Problem 20 - Basic College Mathematics

Question

Multiply by \(1,2,3,\) and so on, to find ten multiples of each number. $$ 50 $$

Step-by-Step Solution

Answer

50, 100, 150, 200, 250, 300, 350, 400, 450, 500

Step 1: Understand the Problem

To find the multiples of 50, we will multiply 50 by 1, 2, 3, and so on up to 10.

Step 2: Multiply by 1

Multiply 50 by 1: \[ 50 \times 1 = 50 \]

Step 3: Multiply by 2

Multiply 50 by 2: \[ 50 \times 2 = 100 \]

Step 4: Multiply by 3

Multiply 50 by 3: \[ 50 \times 3 = 150 \]

Step 5: Multiply by 4

Multiply 50 by 4: \[ 50 \times 4 = 200 \]

Step 6: Multiply by 5

Multiply 50 by 5: \[ 50 \times 5 = 250 \]

Step 7: Multiply by 6

Multiply 50 by 6: \[ 50 \times 6 = 300 \]

Step 8: Multiply by 7

Multiply 50 by 7: \[ 50 \times 7 = 350 \]

Step 9: Multiply by 8

Multiply 50 by 8: \[ 50 \times 8 = 400 \]

Step 10: Multiply by 9

Multiply 50 by 9: \[ 50 \times 9 = 450 \]

Step 11: Multiply by 10

Multiply 50 by 10: \[ 50 \times 10 = 500 \]

Key Concepts

Multiples

Understanding multiples is an important part of basic arithmetic. A multiple of a number is the product of that number and an integer. For example, the multiples of 50 are what you get when you multiply 50 by integers like 1, 2, 3, and so on. By knowing how to find multiples, you can solve many arithmetic problems. This exercise asked you to find the first ten multiples of 50. This means you multiply 50 by the numbers from 1 to 10.

Basic Arithmetic

Basic arithmetic involves simple mathematical operations like addition, subtraction, multiplication, and division. In this exercise, we used multiplication. Multiplication is simply adding a number to itself a certain number of times. For example, multiplying 50 by 2 is the same as adding 50 twice. Basic arithmetic is essential for solving many types of math problems and is foundational for more advanced topics.

Step-by-Step Solution

Breaking down problems into steps makes them easier to understand. This exercise was solved step-by-step:

• Understand the Problem: We first identified that we need to find the multiples of 50.


• Multiply by 1: 50 times 1 equals 50.


• Multiply by 2: 50 times 2 equals 100.


• Multiply by 3: 50 times 3 equals 150.


• Multiply by 4: 50 times 4 equals 200.


• Multiply by 5: 50 times 5 equals 250.


• Multiply by 6: 50 times 6 equals 300.


• Multiply by 7: 50 times 7 equals 350.


• Multiply by 8: 50 times 8 equals 400.


• Multiply by 9: 50 times 9 equals 450.


• Multiply by 10: 50 times 10 equals 500.

Each multiplication builds on the previous step and helps you make fewer errors by focusing on one calculation at a time.

Mathematical Operations

Mathematical operations like multiplication are essential for understanding and solving math problems. In this exercise, we focused on multiplication, represented by the \(\times\) symbol. The steps included multiplying 50 by each integer from 1 to 10. Knowing these operations lets you handle more complex math problems and also helps in everyday activities like calculating totals and costs.