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[Virtual Presenter] Here is the rewritten text: Whole numbers are the set of non-negative numbers, including zero, that are used to count and measure quantities. They are the foundation of mathematics and are used in various aspects of life, such as finance, science, and technology. Whole numbers are essential in mathematics because they allow us to represent and compare quantities, perform calculations, and solve problems. They are used in various mathematical operations, such as addition, subtraction, multiplication, and division. The properties of whole numbers include the commutative, associative, and distributive properties. These properties will help us understand how whole numbers behave when performing mathematical operations. We will learn about the different operations that can be performed with whole numbers, including addition, subtraction, multiplication, and division. We will also explore the order of operations and how to apply them when solving mathematical problems. Whole numbers are used in real-world applications, such as finance, science, and technology. Examples of how whole numbers are used to solve problems and make decisions in various fields will be explored. In conclusion, whole numbers are a fundamental concept in mathematics that have numerous applications in real-world scenarios. Understanding whole numbers is essential for building a strong foundation in mathematics and solving problems effectively. Assessment will be based on your understanding of the concepts covered in this course. You will be required to complete assignments, quizzes, and a final exam to demonstrate your knowledge and skills in working with whole numbers. For further reading and additional resources, please refer to the recommended textbooks and online resources listed below. The course outline is as follows: * Introduction to whole numbers * Properties of whole numbers * Operations with whole numbers * Real-world applications of whole numbers * Assessment We will cover each topic in detail, and you will have the opportunity to ask questions and clarify any doubts you may have throughout the course. To get started, please ensure you have the necessary materials and resources. Make sure you have a calculator, a pencil, and a notebook. We will also use online resources and multimedia materials to supplement our learning. We will work together as a class to solve problems and complete assignments. You are encouraged to ask questions, share your thoughts, and collaborate with your peers. Effective communication is essential in mathematics, and we will practice this skill throughout the course. Academic integrity is essential in this course. You are expected to complete your own work and avoid plagiarism. If you are unsure about any aspect of academic integrity, please consult with me or your peers. If you have any questions or concerns, please do not hesitate to reach out to me. My contact information is as follows: * Email: ms smith @ school edu * Phone: 555 1234 * Office Hours: Monday to Friday, 9 00 am to 4 00 pm I look forward to working with you throughout this course. Let us begin our journey through the world of whole numbers!.

[Audio] The whole numbers are the set of numbers that start from zero and go on indefinitely in the positive direction. They include all the natural numbers such as 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, and so on. These numbers do not include negative numbers or decimals. When we list these numbers, they can appear to repeat, but each number is unique. For example, the number 4 appears twice in the list, but it is still considered only one whole number. We can also represent whole numbers using symbols such as 0, 1, 2, etc. The whole numbers start from zero and go on forever, and they do not include negative numbers or decimals..

[Audio] The concept of place value is essential when dealing with whole numbers. Expanded form of a number like 4,502,319 breaks down into individual digits with their respective place values. Each digit has its own place value - thousands, hundreds, tens, ones, etc. By understanding these place values, we can easily add, subtract, multiply, and divide large numbers. A place value chart provides a quick way to determine the place value of any digit within a number. For example, looking at the number 4,502,319, we can identify the place value of each digit. The 9 is in the ones place, the 1 is in the tens place, the 3 is in the hundreds place, the 2 is in the thousands place, and the 5 is in the millions place. This breakdown makes it easier to perform arithmetic operations. Mastering the concept of place value and expanded form enables students to tackle challenging math problems with confidence..

[Audio] The whole number 17 is greater than the whole number 5. This means that 17 is larger than 5. The whole number 17 is also greater than the whole number 3. Similarly, 17 is greater than 3. In fact, 17 is greater than every whole number less than 17. All these numbers are smaller than 17. Therefore, we can conclude that 17 is a greater-than number..

[Audio] ## Step 1: Count the digits in each number Both numbers have five digits. ## Step 2: Compare the digits in the same place value positions The "ten thousands", "thousands", and "hundreds" are the same for both numbers - four, five, and three. However, in the "tens" place, nine is greater than zero. ## Step 3: Determine which number is greater Since nine is greater than zero, 45,391 is greater than 45,302. The final answer is: $\boxed$.

[Audio] The factors of a number are the numbers that divide it evenly without leaving a remainder. The multiples of a number are the products obtained when that number is multiplied by an integer. Prime numbers have exactly one factor, which is always 1. Composite numbers have more than one factor. The relationship between factors and multiples is closely related to the properties of prime and composite numbers. Understanding these concepts is essential for solving problems involving whole numbers..

[Audio] The properties of operations are rules that help us solve problems involving multiple mathematical operations. These rules make mental math and algebra much easier. They include commutativity, associativity, and distributivity. Commutativity means that the order of the numbers doesn't change the result. For example, 3 + 4 = 4 + 3. Associativity means that when we have three or more numbers, the way we group them doesn't matter. For instance, 2 + (3 + 4) = (2 + 3) + 4. Distributivity means that we can distribute a single operation to multiple numbers. For example, 2(3 + 4) = 2 * 3 + 2 * 4. These rules may seem simple, but they're essential for solving equations and performing calculations quickly and accurately. By understanding and applying these properties, you'll become proficient in handling complex mathematical expressions..

[Audio] BODMAS is an acronym that stands for the order in which we perform mathematical operations when there are multiple operations in an expression. It helps us to avoid confusion and ensure that calculations are correctly done. First, we look for brackets. These contain numbers or expressions that need to be evaluated first. Next, we check for exponents or orders. This means any numbers raised to a power, such as squaring or cubing. After that, we move on to division and multiplication. These operations are performed from left to right. Finally, we do any addition and subtraction. Again, these operations are performed from left to right. By following this order, we can simplify complex expressions and arrive at accurate results. So, let's practice using BODMAS to solve some examples..

[Audio] The teacher gave us a new assignment to work on during our free period. The task was to create a short story using only words that started with the letter "Q". We were given a list of words that started with the quality letter, but no other letters. I found it challenging to write a coherent narrative using only these words. However, I managed to craft a quirky little tale that explored themes of quiet contemplation and questioning the status quo. My story was met with enthusiasm from my peers, who appreciated its quirkiness and uniqueness. They even suggested some alternative words to add more variety to the story. Overall, the experience was quite enjoyable, as I got to explore my creativity and push myself outside of my comfort zone. I learned that sometimes, constraints can be beneficial in sparking imagination and innovation..