Illustrative Math Alignment: Grade 7 Unit 7
Expressions, Equations, and Inequalities
Lesson 23: Applications of Expressions
Use the following Media4Math resources with this Illustrative Math lesson.
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Math Example: Language of Math--Numerical Expressions--Multiplication--Example 4 | Math Example: Language of Math--Numerical Expressions--Multiplication--Example 4TopicNumerical Expressions DescriptionThis example demonstrates how the phrase "Nine groups of ten" is converted into the numerical expression 10 * 9. It illustrates that the term "groups of" refers to multiples of a number and is another way to express multiplication. |
Numerical Expressions |
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Math Example: Language of Math--Numerical Expressions--Multiplication--Example 40 | Math Example: Language of Math--Numerical Expressions--Multiplication--Example 40TopicNumerical Expressions DescriptionThis example demonstrates how to convert the phrase "Negative nine multiples of negative fifteen" into a numerical expression. The image uses color-coded text and arrows to guide students through the process of translating this verbal statement into mathematical symbols, resulting in the expression -15 * (-9). This example emphasizes the importance of understanding the order of factors in multiplication, especially when dealing with negative numbers. |
Numerical Expressions |
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Math Example: Language of Math--Numerical Expressions--Multiplication--Example 5 | Math Example: Language of Math--Numerical Expressions--Multiplication--Example 5TopicNumerical Expressions DescriptionThis example illustrates how the phrase "Ten multiples of nineteen" is converted into the numerical expression 19 * 10. It demonstrates that the term "multiples of" indicates multiplication, with the number on the right being multiplied by the number on the left. |
Numerical Expressions |
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Math Example: Language of Math--Numerical Expressions--Multiplication--Example 6 | Math Example: Language of Math--Numerical Expressions--Multiplication--Example 6TopicNumerical Expressions DescriptionThis example demonstrates how the phrase "Fifteen times sixteen" is converted into the numerical expression 15 * 16. It illustrates that the word "times" is a straightforward indicator of multiplication in mathematical language. |
Numerical Expressions |
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Math Example: Language of Math--Numerical Expressions--Multiplication--Example 7 | Math Example: Language of Math--Numerical Expressions--Multiplication--Example 7TopicNumerical Expressions DescriptionThis example illustrates how the phrase "Fourteen multiplied by eighteen" is converted into the numerical expression 14 * 18. It demonstrates that the term "multiplied by" is directly translated to the multiplication symbol in mathematical notation. |
Numerical Expressions |
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Math Example: Language of Math--Numerical Expressions--Multiplication--Example 8 | Math Example: Language of Math--Numerical Expressions--Multiplication--Example 8TopicNumerical Expressions DescriptionThis example demonstrates how to convert the phrase "Six by seventeen" into a numerical expression. The word "by" is often used to express dimensions and can be used to calculate area. In this case, it indicates multiplication, resulting in the expression 6 * 17. |
Numerical Expressions |
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Math Example: Language of Math--Numerical Expressions--Multiplication--Example 9 | Math Example: Language of Math--Numerical Expressions--Multiplication--Example 9TopicNumerical Expressions DescriptionThis example illustrates how to convert the phrase "Twelve groups of seven" into a numerical expression. The term "groups of" refers to multiples of a number, indicating multiplication. In this case, it translates to the expression 7 * 12. |
Numerical Expressions |
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Math Example: Language of Math--Numerical Expressions--Subtraction--Example 1 | Math Example: Language of Math--Numerical Expressions--Subtraction--Example 1TopicNumerical Expressions DescriptionThis math example demonstrates how to convert the verbal statement "Seven take away fourteen" into a numerical expression. The phrase "take away" is translated into the subtraction operation, resulting in the expression 7 - 14. |
Numerical Expressions |
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Math Example: Language of Math--Numerical Expressions--Subtraction--Example 10 | Math Example: Language of Math--Numerical Expressions--Subtraction--Example 10TopicNumerical Expressions DescriptionThis example shows how to convert the verbal statement "Four from one" into a numerical expression. The word "from" indicates subtraction, leading to the expression 1 - 4. Numerical expressions are vital for translating everyday language into mathematical notation. This collection of examples helps students learn how to interpret various verbal phrases and convert them into accurate mathematical expressions. By exploring different ways to express subtraction, such as using "from," students understand how language affects operations and number order. |
