Using the Commutative Property of Multiplication

Oct 13, 2025 by miodeya.com 24 views

Understanding the Problem

To find the product of two numbers, we need to multiply them together. In this case, we are asked to find the product of 4 and 90. Multiplication is a basic arithmetic operation that involves finding the result of adding a number a certain number of times. In this case, we need to add 4 together 90 times.

Breaking Down the Problem

Let's break down the problem step by step. We know that 4 is a small number, and 90 is a larger number. To find the product, we need to multiply 4 by 90. Multiplication can be thought of as repeated addition. So, we can think of this problem as adding 4 together 90 times.

Finding the Product

To find the product, we can use the multiplication symbol (×) to represent the operation. So, the product of 4 and 90 can be written as:

4 × 90

Using the Commutative Property of Multiplication

The commutative property of multiplication states that the order of the numbers being multiplied does not change the result. In other words, the product of 4 and 90 is the same as the product of 90 and 4. This property can be written as:

4 × 90 = 90 × 4

Using the Associative Property of Multiplication

The associative property of multiplication states that the order in which we multiply numbers does not change the result. In other words, the product of 4, 90, and any other number is the same regardless of the order in which we multiply them. This property can be written as:

(4 × 90) × 2 = 4 × (90 × 2)

Finding the Product Using the Multiplication Table

We can also use the multiplication table to find the product of 4 and 90. The multiplication table is a chart that shows the product of two numbers for all possible combinations of numbers. In this case, we can use the multiplication table to find the product of 4 and 90.

Finding the Product Using the Formula

We can also use the formula for multiplication to find the product of 4 and 90. The formula for multiplication is:

a × b = a × b

In this case, we can plug in the values of a and b to find the product.

Calculating the Product

To calculate the product, we can multiply 4 by 90. We can use the multiplication symbol (×) to represent the operation. So, the product of 4 and 90 can be written as:

4 × 90 = 360

Conclusion

In conclusion, the product of 4 and 90 is 360. This can be found using the multiplication table, the formula for multiplication, or by simply multiplying 4 by 90.

Answer

The correct answer is B. 360.

Discussion

This problem is a basic arithmetic operation that involves finding the result of adding a number a certain number of times. It requires the use of the multiplication symbol (×) to represent the operation, as well as the commutative and associative properties of multiplication. The product of 4 and 90 can be found using the multiplication table, the formula for multiplication, or by simply multiplying 4 by 90.

Understanding Multiplication

Multiplication is a basic arithmetic operation that involves finding the result of adding a number a certain number of times. It is a fundamental concept in mathematics that is used to solve a wide range of problems.

Q: What is the product of 4 and 90?

A: The product of 4 and 90 is 360.

Q: What is the commutative property of multiplication?

A: The commutative property of multiplication states that the order of the numbers being multiplied does not change the result. In other words, the product of 4 and 90 is the same as the product of 90 and 4.

Q: What is the associative property of multiplication?

A: The associative property of multiplication states that the order in which we multiply numbers does not change the result. In other words, the product of 4, 90, and any other number is the same regardless of the order in which we multiply them.

Q: How do I find the product of two numbers?

A: To find the product of two numbers, you can use the multiplication symbol (×) to represent the operation. You can also use the multiplication table or the formula for multiplication to find the product.

Q: What is the formula for multiplication?

A: The formula for multiplication is:

a × b = a × b

Q: How do I use the multiplication table to find the product of two numbers?

A: To use the multiplication table to find the product of two numbers, you can look up the product of the two numbers in the table. The multiplication table is a chart that shows the product of two numbers for all possible combinations of numbers.

Q: What is the difference between multiplication and addition?

A: Multiplication and addition are two different arithmetic operations. Addition involves finding the sum of two or more numbers, while multiplication involves finding the product of two or more numbers.

Q: Why is multiplication important?

A: Multiplication is an important concept in mathematics because it is used to solve a wide range of problems. It is used in finance, science, engineering, and many other fields.

Q: How do I practice multiplication?

A: You can practice multiplication by using flashcards, playing multiplication games, or doing multiplication problems on a worksheet.

Q: What are some real-world examples of multiplication?

A: Some real-world examples of multiplication include:

A store has 4 shelves, and each shelf has 90 books. How many books are there in total?
A farmer has 4 fields, and each field has 90 acres of land. How many acres of land does the farmer have in total?
A company has 4 departments, and each department has 90 employees. How many employees does the company have in total?

Q: How do I teach multiplication to my child?

A: You can teach multiplication to your child by using real-world examples, playing multiplication games, and doing multiplication problems together.

Q: What are some common mistakes to avoid when teaching multiplication?

A: Some common mistakes to avoid when teaching multiplication include:

Not using real-world examples to illustrate the concept of multiplication
Not providing enough practice opportunities for your child to master the concept of multiplication
Not using visual aids, such as multiplication charts or diagrams, to help your child understand the concept of multiplication

Q: How do I know if my child understands multiplication?

A: You can know if your child understands multiplication by asking them to solve multiplication problems, using real-world examples to illustrate the concept, and providing feedback and encouragement as they practice and master the concept.

Q: What are some resources for learning multiplication?

A: Some resources for learning multiplication include:

Textbooks and workbooks
Online multiplication games and activities
Multiplication charts and diagrams
Real-world examples and applications of multiplication

Q: How do I use technology to teach multiplication?

A: You can use technology to teach multiplication by using online multiplication games and activities, creating multiplication charts and diagrams using software, and using real-world examples and applications of multiplication to illustrate the concept.

Q: What are some benefits of using technology to teach multiplication?

A: Some benefits of using technology to teach multiplication include:

Increased engagement and motivation
Improved understanding and retention of the concept
Access to a wide range of resources and activities
Ability to track progress and provide feedback

Q: How do I know if my child is ready to learn multiplication?

A: You can know if your child is ready to learn multiplication by assessing their understanding of addition and subtraction, providing opportunities for them to practice and master the concept, and using real-world examples and applications of multiplication to illustrate the concept.

Q: What are some common challenges to teaching multiplication?

A: Some common challenges to teaching multiplication include:

Difficulty understanding the concept of multiplication
Struggling to apply the concept to real-world examples
Limited practice opportunities
Difficulty using technology to teach multiplication

Q: How do I overcome these challenges?

A: You can overcome these challenges by providing additional practice opportunities, using real-world examples and applications of multiplication to illustrate the concept, and using technology to make the learning process more engaging and interactive.