numbers.

Select appropriate methods and tools for computing with whole numbers from among mental computation, estimation, calculators, and paper and pencil according to the context and nature of the computation and use the selected method or tools.

Algebra (NCTM)

Use mathematical models to represent and understand quantitative relationships.

Model problem situations with objects and use representations such as graphs, tables, and equations to draw conclusions.

Connections to the Grade 5 Focal Points (NCTM)

Number and Operations: Building on their work in grade 4, students extend their understanding of place value to numbers through millions and millionths in various contexts. They apply what they know about multiplication of whole numbers to larger numbers. Students also explore contexts that they can describe with negative numbers (e.g., situations of owing money or measuring elevations above and below sea level).