Numerical Expressions |
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Math Example: Language of Math--Numerical Expressions--Subtraction--Example 11 | Math Example: Language of Math--Numerical Expressions--Subtraction--Example 11TopicNumerical Expressions DescriptionThis example involves converting the phrase "One take away negative ten" into a numerical expression. The phrase "take away" indicates subtraction, resulting in the expression 1 - (-10). Understanding numerical expressions is essential as they connect everyday language with mathematical notation. This collection aids students in interpreting various verbal phrases and converting them into precise mathematical expressions. By exploring expressions involving negative numbers, students gain insight into how language influences mathematical operations. |
Numerical Expressions |
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Math Example: Language of Math--Numerical Expressions--Subtraction--Example 12 | Math Example: Language of Math--Numerical Expressions--Subtraction--Example 12TopicNumerical Expressions DescriptionThis example demonstrates converting the phrase "Three minus negative eight" into a numerical expression. The word "minus" indicates subtraction, resulting in the expression 3 - (-8). Numerical expressions are crucial for translating everyday language into mathematical notation. This collection helps students learn to interpret various verbal phrases and convert them into accurate mathematical expressions. By exploring expressions involving negatives, students understand how language affects operations. |
Numerical Expressions |
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Math Example: Language of Math--Numerical Expressions--Subtraction--Example 13 | Math Example: Language of Math--Numerical Expressions--Subtraction--Example 13TopicNumerical Expressions DescriptionThis example shows how to convert the phrase "Twenty less negative four" into a numerical expression. The word "less" indicates subtraction, resulting in the expression 20 - (-4). Numerical expressions are crucial for translating everyday language into mathematical notation. This collection helps students learn to interpret various verbal phrases and convert them into accurate mathematical expressions. By exploring different ways to express subtraction, including handling negatives, students understand how language influences operations. |
Numerical Expressions |
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Math Example: Language of Math--Numerical Expressions--Subtraction--Example 14 | Math Example: Language of Math--Numerical Expressions--Subtraction--Example 14TopicNumerical Expressions DescriptionThis example illustrates converting "Negative eighteen subtracted from five" into a numerical expression. The phrase "subtracted from" indicates subtraction, resulting in the expression 5 - (-18). |
Numerical Expressions |
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Math Example: Language of Math--Numerical Expressions--Subtraction--Example 15 | Math Example: Language of Math--Numerical Expressions--Subtraction--Example 15TopicNumerical Expressions DescriptionThis example shows how to convert "Negative fourteen from fourteen" into a numerical expression. The word "from" indicates subtraction, leading to the expression 14 - (-14). Numerical expressions are vital for translating everyday language into mathematical notation. This collection helps students learn how to interpret various verbal phrases and convert them into accurate mathematical expressions. By exploring different ways to express subtraction, such as using "from," students understand how language affects operations. |
Numerical Expressions |
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Math Example: Language of Math--Numerical Expressions--Subtraction--Example 16 | Math Example: Language of Math--Numerical Expressions--Subtraction--Example 16TopicNumerical Expressions DescriptionThis example demonstrates converting the phrase "Ten take away negative ten" into a numerical expression. The phrase "take away" indicates subtraction, resulting in the expression 10 - (-10). Numerical expressions are crucial for translating everyday language into mathematical notation. This collection helps students learn to interpret various verbal phrases and convert them into accurate mathematical expressions. By exploring different ways to express subtraction, including handling negatives, students understand how language influences operations. |
Numerical Expressions |
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Math Example: Language of Math--Numerical Expressions--Subtraction--Example 17 | Math Example: Language of Math--Numerical Expressions--Subtraction--Example 17TopicNumerical Expressions DescriptionThis example illustrates converting "Eighteen minus negative fifteen" into a numerical expression. The word "minus" indicates subtraction, resulting in the expression 18 - (-15). Understanding numerical expressions is essential as they connect everyday language with mathematical notation. This collection aids students in interpreting various verbal phrases and converting them into precise mathematical expressions. By exploring expressions involving negative numbers, students gain insight into how language influences mathematical operations. |
