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Chapter 1: Problem 23

Add the whole numbers with carrying. $$\begin{array}{r} 658 \\ +231 \\ \hline \end{array}$$

Short Answer

Expert verified
The answer is 889.

Step by step solution

01

Add the Units Place

Start by adding the numbers in the units place: 8 + 1 = 9. Write 9 in the units place of the answer.
02

Add the Tens Place

Next, add the numbers in the tens place: 5 + 3 = 8. Write 8 in the tens place of the answer.
03

Add the Hundreds Place

Finally, add the numbers in the hundreds place: 6 + 2 = 8. Write 8 in the hundreds place of the answer.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Whole Numbers
Whole numbers are the set of numbers that include all the natural numbers and zero. In simpler terms, they do not contain fractions, decimals, or negative numbers. Examples of whole numbers are 0, 1, 2, 3, 4, and so on. Understanding whole numbers is essential because they form the basis for more complex arithmetic operations. In the exercise provided, we are dealing with whole numbers: 658 and 231. These numbers are made up of digits representing different place values, and their addition requires a systematic approach.
Place Value
Place value is a fundamental concept that helps us understand the value of each digit in a number. Each position in a number has a different value. For example, in the number 658:
- The digit 8 is in the units place and represents 8 ones.
- The digit 5 is in the tens place and represents 50 (5 times 10).
- The digit 6 is in the hundreds place and represents 600 (6 times 100).
By recognizing the place value of each digit, we can easily add, subtract, multiply, or divide numbers. This concept is crucial in performing arithmetic operations accurately, especially when dealing with larger numbers.
Step by Step Solution
Follow these simple steps for addition with carrying:
  • Step 1: Add the Units Place
    Start by adding the numbers in the units place: 8 + 1 = 9. Write 9 in the units place of the answer.

  • Step 2: Add the Tens Place
    Next, add the numbers in the tens place: 5 + 3 = 8. Write 8 in the tens place of the answer.

  • Step 3: Add the Hundreds Place
    Finally, add the numbers in the hundreds place: 6 + 2 = 8. Write 8 in the hundreds place of the answer.
You can see that each step involves adding digits of the same place value, which simplifies the process and helps to ensure accuracy.
Basic Arithmetic
Basic arithmetic consists of fundamental operations such as addition, subtraction, multiplication, and division. Each of these operations has its own set of rules and techniques. In this exercise, we focus on addition, specifically addition with carrying.
  • Addition: Combining two or more numbers to get a total.

  • Carrying: In addition, carrying occurs when the sum of digits in the place value exceeds 9. The extra value is carried over to the next higher place value.
Understanding these basics allows you to tackle more complex mathematical problems efficiently. Remember, practice is key to mastering basic arithmetic operations.

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Most popular questions from this chapter

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Convert the number to standard form. Six thousand, five

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Convert the numbers to expanded form. $$382$$

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