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Questions and Answers
Factors are whole numbers that, when added together, result in the given number.
False
Multiples are whole numbers that can be obtained by dividing a given number by an integer.
False
Factors of 8 include 2 and 4.
True
Multiples of 10 are 5, 15, and 25.
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A word problem is a mathematical question that is presented in the form of a sentence or scenario.
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A bus has 50 passengers on it. If each passenger buys a $5 sandwich, the total cost will be $250.
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In a word problem involving multiplication, we usually need to add the numbers together.
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The factors of 15 are 1, 3, 5, and 15.
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The multiples of 7 include 14 and 21.
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If a school has 20 classes and each class has an average of 25 students, the total number of students is 400.
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Study Notes
Whole Numbers: Factors, Multiples, and Word Problems
Whole numbers, also referred to as integers, are the simplest yet fundamental category of numbers. They include the set of positive and negative counting numbers, such as 1, -2, 0, 5, and so on. Whole numbers play a crucial role in mathematics and daily life, as they form the basis for arithmetic operations like addition, subtraction, multiplication, and division.
Factors and Multiples
Factors are integral numbers that, when multiplied together, result in the given number. For example, the factors of 12 are 1, 2, 3, 4, 6, and 12, as 1 * 12 = 12, 2 * 6 = 12, 3 * 4 = 12, and so on.
Multiples, on the other hand, are whole numbers that can be obtained by multiplying a given number by an integer. For instance, the multiples of 5 are 5, 10, 15, 20, and so on.
Word Problems
Word problems are mathematical questions posed in the form of sentences or short scenarios that require us to apply arithmetic concepts to solve them. They tend to use real-world contexts, making them more relatable and engaging.
Here are some examples of whole number word problems:
- A bus has 60 passengers on it. If every passenger buys a sandwich for $3, how much will the total cost be?
Solution: 60 * $3 = $180
- A school has 12 classes, with an average of 20 students per class. How many students are there in total?
Solution: 12 * 20 = 240 students
- A group of friends is planning a trip to an amusement park. They want to buy 100 tickets at $15 each. If they have a budget of $1,500, how many tickets can they afford?
Solution: $1,500 / $15 = 100 tickets
In conclusion, whole numbers make up a fundamental part of mathematics, and they are used in a wide range of practical applications. By understanding factors and multiples, we can break down complex integers into simpler components and solve problems more efficiently. Word problems help us apply arithmetic concepts to real-life scenarios, making mathematics more engaging and relatable.
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Description
Test your knowledge of whole numbers, factors, multiples, and word problems with this quiz. Explore how factors and multiples relate to whole numbers and practice solving real-world scenarios using arithmetic concepts.