Numerical Expressions |
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Math Example: Language of Math--Numerical Expressions--Subtraction--Example 18 | Math Example: Language of Math--Numerical Expressions--Subtraction--Example 18TopicNumerical Expressions DescriptionThis example presents converting "Nineteen less negative seventeen" into a numerical expression. The word "less" indicates subtraction, resulting in the expression 19 - (-17). Numerical expressions are vital for translating everyday language into mathematical notation. This collection helps students learn how to interpret various verbal phrases and convert them into accurate mathematical expressions. By exploring different ways to express subtraction, such as using "less," students understand how language affects operations. |
Numerical Expressions |
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Math Example: Language of Math--Numerical Expressions--Subtraction--Example 19 | Math Example: Language of Math--Numerical Expressions--Subtraction--Example 19TopicNumerical Expressions DescriptionThis example demonstrates converting "Negative twelve subtracted from twenty" into a numerical expression. The phrase "subtracted from" indicates subtraction, resulting in the expression 20 - (-12). |
Numerical Expressions |
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Math Example: Language of Math--Numerical Expressions--Subtraction--Example 2 | Math Example: Language of Math--Numerical Expressions--Subtraction--Example 2TopicNumerical Expressions DescriptionThis example illustrates the conversion of the verbal statement "Nineteen minus four" into a numerical expression. The word "minus" directly translates to the subtraction operation, resulting in the expression 19 - 4. |
Numerical Expressions |
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Math Example: Language of Math--Numerical Expressions--Subtraction--Example 20 | Math Example: Language of Math--Numerical Expressions--Subtraction--Example 20TopicNumerical Expressions DescriptionThis example explains converting "Negative seven from fourteen" into a numerical expression. The word "from" indicates subtraction, leading to the expression 14 - (-7). Numerical expressions are vital for translating everyday language into mathematical notation. This collection helps students learn how to interpret various verbal phrases and convert them into accurate mathematical expressions. By exploring different ways to express subtraction, such as using "from," students understand how language affects operations. |
Numerical Expressions |
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Math Example: Language of Math--Numerical Expressions--Subtraction--Example 21 | Math Example: Language of Math--Numerical Expressions--Subtraction--Example 21TopicNumerical Expressions DescriptionThis example demonstrates converting the phrase "Negative two take away seventeen" into a numerical expression. The phrase "take away" indicates subtraction, resulting in the expression -2 - 17. |
Numerical Expressions |
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Math Example: Language of Math--Numerical Expressions--Subtraction--Example 22 | Math Example: Language of Math--Numerical Expressions--Subtraction--Example 22TopicNumerical Expressions DescriptionThis example illustrates converting "Negative sixteen minus ten" into a numerical expression. The word "minus" indicates subtraction, resulting in the expression -16 - 10. Understanding numerical expressions is essential as they connect everyday language with mathematical notation. This collection aids students in interpreting various verbal phrases and converting them into precise mathematical expressions. By exploring expressions involving negative numbers, students gain insight into how language influences mathematical operations. |
Numerical Expressions |
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Math Example: Language of Math--Numerical Expressions--Subtraction--Example 23 | Math Example: Language of Math--Numerical Expressions--Subtraction--Example 23TopicNumerical Expressions DescriptionThis example shows how to convert "Negative six less nine" into a numerical expression. The word "less" indicates subtraction, leading to the expression -6 - 9. Numerical expressions are vital for translating everyday language into mathematical notation. This collection helps students learn how to interpret various verbal phrases and convert them into accurate mathematical expressions. By exploring different ways to express subtraction, such as using "less," students understand how language affects operations. |
Numerical Expressions |
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Math Example: Language of Math--Numerical Expressions--Subtraction--Example 24 | Math Example: Language of Math--Numerical Expressions--Subtraction--Example 24TopicNumerical Expressions DescriptionThis example illustrates converting "Sixteen subtracted from negative three" into a numerical expression. The phrase "subtracted from" indicates subtraction, resulting in the expression -3 - 16. |
Numerical Expressions |
