# 2.7: Mathematical Symbols to Represent Words

**Advanced**Created by: CK-12

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**Practice**Expressions for Real-Life Situations

Rob is describing his weight training to his friend James. He said that when he started training he weighed 185 pounds. He gained 8 pounds in the first month of training. How much did he weigh at the end of the first month of training?

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Khan Academy Problem Solving Word Problems 2

### Guidance

Knowing how to translate key words from English into mathematical symbols is important in problem solving. The first step in any problem solving situation in mathematics is always to read the problem. Translating the words into mathematical symbols is next.

Words such as gain, more, sum, total, increase, plus all mean to add. Words such as difference between, minus, decrease, less, fewer, and loss all mean to subtract. Words such as the product of, double

Experience and practice with problem solving will help better acquaint you with the key words that translate into these operations.

#### Example A

What is the sum of five and seventeen?

**Solution:** Break apart the sentence. It is often helpful to underline the words before and after the word AND. Also, it is helpful to circle the mathematical symbol.

Then translate the symbols together into a mathematical equation and solve it.

#### Example B

Thomas had twenty-four dollars and after shopping his money decreased by four dollars.

**Solution:** Break apart the sentence. Underline the numerical words and circle the mathematical symbol.

Then translate the symbols together into a mathematical equation and solve it.

Therefore Thomas had $20.00 left after shopping.

#### Example C

Nick, Chris, and Jack are sharing a bag of jelly beans. There are 30 jelly beans for the three boys to share equally. How many would each get?

**Solution:** Again, break apart the sentence. Underline the numerical words and circle the mathematical symbol.

Therefore each boy would get 10 jelly beans.

#### Concept Problem Revisited

Rob is describing his weight training to his friend James. He said that when he started training he weighed 185 pounds. He gained 8 pounds in the first month of training. How much did he weigh at the end of the first month of training?

The word gain is the same as saying add.

Therefore Rob weighs

### Guided Practice

1. What is twelve increased by eighteen?

2. Joanne and Jillian were each going to share their babysitting money for the week. They made $45.00 in total. How much does each girl receive?

3. The number five is increased by seven. Three-fourths of this number is then decreased from twenty. What is the result?

**Answers:**

1. Break apart the sentence. Underline the numerical words and circle the mathematical symbol.

2. Break apart the sentence. Underline the numerical words and circle the mathematical symbol.

Therefore each girl would get $22.50.

3. Break apart the sentence. Underline the numerical words and circle the mathematical symbol.

Step 1:

Step 2:

### Explore More

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Addition

Words such as gain, more, sum, total, increase, and plus all mean to use addition or to add.Algebraic Expression

An expression that has numbers, operations and variables, but no equals sign.division

Division is a simplified form of repeated subtraction. Division is used to determine the number of times that one term may be subtracted from another before reaching zero. Phrases such as 'the quotient of', 'divided equally', and 'per' all mean to use division or to divide.Multiplication

Terms such as: the product of, double, twice, triple, fraction of, percent of, and times all mean to use multiplication or to multiply.subtraction

Subtraction is an operation used to determine the difference between values. It is the same as adding the opposite, the additive inverse, of a number. Words such as the difference between, minus, decrease, less, fewer, loss all mean to use subtraction.### Image Attributions

## Description

## Learning Objectives

Here you are going to explore mathematical symbols and their word translations.

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## Difficulty Level:

Advanced## Subjects:

## Concept Nodes:

## Date Created:

Apr 30, 2013## Last Modified:

Feb 26, 2015## Vocabulary

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