Problem 24 - Basic College Mathematics

Question

Multiply by \(1,2,3,\) and so on, to find ten multiples of each number. $$ 13 $$

Step-by-Step Solution

Answer

The ten multiples of 13 are: 13, 26, 39, 52, 65, 78, 91, 104, 117, and 130.

Step 1: Calculate 13 multiplied by 1

To find the first multiple of 13, multiply 13 by 1.\(13 \times 1 = 13\)

Step 2: Calculate 13 multiplied by 2

To find the second multiple of 13, multiply 13 by 2.\(13 \times 2 = 26\)

Step 3: Calculate 13 multiplied by 3

To find the third multiple of 13, multiply 13 by 3.\(13 \times 3 = 39\)

Step 4: Calculate 13 multiplied by 4

To find the fourth multiple of 13, multiply 13 by 4.\(13 \times 4 = 52\)

Step 5: Calculate 13 multiplied by 5

To find the fifth multiple of 13, multiply 13 by 5.\(13 \times 5 = 65\)

Step 6: Calculate 13 multiplied by 6

To find the sixth multiple of 13, multiply 13 by 6.\(13 \times 6 = 78\)

Step 7: Calculate 13 multiplied by 7

To find the seventh multiple of 13, multiply 13 by 7.\(13 \times 7 = 91\)

Step 8: Calculate 13 multiplied by 8

To find the eighth multiple of 13, multiply 13 by 8.\(13 \times 8 = 104\)

Step 9: Calculate 13 multiplied by 9

To find the ninth multiple of 13, multiply 13 by 9.\(13 \times 9 = 117\)

Step 10: Calculate 13 multiplied by 10

To find the tenth multiple of 13, multiply 13 by 10.\(13 \times 10 = 130\)

Key Concepts

multiplication

Multiplication is one of the four basic arithmetic operations. It involves adding a number to itself a certain number of times. For example, when you multiply 13 by 2, it means adding 13 twice: \(13 + 13 = 26\). This is written as \(13 \times 2 = 26\). The result of the multiplication is known as the product. Using multiplication tables can help you remember these products more quickly and make it easier to solve math problems without having to always add repeatedly.

basic arithmetic

Basic arithmetic is the foundation of all mathematics. It includes addition, subtraction, multiplication, and division. These operations are crucial for everyday calculations and more advanced math problems. Understanding basic arithmetic allows us to solve complex equations, work with fractions, and even understand higher-level concepts like algebra and calculus.
Let's break these operations down:

• Addition involves combining numbers to get a total sum.
• Subtraction is taking away one number from another.
• Multiplication is repeated addition.
• Division is splitting a number into equal parts.

Mastering basic arithmetic helps build confidence and skills needed for further mathematical learning.

number sequences

A number sequence is a list of numbers arranged in a specific order. For example, the multiples of 13 form a number sequence: 13, 26, 39, 52, 65, 78, 91, 104, 117, and 130. Each of these numbers is a product of 13 and a whole number from 1 to 10. Recognizing patterns in sequences helps us predict future numbers and understand mathematical relationships better.
Working with sequences:

• Identify the rule that governs the pattern (e.g., multiplying by 13).
• Use this rule to find the next numbers in the sequence.

This skill is helpful in various math problems, making it easier to work with series, solve for unknowns, and understand the structure of more complex mathematical systems.