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Chapter 2: Problem 3

List the first four multiples of the given number. $$10$$

Short Answer

Expert verified
The first four multiples of 10 are 10, 20, 30, and 40.

Step by step solution

01

Define the Number

The number given in this task is 10. We need to find the multiples of this number.
02

First Multiple

The first multiple of any number is found by multiplying it by 1. So, the first multiple of 10 is \(10 \times 1 = 10\).
03

Second Multiple

The second multiple of a number is found by multiplying it by 2. Hence, the second multiple of 10 is \(10 \times 2 = 20\).
04

Third Multiple

The third multiple of a number is determined by multiplying it by 3. In this case, the third multiple of 10 is \(10 \times 3 = 30\).
05

Fourth Multiple

The fourth multiple of a number is gotten by multiplying the number by 4. Thus, the fourth multiple of 10 is \(10 \times 4 = 40\).

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Math Multiples
Understanding math multiples is essential as it lays the foundation for various mathematical concepts. A multiple of a number is the product of that number and an integer. For instance, when we look at the multiples of 10, we start by simply multiplying 10 by 1, then 10 by 2, and so on.

In the exercise, we found the first four multiples of 10, which are 10, 20, 30, and 40. It's like counting by tens! Multiples are everywhere in math, from finding the least common multiple in fractions to solving problems in algebra. Remember, the multiples of a number are infinite, as we can keep multiplying the number by larger and larger integers.
Prealgebra
Prealgebra is all about introducing mathematical concepts that prepare students for algebra. These concepts include whole numbers, basic operations, and the understanding of multiples, like we discussed earlier.

For students just starting out, knowing how to find multiples is a key skill. It's about recognizing patterns and building a strong numeracy foundation. In our exercise, for example, we quickly notice that each successive multiple of 10 is just 10 more than the previous one, which is a pattern that helps in understanding larger mathematical concepts.
Introductory Algebra
When we step into the world of introductory algebra, we start working with variables, but the understanding of multiples remains important. In algebra, this basic understanding helps when dealing with more abstract concepts like factoring expressions or solving equations.

In the context of our exercise, think of the multiples of 10 as possible solutions to a simple equation such as '10x = 40'. To solve it, you'd need to know that 40 is a multiple of 10, which can be found when you multiply 10 by 4. This interconnection shows why grasping the concept of multiples is crucial for algebraic thinking.

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Most popular questions from this chapter

A factory worker can assemble a product in \(7 \frac{1}{2}\) min. How many products can the worker assemble in \(1 \mathrm{h} ?\)

Divide. $$8.919 \div 0.9$$

Evaluate the variable expression \(x-y\) for the given values of \(x\) and \(y.\) $$x=9 \frac{2}{15}, y=6 \frac{11}{15}$$

Draw a diagram that illustrates the addition of two fractions with the same denominator.

Find the GCF. $$14,42,84$$
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