Adding the Hundredths Place

Oct 13, 2025 by miodeya.com 126 views

469.368 + 76.438 + 5.679: A Step-by-Step Guide to Solving Basic Arithmetic Operations

In this article, we will delve into the world of basic arithmetic operations, specifically addition, and explore how to solve a simple problem step by step. We will use the example of adding three numbers: 469.368, 76.438, and 5.679. By breaking down the problem into manageable steps, we will demonstrate how to arrive at the correct solution.

Understanding the Problem

Before we begin, let's take a closer look at the problem at hand. We are tasked with adding three decimal numbers: 469.368, 76.438, and 5.679. To solve this problem, we will need to follow the order of operations, which dictates that we perform addition from left to right.

Step 1: Line Up the Numbers

The first step in solving this problem is to line up the numbers vertically, making sure that the decimal points are aligned. This will help us to perform the addition accurately.

469.368

76.438
5.679

Step 2: Add the Numbers

Now that the numbers are lined up, we can begin adding them together. We will start by adding the numbers in the hundredths place, then move on to the tenths place, and finally add the ones place.

Adding the Hundredths Place

In the hundredths place, we have 8 + 8 + 9. To add these numbers, we need to consider the place value of each digit. The 8 in the first number represents 0.08, the 8 in the second number represents 0.08, and the 9 in the third number represents 0.09. When we add these numbers together, we get 0.25.

Adding the Tenths Place

Next, we move on to the tenths place. We have 6 + 4 + 5. To add these numbers, we need to consider the place value of each digit. The 6 in the first number represents 0.6, the 4 in the second number represents 0.4, and the 5 in the third number represents 0.5. When we add these numbers together, we get 1.5.

Adding the Ones Place

Finally, we add the ones place. We have 9 + 7 + 5. To add these numbers, we need to consider the place value of each digit. The 9 in the first number represents 9, the 7 in the second number represents 7, and the 5 in the third number represents 5. When we add these numbers together, we get 21.

Adding the Decimal Places

Now that we have added the ones place, we need to add the decimal places. We have 0.25 + 1.5 + 0.21. To add these numbers, we need to consider the place value of each digit. The 0.25 represents 0.25, the 1.5 represents 1.5, and the 0.21 represents 0.21. When we add these numbers together, we get 2.01.

In conclusion, by following the order of operations and breaking down the problem into manageable steps, we were able to arrive at the correct solution. The final answer is 551.507.

When adding decimal numbers, make sure to line up the decimal points.
When adding numbers in the same place value, make sure to consider the place value of each digit.
When adding numbers in different place values, make sure to add the numbers in the correct order.

Not lining up the decimal points when adding decimal numbers.
Not considering the place value of each digit when adding numbers in the same place value.
Not adding the numbers in the correct order when adding numbers in different place values.

Adding decimal numbers is a common operation in finance, where you need to calculate the total cost of an item or the total amount of money in a bank account.
Adding decimal numbers is also a common operation in science, where you need to calculate the total amount of a substance or the total amount of energy released in a reaction.

In conclusion, adding decimal numbers is a simple operation that requires attention to detail and a clear understanding of the order of operations. By following the steps outlined in this article, you should be able to add decimal numbers with confidence and accuracy.
469.368 + 76.438 + 5.679: A Step-by-Step Guide to Solving Basic Arithmetic Operations

Q: What is the order of operations when adding decimal numbers?

A: The order of operations when adding decimal numbers is to line up the decimal points, add the numbers in the same place value, and then add the numbers in different place values.

Q: How do I line up the decimal points when adding decimal numbers?

A: To line up the decimal points, make sure that the decimal points are aligned vertically. This will help you to perform the addition accurately.

Q: What is the place value of each digit when adding decimal numbers?

A: The place value of each digit when adding decimal numbers is as follows:

The digit in the hundredths place represents 0.01.
The digit in the tenths place represents 0.1.
The digit in the ones place represents 1.

Q: How do I add numbers in the same place value when adding decimal numbers?

A: To add numbers in the same place value, make sure to consider the place value of each digit. For example, when adding 0.08 + 0.08 + 0.09, you need to consider the place value of each digit and add the numbers together.

Q: How do I add numbers in different place values when adding decimal numbers?

A: To add numbers in different place values, make sure to add the numbers in the correct order. For example, when adding 0.25 + 1.5 + 0.21, you need to add the numbers in the correct order and consider the place value of each digit.

Q: What are some common mistakes to avoid when adding decimal numbers?

A: Some common mistakes to avoid when adding decimal numbers include:

Not lining up the decimal points.
Not considering the place value of each digit.
Not adding the numbers in the correct order.

Q: What are some real-world applications of adding decimal numbers?

A: Some real-world applications of adding decimal numbers include:

Calculating the total cost of an item or the total amount of money in a bank account.
Calculating the total amount of a substance or the total amount of energy released in a reaction.

Q: How can I practice adding decimal numbers?

A: You can practice adding decimal numbers by using online resources, such as math worksheets or online calculators. You can also practice adding decimal numbers by using real-world examples, such as calculating the total cost of an item or the total amount of money in a bank account.

Q: What are some tips for adding decimal numbers?

A: Some tips for adding decimal numbers include:

Make sure to line up the decimal points.
Make sure to consider the place value of each digit.
Make sure to add the numbers in the correct order.

In conclusion, adding decimal numbers is a simple operation that requires attention to detail and a clear understanding of the order of operations. By following the steps outlined in this article and practicing adding decimal numbers, you should be able to add decimal numbers with confidence and accuracy.