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Chapter 2: Problem 19

Find the sum of the given integers. \(5+10\)

Short Answer

Expert verified
The sum of 5 and 10 is 15.

Step by step solution

01

Identify the Values

First, identify the values that need to be summed. In this problem, the integers are 5 and 10.
02

Add the Integers Together

Now, add the two integers. Calculate the sum of 5 and 10. \(5 + 10 = ?\)

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Key Concepts

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

Arithmetic
Arithmetic is a foundational branch of mathematics that deals with basic operations like addition, subtraction, multiplication, and division. When handling arithmetic problems such as integer addition, understanding the order and process is crucial.
Consider the exercise where we need to find the sum of two integers: 5 and 10. In arithmetic, addition is straightforward; it is an operation of putting numbers together to find how many in all.
  • To add 5 and 10, you begin by lining up the numbers one below the other if written vertically.
  • Then, start adding from the units place, moving to the tens place as applicable.
  • The sum is computed simply as: 5 (from the first integer) plus 10 (from the second integer).
  • This results in 15.
Arithmetic not only helps in solving direct problems but also enhances mental math abilities, allowing swift calculations in day-to-day activities.
Basic Math Operations
Basic math operations are the building blocks for solving complex mathematical problems. These operations include addition, subtraction, multiplication, and division. Each operation has its own rules and applications, but they often work together. Addition, especially for simple problems like finding the sum of 5 and 10, is often one of the first operations learned in basic math education. It is essential as it forms the basis for understanding combinations of numbers.
  • In adding 5 and 10, each digit can be understood as a single "count" or unit, contributing to the whole.
  • Adding numbers involves understanding properties such as commutativity. This means the order you add numbers doesn't affect the sum: e.g., 5 + 10 = 10 + 5.
  • Basic addition also applies real-life scenarios, like adding items to a basket or computing a total bill.
Mastering these operations develops one's number sense and confidence in handling larger numbers and more complex equations.
Math Problem-Solving Skills
Math problem-solving skills are crucial for finding solutions to mathematical tasks and enhancing analytical thinking. By regularly practicing these skills, you improve your ability to tackle both simple and complex math problems. Consider solving the problem: "Find the sum of 5 and 10." This practice involves several steps that enhance problem-solving skills:
  • Identifying the problem and understanding what is being asked, like recognizing you need to sum two integers.
  • Strategizing on how to proceed, such as choosing which numbers to add first, although the commutative property simplifies it.
  • Carrying out the calculations and double-checking results for accuracy. For our example, compute "5 + 10" confidently to get "15" and verify the result.
These exercises refine critical thinking and give a structured approach to handling more challenging mathematical and real-world problems.

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Most popular questions from this chapter

Simplify each given expression. \(0 \div 5\)

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Find the difference. \(-8-(-10)\)

Find the difference. \(5-8\)

Simplify each given expression. \(-3 \cdot 8\)
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