Problem 28 - Basic College Mathematics

Question

Multiply by \(1,2,3,\) and so on, to find ten multiples of each number. $$ 14 $$

Step-by-Step Solution

Answer

The first ten multiples of 14 are 14, 28, 42, 56, 70, 84, 98, 112, 126, and 140.

Step 1 - Understand the Task

To find ten multiples of 14, you need to multiply 14 by the integers 1 through 10.

Step 2 - Multiply by 1

Multiply 14 by 1: \[ 14 \times 1 = 14 \]

Step 3 - Multiply by 2

Multiply 14 by 2: \[ 14 \times 2 = 28 \]

Step 4 - Multiply by 3

Multiply 14 by 3: \[ 14 \times 3 = 42 \]

Step 5 - Multiply by 4

Multiply 14 by 4: \[ 14 \times 4 = 56 \]

Step 6 - Multiply by 5

Multiply 14 by 5: \[ 14 \times 5 = 70 \]

Step 7 - Multiply by 6

Multiply 14 by 6: \[ 14 \times 6 = 84 \]

Step 8 - Multiply by 7

Multiply 14 by 7: \[ 14 \times 7 = 98 \]

Step 9 - Multiply by 8

Multiply 14 by 8: \[ 14 \times 8 = 112 \]

Step 10 - Multiply by 9

Multiply 14 by 9: \[ 14 \times 9 = 126 \]

Step 11 - Multiply by 10

Multiply 14 by 10: \[ 14 \times 10 = 140 \]

Key Concepts

multiples

Understanding multiples is an important math concept. A multiple of a number is the product you get when you multiply that number by an integer. For instance, to find multiples of 14, you multiply 14 by 1, 2, 3, and so forth. Here are ten multiples of 14 to help you visualize:

• 14 x 1 = 14
• 14 x 2 = 28
• 14 x 3 = 42
• 14 x 4 = 56
• 14 x 5 = 70
• 14 x 6 = 84
• 14 x 7 = 98
• 14 x 8 = 112
• 14 x 9 = 126
• 14 x 10 = 140

That's it! By multiplying 14 by the integers from 1 to 10, you get these multiples. This concept is easy to apply to any number you aim to find multiples for.

basic arithmetic

Basic arithmetic is the foundation of all mathematics. It includes operations like addition, subtraction, multiplication, and division. Multiplication is one of the key operations you'll use often. When working with multiplication, you take two numbers, called factors, and combine them to get a product.
For example, in our exercise:

• The factors are 14 and 3 (or any number you multiply with 14).
• The product is 42 (when multiplying 14 by 3).

Knowing how to multiply is essential for more advanced math topics. Practice these operations regularly to strengthen your arithmetic skills.

mathematics practice

Consistent practice is key to mastering mathematics. By working through problems, you get familiar with different methods and strategies. Let’s look at how practicing multiplication helps:

• Improves your mental arithmetic skills.
• Helps in learning to recognize patterns among numbers.
• Builds confidence in tackling more complex math problems.

In our example:

• First, we understood the problem – finding multiples of 14.
• Next, we multiplied 14 by numbers from 1 to 10.

By repeating these steps, you become more efficient and accurate. Add multiplication exercises to your daily routine to keep your skills sharp and ready for any math challenge!