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Math Example: Language of Math--Numerical Expressions--Subtraction--Example 25 | Math Example: Language of Math--Numerical Expressions--Subtraction--Example 25TopicNumerical Expressions DescriptionThis example shows how to convert "Ten from negative eighteen" into a numerical expression. The word "from" indicates subtraction, leading to the expression -18 - 10. Numerical expressions are vital for translating everyday language into mathematical notation. This collection helps students learn how to interpret various verbal phrases and convert them into accurate mathematical expressions. By exploring different ways to express subtraction, such as using "from," students understand how language affects operations. |
Numerical Expressions |
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Math Example: Language of Math--Numerical Expressions--Subtraction--Example 26 | Math Example: Language of Math--Numerical Expressions--Subtraction--Example 26TopicNumerical Expressions DescriptionThis example illustrates converting the phrase "Negative ten take away sixteen" into a numerical expression. The phrase "take away" indicates subtraction, resulting in the expression -10 - 16. |
Numerical Expressions |
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Math Example: Language of Math--Numerical Expressions--Subtraction--Example 27 | Math Example: Language of Math--Numerical Expressions--Subtraction--Example 27TopicNumerical Expressions DescriptionThis example provides an illustration of converting "Negative one minus thirteen" into a numerical expression. The word "minus" indicates subtraction, resulting in the expression -1 - 13. Understanding numerical expressions is essential as they connect everyday language with mathematical notation. This collection aids students in interpreting various verbal phrases and converting them into precise mathematical expressions. By exploring expressions involving negative numbers, students gain insight into how language influences mathematical operations. |
Numerical Expressions |
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Math Example: Language of Math--Numerical Expressions--Subtraction--Example 28 | Math Example: Language of Math--Numerical Expressions--Subtraction--Example 28TopicNumerical Expressions DescriptionThis example shows how to convert "Negative eight less thirteen" into a numerical expression. The word "less" indicates subtraction, leading to the expression -8 - 13. Numerical expressions are vital for translating everyday language into mathematical notation. This collection helps students learn how to interpret various verbal phrases and convert them into accurate mathematical expressions. By exploring different ways to express subtraction, such as using "less," students understand how language affects operations. |
Numerical Expressions |
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Math Example: Language of Math--Numerical Expressions--Subtraction--Example 29 | Math Example: Language of Math--Numerical Expressions--Subtraction--Example 29TopicNumerical Expressions DescriptionThis example illustrates converting "Six subtracted from negative five" into a numerical expression. The phrase "subtracted from" indicates subtraction, resulting in the expression -5 - 6. |
Numerical Expressions |
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Math Example: Language of Math--Numerical Expressions--Subtraction--Example 3 | Math Example: Language of Math--Numerical Expressions--Subtraction--Example 3TopicNumerical Expressions DescriptionThis example demonstrates how to convert the verbal statement "Five less two" into a numerical expression. The word "less" is interpreted as subtraction, resulting in the expression 5 - 2. |
Numerical Expressions |
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Math Example: Language of Math--Numerical Expressions--Subtraction--Example 30 | Math Example: Language of Math--Numerical Expressions--Subtraction--Example 30TopicNumerical Expressions DescriptionThis example shows how to convert "Thirteen from negative sixteen" into a numerical expression. The word "from" indicates subtraction, leading to the expression -16 - 13. Numerical expressions are vital for translating everyday language into mathematical notation. This collection helps students learn how to interpret various verbal phrases and convert them into accurate mathematical expressions. By exploring different ways to express subtraction, such as using "from," students understand how language affects operations. |
Numerical Expressions |
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Math Example: Language of Math--Numerical Expressions--Subtraction--Example 31 | Math Example: Language of Math--Numerical Expressions--Subtraction--Example 31TopicNumerical Expressions DescriptionThis example demonstrates converting the phrase "Negative sixteen take away negative twenty" into a numerical expression. The phrase "take away" indicates subtraction, resulting in the expression -16 - (-20). |
Numerical Expressions |
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Math Example: Language of Math--Numerical Expressions--Subtraction--Example 32 | Math Example: Language of Math--Numerical Expressions--Subtraction--Example 32TopicNumerical Expressions DescriptionThis example illustrates converting "Negative fifteen minus negative nine" into a numerical expression. The word "minus" indicates subtraction, resulting in the expression -15 - (-9). |
