Problem 590 - Prealgebra

Question

Simplify. $$634+255$$

Step-by-Step Solution

Answer

889

Step 1: Write down the numbers

Write down the numbers that need to be added: 634 and 255.

Step 2: Align the numbers by place value

Ensure the numbers are aligned by their ones, tens, and hundreds place to make addition easier. 634 +255

Step 3: Add the ones place

Add the digits in the ones place: 4 + 5 = 9. Write down 9 in the ones place.

Step 4: Add the tens place

Add the digits in the tens place: 3 + 5 = 8. Write down 8 in the tens place.

Step 5: Add the hundreds place

Add the digits in the hundreds place: 6 + 2 = 8. Write down 8 in the hundreds place.

Step 6: Combine the results

Combine the results of each place value to get the final answer: 889.

Key Concepts

Understanding Addition

Addition is one of the basic arithmetic operations. It involves finding the total or sum by combining two or more numbers. When we add, we start from the rightmost digit (ones place) and move towards the leftmost digit.
Addition helps in various daily activities such as calculating the total bill, finding the overall marks in exams, and more.

• Addition is commutative, meaning 3 + 5 is the same as 5 + 3.
• It is also associative, so (2 + 3) + 4 is the same as 2 + (3 + 4).

Let's explore addition further with the help of place value and a step-by-step approach.

Importance of Place Value

Place value is crucial in understanding arithmetic operations, especially addition. Each digit in a number has a value depending on its position. For example, in the number 634:

• 6 is in the hundreds place and represents 600.
• 3 is in the tens place and represents 30.
• 4 is in the ones place and represents 4.

When adding numbers, aligning them by place value ensures accuracy. For instance, in the exercise:
634
+ 255
The digits in each column (ones, tens, hundreds) are aligned, making the process straightforward.

Step-by-Step Solution for the Exercise

Here’s how we simplify the given exercise 634 + 255 using a step-by-step method:

Step 1: Write down the numbers. We place them one below the other: 634
+ 255

Step 2: Align the numbers by their place values to make addition easier.

Step 3: Add the ones place. Add the digits in the ones place, 4 and 5, which gives us 9. Write down 9 in the ones place.
Step 4: Add the tens place. Add the digits in the tens place, 3 and 5, which gives us 8. Write down 8 in the tens place.
Step 5: Add the hundreds place. Add the digits in the hundreds place, 6 and 2, which gives us 8. Write down 8 in the hundreds place.
Step 6: Combine the results. The final answer is 889. So, 634 + 255 = 889.
By following these steps, you can add any two numbers accurately.