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Chapter 1: Problem 81

Write each of the following in symbols. a. The sum of 5 and 2 b. 3 added to 8

Short Answer

Expert verified
(a) \( 5 + 2 \); (b) \( 3 + 8 \).

Step by step solution

01

Understand the phrases

The task requires translating the given phrases into mathematical symbols. The phrase 'The sum of 5 and 2' involves addition, as it mentions the word 'sum'. Similarly, '3 added to 8' also indicates addition, with 3 being added to 8.
02

Translate the first phrase

The phrase 'The sum of 5 and 2' can be translated into mathematical symbols by expressing it as an addition operation. In symbols, it is written as \( 5 + 2 \).
03

Translate the second phrase

The phrase '3 added to 8' conveys the same operation as '3 plus 8.' This can be expressed in symbols as \( 3 + 8 \).

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Key Concepts

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

Understanding Mathematical Symbols
Mathematical symbols serve as the universal language of math. They help communicate ideas clearly and concisely. One common symbol we use often is the plus sign, represented by "+". This symbol indicates the addition of numbers. It's essential to get familiar with these symbols because they transition us from words to equations.

Other important symbols include:
  • "-" (minus), indicating subtraction
  • "脳" or "*" (times), for multiplication
  • "梅" or "/" (divided by), representing division
  • "=", which tells us that two values are equal
Understanding these symbols allows you to easily read and solve math problems. So, when you see words like "sum" or "added," you know they relate to the "+" symbol.
Deciphering the Addition Operation
Addition is one of the basic operations in math, and it's quite straightforward. Let's break it down:

When we perform an addition operation, we combine two or more numbers to get a total. The numbers being added are known as "addends," and the result is called the "sum." For instance, in the expression \(5 + 2\), the numbers 5 and 2 are addends, and their sum is 7.

Steps for performing addition:
  • Identify the numbers (addends) to be added
  • Use the "+" symbol to indicate addition
  • Calculate or "sum" the numbers to get the total
In math problems, the addition operation frequently appears in phrases like "the sum of," "increased by," or "plus." Recognizing these phrases helps you identify when and where to use the plus symbol.
Translating Phrases into Symbols
Converting words into mathematical symbols is a crucial skill in prealgebra. It transforms plain language into a format that math can process. Here's how you can translate typical phrases into symbols:

Consider the phrase "the sum of 5 and 2." The word "sum" suggests addition. Therefore, we translate it into the math expression \(5 + 2\).

Similarly, when you hear "3 added to 8," it conveys "+" because "added" implies addition. Thus, you write it as \(3 + 8\).

Translation tips:
  • Look for keywords: "sum," "added," "more," "plus"
  • Identify the numbers involved
  • Use the appropriate symbols to convert phrases into equations
Getting comfortable with this translation helps you turn real-world problems into solvable math expressions.

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Most popular questions from this chapter

The application problems that follow may involve more than merely division. Some may require addition, subtraction, or multiplication, whereas others may use a combination of two or more operations. Milligrams of Iron Suppose a glass of juice contains 3 milligrams of iron and a piece of toast contains 2 milligrams of iron. If Diane drinks two glasses of juice and has three pieces of toast for breakfast, how much iron is contained in the meal?

The application problems that follow may involve more than merely division. Some may require addition, subtraction, or multiplication, whereas others may use a combination of two or more operations. Price per Pound If 6 pounds of a certain kind of fruit cost \(\$ 4.74,\) how much does 1 pound cost?

Improving Your Quantitative Literacy Quantitative literacy is a subject discussed by many people involved in teaching mathematics. The person they are concerned with when they discuss it is you. we are going to work at improving your quantitative literacy, but before we do that we should answer the question, what is quantitative literacy? Lynn Arthur Steen, a noted mathematics educator, has stated that quantitative literacy is "the capacity to deal effectively with the quantitative aspects of life." a. Give a definition for the word quantitative. b. Give a definition for the word literag. c. Are there situations that occur in your life that you find distasteful or that you try to avoid because they involve numbers and mathematics? If so, list some of them here. (For example, some people find the process of buying a car particularly difficult because they feel that the numbers and details of the financing are beyond them.)

Rewrite each of the following using the associative property of addition. $$(2+3)+8$$

The quotient \(15,208 \div 771\) is closest to which of the following numbers? a. 2 b. 20 c. 200 d. 2,000
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