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Chapter 1: Problem 3

Translate the English phrase into a mathematical statement and simplify. 71 increased by 14

Short Answer

Expert verified
85

Step by step solution

01

Identify Keywords

The phrase '71 increased by 14' contains the keywords 'increased by.' This indicates a mathematical operation of addition.
02

Formulate Mathematical Expression

Translate the phrase into a mathematical expression using addition. This gives the expression: 71 + 14
03

Simplify the Expression

Add the numbers together: 71 + 14 = 85

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Key Concepts

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

mathematical operations
In arithmetic, mathematical operations are the basic processes that we use to manipulate numbers. The primary operations are addition, subtraction, multiplication, and division. For this exercise, we're using addition, represented by the plus sign (+). Understanding which operation to use is essential for translating phrases and solving math problems accurately. The phrase 'increased by' tells us which operation to use. Here, '71 increased by 14' indicates that we need to add 14 to 71.
addition
Addition is one of the four basic operations in arithmetic. It involves combining two or more numbers to find their total. The numbers that are added together are called addends, and the result is called the sum. In this problem, 71 and 14 are the addends. When you add these numbers together, you get their sum. For example:
  • If you have 71 apples and someone gives you 14 more apples, you now have 85 apples.
Addition can be visualized on a number line by starting at one number and moving right the number of spaces corresponding to the second number.
simplifying expressions
Simplifying expressions is the process of making a mathematical expression as simple as possible. This often involves performing the arithmetic indicated in the expression. In our exercise, the phrase turns into the expression 71 + 14. To simplify, we need to add these numbers together to get a single number (which is the simplest form of this expression). Performing the addition: 71 + 14 = 85 The expression 71 + 14 simplifies to 85.
translating phrases
Translating phrases involves converting words into mathematical expressions. This is an essential skill in algebra and basic arithmetic. Keywords in the phrase help identify the correct operation. In our example, the phrase '71 increased by 14' uses the keyword 'increased by,' which tells us to add the two numbers.
  • First, we convert '71 increased by 14' to the expression 71 + 14.
Once you translate the phrase, you can then perform the indicated operation to find the solution. This translation step is crucial for solving word problems accurately in mathematics.

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