More Multiplication Study Guide

Understanding Multiplication

Multiplication is a fundamental operation in mathematics that involves repeated addition. When we multiply two numbers, we are finding the total of adding one number to itself a certain number of times.

Multiplication Properties

There are several important properties of multiplication, including the commutative property (changing the order of the factors does not change the product), the associative property (changing the grouping of the factors does not change the product), and the distributive property (multiplication distributes over addition).

Multiplication Strategies

There are various strategies to help with multiplication, including using arrays, drawing pictures, using repeated addition, and memorizing multiplication facts.

Multiplication Facts

It's essential to memorize multiplication facts to make mental math and problem-solving easier. These include facts from 0 to 12, such as 3 x 4 = 12 and 7 x 8 = 56.

Multiplying Larger Numbers

When multiplying larger numbers, it's important to understand the place value and use the standard algorithm to find the product. This involves multiplying each digit in one number by each digit in the other number and then adding the partial products together.

Word Problems Involving Multiplication

Word problems are a great way to apply multiplication to real-life situations. It's important to identify the key information, choose the correct operation, and solve for the unknown using multiplication.

Practice Exercises

To master multiplication, it's essential to practice regularly. Use flashcards, worksheets, online games, and real-life scenarios to reinforce multiplication skills.

◂Math Worksheets and Study Guides Fourth Grade. More 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.

Grade 4 Curriculum Focal Points (NCTM)

Number and Operations and Algebra: Developing quick recall of multiplication facts and related division facts and fluency with whole number multiplication

Students use understandings of multiplication to develop quick recall of the basic multiplication facts and related division facts. They apply their understanding of models for multiplication (i.e., equal-sized groups, arrays, area models, equal intervals on the number line), place value, and properties of operations (in particular, the distributive property) as they develop, discuss, and use efficient, accurate, and generalizable methods to multiply multi-digit whole numbers. They select appropriate methods and apply them accurately to estimate products or calculate them mentally, depending on the context and numbers involved. They develop fluency with efficient procedures, including the standard algorithm, for multiplying whole numbers, understand why the procedures work (on the basis of place value and properties of operations), and use them to solve problems.