Numerical Expressions |
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Math Example: Language of Math--Numerical Expressions--Subtraction--Example 33 | Math Example: Language of Math--Numerical Expressions--Subtraction--Example 33TopicNumerical Expressions DescriptionThis example shows how to convert "Negative sixteen less negative nineteen" into a numerical expression. The word "less" indicates subtraction, leading to the expression -16 - (-19). Numerical expressions are vital for translating everyday language into mathematical notation. This collection helps students learn how to interpret various verbal phrases and convert them into accurate mathematical expressions. By exploring different ways to express subtraction, such as using "less," students understand how language affects operations. |
Numerical Expressions |
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Math Example: Language of Math--Numerical Expressions--Subtraction--Example 34 | Math Example: Language of Math--Numerical Expressions--Subtraction--Example 34TopicNumerical Expressions DescriptionThis example illustrates converting "Negative fourteen subtracted from negative four" into a numerical expression. The phrase "subtracted from" indicates subtraction, resulting in the expression -4 - (-14). |
Numerical Expressions |
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Math Example: Language of Math--Numerical Expressions--Subtraction--Example 35 | Math Example: Language of Math--Numerical Expressions--Subtraction--Example 35TopicNumerical Expressions DescriptionThis example explains converting "Negative five from negative eleven" into a numerical expression. The word "from" indicates subtraction, leading to the expression -11 - (-5). Numerical expressions are vital for translating everyday language into mathematical notation. This collection helps students learn how to interpret various verbal phrases and convert them into accurate mathematical expressions. By exploring different ways to express subtraction, such as using "from," students understand how language affects operations. |
Numerical Expressions |
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Math Example: Language of Math--Numerical Expressions--Subtraction--Example 36 | Math Example: Language of Math--Numerical Expressions--Subtraction--Example 36TopicNumerical Expressions DescriptionThis example illustrates converting "Negative six take away negative fifteen" into a numerical expression. The phrase "take away" indicates subtraction, resulting in the expression -6 - (-15). |
Numerical Expressions |
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Math Example: Language of Math--Numerical Expressions--Subtraction--Example 37 | Math Example: Language of Math--Numerical Expressions--Subtraction--Example 37TopicNumerical Expressions DescriptionThis example shows how to convert "Negative four minus negative six" into a numerical expression. The word "minus" indicates subtraction, resulting in the expression -4 - (-6). Understanding numerical expressions is essential as they connect everyday language with mathematical notation. This collection aids students in interpreting various verbal phrases and converting them into precise mathematical expressions. By exploring expressions involving negative numbers, students gain insight into how language influences mathematical operations. |
Numerical Expressions |
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Math Example: Language of Math--Numerical Expressions--Subtraction--Example 38 | Math Example: Language of Math--Numerical Expressions--Subtraction--Example 38TopicNumerical Expressions DescriptionThis example presents converting "Negative sixteen less negative nineteen" into a numerical expression. The word "less" indicates subtraction, resulting in the expression -16 - (-19). Numerical expressions are vital for translating everyday language into mathematical notation. This collection helps students learn how to interpret various verbal phrases and convert them into accurate mathematical expressions. By exploring different ways to express subtraction, such as using "less," students understand how language affects operations. |
Numerical Expressions |
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Math Example: Language of Math--Numerical Expressions--Subtraction--Example 39 | Math Example: Language of Math--Numerical Expressions--Subtraction--Example 39TopicNumerical Expressions DescriptionThis example illustrates converting "Negative ten subtracted from negative thirteen" into a numerical expression. The phrase "subtracted from" indicates subtraction, resulting in the expression -13 - (-10). |
Numerical Expressions |
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Math Example: Language of Math--Numerical Expressions--Subtraction--Example 4 | Math Example: Language of Math--Numerical Expressions--Subtraction--Example 4TopicNumerical Expressions DescriptionThis example illustrates how to convert the verbal statement "Two subtracted from seventeen" into a numerical expression. The phrase "subtracted from" indicates subtraction, but it's important to note the order of the numbers. The result is the expression 17 - 2. |
Numerical Expressions |
