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Questions and Answers
A mathematical ______ is a group of numbers or variables, with or without mathematical operations.
A mathematical ______ is a group of numbers or variables, with or without mathematical operations.
expression
In a mathematical expression, the ______ is the number attached to the variable.
In a mathematical expression, the ______ is the number attached to the variable.
numerical coefficient
A mathematical ______ is a combination of two mathematical expressions using a comparison operator.
A mathematical ______ is a combination of two mathematical expressions using a comparison operator.
sentence
A group of words which expresses a complete thought is a ______.
A group of words which expresses a complete thought is a ______.
In the context of mathematical language, an ______ is a group of numbers or variables with or without mathematical operations, separated by an equal sign.
In the context of mathematical language, an ______ is a group of numbers or variables with or without mathematical operations, separated by an equal sign.
The word 'sum' in English translates to the ______ symbol in mathematical statements.
The word 'sum' in English translates to the ______ symbol in mathematical statements.
The terms 'per' and 'ratio' are related to the ______ operation in mathematics.
The terms 'per' and 'ratio' are related to the ______ operation in mathematics.
The term 'literal coefficient' refers to the ______ itself in a mathematical expression.
The term 'literal coefficient' refers to the ______ itself in a mathematical expression.
The phrase 'Twice the difference of ten and eight is four' can be expressed mathematically as ______.
The phrase 'Twice the difference of ten and eight is four' can be expressed mathematically as ______.
The algebraic expression 12x = 10 – 2 can be translated into English as 'Twelve times a number is equal to ______'.
The algebraic expression 12x = 10 – 2 can be translated into English as 'Twelve times a number is equal to ______'.
The English sentence 'Four times a number minus twelve is twice the difference of a number and five' can be written as the algebraic equation: ______.
The English sentence 'Four times a number minus twelve is twice the difference of a number and five' can be written as the algebraic equation: ______.
The expression 'The quotient of twenty-one and, five less two is seven' translates to the mathematical statement ______.
The expression 'The quotient of twenty-one and, five less two is seven' translates to the mathematical statement ______.
If 'The ratio of a number and seventy-five is exactly the same as fifty-four and twice a number', that verbal sentence can be written as ______.
If 'The ratio of a number and seventy-five is exactly the same as fifty-four and twice a number', that verbal sentence can be written as ______.
In mathematical statements, "the product of seven and two is fourteen" translates to 7(2) = 14, illustrating the concept of ______.
In mathematical statements, "the product of seven and two is fourteen" translates to 7(2) = 14, illustrating the concept of ______.
The statement "the ______ of six and two is three" corresponds to the mathematical expression 6 ÷ 2 = 3.
The statement "the ______ of six and two is three" corresponds to the mathematical expression 6 ÷ 2 = 3.
When we say, 'Two less than ten is equal to eight,' we are expressing a ______ operation mathematically symbolized as 10 - 2 = 8.
When we say, 'Two less than ten is equal to eight,' we are expressing a ______ operation mathematically symbolized as 10 - 2 = 8.
The phrase "the sum of six and two all over four is two" can be translated to an equation where the left-hand side involves ______ before division.
The phrase "the sum of six and two all over four is two" can be translated to an equation where the left-hand side involves ______ before division.
Expressing 'Twice the difference of twelve and four is sixteen' requires understanding that the ______ operation is performed before multiplication.
Expressing 'Twice the difference of twelve and four is sixteen' requires understanding that the ______ operation is performed before multiplication.
The translation of English phrases into mathematical statements often hinges on correctly identifying the ______ being described, such as addition, subtraction, multiplication, or division.
The translation of English phrases into mathematical statements often hinges on correctly identifying the ______ being described, such as addition, subtraction, multiplication, or division.
The ______ of ten and two represents the mathematical operation 10 - 2 = 8, which equals eight.
The ______ of ten and two represents the mathematical operation 10 - 2 = 8, which equals eight.
When translating 'Six divided by two is three' into a mathematical sentence, the term 'divided by' indicates we are looking for the ______ of 6 ÷ 2, which equals three.
When translating 'Six divided by two is three' into a mathematical sentence, the term 'divided by' indicates we are looking for the ______ of 6 ÷ 2, which equals three.
Flashcards
Mathematical Language
Mathematical Language
A language using symbols and numbers to express mathematical ideas.
Expression
Expression
A group of numbers or variables with or without mathematical operations, no equal sign.
Equation
Equation
A statement that two expressions are equal, separated by an equal sign.
Mathematical Sentences
Mathematical Sentences
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Operational Symbols
Operational Symbols
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Inequality
Inequality
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Numerical Coefficient
Numerical Coefficient
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Common Errors in Math Language
Common Errors in Math Language
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Ten minus two
Ten minus two
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Seven times two
Seven times two
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Six divided by two
Six divided by two
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Sum of six and two over four
Sum of six and two over four
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Twice the difference of twelve and four
Twice the difference of twelve and four
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Common errors in translation
Common errors in translation
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Quotient
Quotient
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Product
Product
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Translating Mathematical Statements
Translating Mathematical Statements
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Algebraic Expression
Algebraic Expression
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Quotient Interpretation
Quotient Interpretation
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Twice a Number
Twice a Number
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Difference of Two Numbers
Difference of Two Numbers
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Study Notes
Mathematical Language and Symbols
- Mathematical language uses symbols for concise communication
- Language is a systematic way to communicate using sounds or symbols
- Components of language include Vocabulary (meaning of words), Grammar (rules for forming sentences), Community of people (the group of speakers) and Range of Meanings (the variety of ways words can be interpreted)
Types of Language
-
English Language:
- Phrases: short groups of words used together for a specific meaning
- Sentences: groups of words expressing complete thoughts
-
Mathematical Language:
- Expression: a combination of numbers, variables, or mathematical operations
- Equation: an expression containing an equal sign, representing equality between two expressions
- Sentence: a combination of two mathematical expressions using comparison operators like =, ≠, <, >, ≤, ≥
Mathematical Expressions
- Expressions consist of terms separated by plus or minus signs
- Variable: a symbol representing a non-fixed value
- Numerical coefficient: the number in front of a variable
- Literal coefficient: the variable itself
- Constant: a single number
Mathematical Sentences
- Sentences are a combination of expressions using comparison operators
- Comparison operator Examples: =, ≠, <, >, ≤, ≥
Equation vs Inequality
- Equations show equality between expressions
- Inequalities show relationships of greater than or less than
Classifying Expressions & Equations
- Provide examples of expressions and equations for identification
Operational Terms and Symbols
- Symbols and their corresponding English terms:
- = : equals, is equal to, represents, is the same as
-
- : plus, sum, total, added, increased, put together
-
- : minus, difference, subtracted, diminished, less
- × or *: times, multiplied, product
- ÷ or / : divided by, quotient
English Expression to Mathematical Sentences
- Provide examples of translating English phrases to mathematical statements and vice versa
Conversion of Algebraic Expressions to English Sentences
- Show examples of converting algebraic expressions into English sentences and vice-versa
Algebraic Expression to English Sentences (vice-versa)
- Provide examples of converting algebraic equations into English sentences and vice-versa
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Description
Explore mathematical language, comparing expressions, equations, and sentences. Understand how math uses symbols for precise communication. Key components include vocabulary and grammar.
