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Chapter 1: Problem 85

Write each word statement in symbols. Fifteen is equal to five plus ten.

Short Answer

Expert verified
15 = 5 + 10

Step by step solution

01

Identify the Components

First, break down the sentence into its components. The statement says 'Fifteen is equal to five plus ten'.
02

Translate Words to Numbers

Replace the words with their corresponding numerical values. 'Fifteen' is 15, 'five' is 5, and 'ten' is 10.
03

Identify Mathematical Symbols

Recognize that 'is equal to' translates to the equal sign '=' and 'plus' translates to the addition sign '+'.
04

Construct the Equation

Combine the numerical values with mathematical symbols to form the equation: 15 = 5 + 10

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Key Concepts

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

mathematical symbols
Mathematical symbols are crucial for translating word problems into equations. They serve as a universal language that allows us to express mathematical ideas clearly. Common symbols include:
  • '=' for 'is equal to'
  • '+' for 'plus'
  • '-' for 'minus'
  • '*' for 'times'
In our exercise, 'is equal to' is translated to the equal sign '='.
'Plus' is translated to the addition sign '+'.
Understanding these basic symbols helps in converting word statements into mathematical expressions accurately.
numerical values
Numerical values are simply the numbers used in equations. In our exercise, we identify the numbers from the word statement:
  • 'Fifteen' translates to 15
  • 'Five' translates to 5
  • 'Ten' translates to 10
Extracting these values is the first step in constructing an equation. It鈥檚 essential to recognize and convert these numbers accurately. Misinterpreting a numerical value can lead to incorrect equations and solutions.
equation construction
Constructing an equation involves combining numerical values with mathematical symbols. Here's how to do it step-by-step:
1. Identify the numerical values and symbols: 'Fifteen is equal to five plus ten' gives us 15, 5, 10, '=', and '+'.
2. Piece together the equation: Place the numbers and symbols in the correct order. Our equation becomes 15 = 5 + 10.
This process ensures that the word statement is accurately represented in mathematical form. Practicing these steps helps in mastering the art of equation construction, making it easier to solve diverse math problems.

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Most popular questions from this chapter

Perform each indicated operation. $$ |-5-6|+|9+2| $$

In August, Susan Goodman began with a checking account balance of \(\$ 904.89\). Her checks and deposits for August are as follows: $$ \begin{array}{|r|r|} \hline \text { Checks } & \text { Deposits } \\ \hline \$ 35.84 & \$ 85.00 \\ \$ 26.14 & \$ 120.76 \\ \$ 3.12 & \\ \hline \end{array} $$ Assuming no other transactions, what was her account balance at the end of August?

Write a numerical expression for each phrase and simplify. 19 less than the difference between 9 and \(-2\)

Perform each indicated operation. $$ 6+(-9-2) $$

To find the average (mean) of a group of numbers, we add the numbers and then divide the sum by the number of terms added. For example, to find the average of \(14,8,3,9,\) and \(1,\) we add them and then divide by 5. $$ \frac{14+8+3+9+1}{5}=\frac{35}{5}=7 \leftarrow \text { Average } $$ Find the average of each group of numbers. \(-15,29,8,-6\)
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