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Math Example: Language of Math--Numerical Expressions--Subtraction--Example 40 | Math Example: Language of Math--Numerical Expressions--Subtraction--Example 40TopicNumerical Expressions DescriptionThis example shows how to convert "Negative fifteen from negative nineteen" into a numerical expression. The word "from" indicates subtraction, leading to the expression -19 - (-15). Numerical expressions are vital for translating everyday language into mathematical notation. This collection helps students learn how to interpret various verbal phrases and convert them into accurate mathematical expressions. By exploring different ways to express subtraction, such as using "from," students understand how language affects operations. |
Numerical Expressions |
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Math Example: Language of Math--Numerical Expressions--Subtraction--Example 5 | Math Example: Language of Math--Numerical Expressions--Subtraction--Example 5TopicNumerical Expressions DescriptionThis example demonstrates how to convert the verbal statement "Ten from twenty" into a numerical expression. The word "from" indicates subtraction, and the order of the numbers is important. The resulting expression is 20 - 10. |
Numerical Expressions |
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Math Example: Language of Math--Numerical Expressions--Subtraction--Example 6 | Math Example: Language of Math--Numerical Expressions--Subtraction--Example 6TopicNumerical Expressions DescriptionThis example illustrates how to convert the verbal statement "Nineteen take away one" into a numerical expression. The phrase "take away" clearly indicates subtraction, resulting in the expression 19 - 1. |
Numerical Expressions |
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Math Example: Language of Math--Numerical Expressions--Subtraction--Example 7 | Math Example: Language of Math--Numerical Expressions--Subtraction--Example 7TopicNumerical Expressions DescriptionThis example demonstrates how to convert the verbal statement "Eighteen minus five" into a numerical expression. The word "minus" directly translates to the subtraction operation, resulting in the expression 18 - 5. |
Numerical Expressions |
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Math Example: Language of Math--Numerical Expressions--Subtraction--Example 8 | Math Example: Language of Math--Numerical Expressions--Subtraction--Example 8TopicNumerical Expressions DescriptionThis example demonstrates how to convert the verbal statement "Four less seven" into a numerical expression. The word "less" indicates subtraction, resulting in the expression 4 - 7. |
Numerical Expressions |
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Math Example: Language of Math--Numerical Expressions--Subtraction--Example 9 | Math Example: Language of Math--Numerical Expressions--Subtraction--Example 9TopicNumerical Expressions DescriptionThis example illustrates how to convert the verbal statement "Nine subtracted from eighteen" into a numerical expression. The phrase "subtracted from" indicates subtraction, resulting in the expression 18 - 9. |
Numerical Expressions |
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Math Example: Language of Math--Variable Expressions--Multiplication and Addition--Example 1 | Math Example: Language of Math--Variable Expressions--Multiplication and Addition--Example 1TopicVariable Expressions DescriptionThis math example demonstrates how to convert a verbal statement into a variable expression involving multiplication and addition. The problem statement "Seven multiplied by a number increased by nineteen" is translated into the algebraic expression 7x + 19. This example helps students understand how to interpret mathematical language and represent it symbolically. |
Numerical Expressions |
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Math Example: Language of Math--Variable Expressions--Multiplication and Addition--Example 10 | Math Example: Language of Math--Variable Expressions--Multiplication and Addition--Example 10TopicVariable Expressions DescriptionThis example illustrates the process of converting a verbal statement into a variable expression using multiplication and addition. The statement "Three times a number plus negative eleven" is translated into the algebraic expression 3x + (-11). This example helps students understand how to interpret mathematical language and represent it symbolically, particularly when dealing with negative numbers in addition. |
Numerical Expressions |
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Math Example: Language of Math--Variable Expressions--Multiplication and Addition--Example 11 | Math Example: Language of Math--Variable Expressions--Multiplication and Addition--Example 11TopicVariable Expressions DescriptionThis example demonstrates how to convert a verbal statement into a variable expression using multiplication and addition. The statement "The sum of negative six and thirteen times more than a number" is translated into the algebraic expression -6 + 13x. This example helps students understand how to interpret mathematical language and represent it symbolically, especially when dealing with negative numbers and phrases like "times more than." |
Numerical Expressions |
