Illustrative Math Alignment: Grade 6 Unit 1
Arithmetic in Base Ten
Lesson 6: Methods for Multiplying Decimals
Use the following Media4Math resources with this Illustrative Math lesson.
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Math Example: Language of Math--Variable Expressions--Multiplication and Addition--Example 22 | Math Example: Language of Math--Variable Expressions--Multiplication and Addition--Example 22TopicVariable Expressions DescriptionThis example illustrates the process of converting a verbal statement into a variable expression using multiplication and addition. The statement "Negative seven times a number plus eight" is translated into the algebraic expression -7x + 8. This example helps students understand how to interpret mathematical language and represent it symbolically, particularly when dealing with negative coefficients and positive constants. |
Numerical Expressions |
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Math Example: Language of Math--Variable Expressions--Multiplication and Addition--Example 22 | Math Example: Language of Math--Variable Expressions--Multiplication and Addition--Example 22TopicVariable Expressions DescriptionThis example illustrates the process of converting a verbal statement into a variable expression using multiplication and addition. The statement "Negative seven times a number plus eight" is translated into the algebraic expression -7x + 8. This example helps students understand how to interpret mathematical language and represent it symbolically, particularly when dealing with negative coefficients and positive constants. |
Numerical Expressions |
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Math Example: Language of Math--Variable Expressions--Multiplication and Addition--Example 23 | Math Example: Language of Math--Variable Expressions--Multiplication and Addition--Example 23TopicVariable Expressions DescriptionThis example demonstrates how to convert a verbal statement into a variable expression using multiplication and addition. The statement "The sum of twenty and negative ten times more than a number" is translated into the algebraic expression -10x + 20. This example helps students understand how to interpret mathematical language and represent it symbolically, especially when dealing with negative coefficients and the phrase "times more than." |
Numerical Expressions |
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Math Example: Language of Math--Variable Expressions--Multiplication and Addition--Example 23 | Math Example: Language of Math--Variable Expressions--Multiplication and Addition--Example 23TopicVariable Expressions DescriptionThis example demonstrates how to convert a verbal statement into a variable expression using multiplication and addition. The statement "The sum of twenty and negative ten times more than a number" is translated into the algebraic expression -10x + 20. This example helps students understand how to interpret mathematical language and represent it symbolically, especially when dealing with negative coefficients and the phrase "times more than." |
Numerical Expressions |
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Math Example: Language of Math--Variable Expressions--Multiplication and Addition--Example 24 | Math Example: Language of Math--Variable Expressions--Multiplication and Addition--Example 24TopicVariable Expressions DescriptionThis example illustrates the process of converting a verbal statement into a variable expression using multiplication and addition. The statement "A total of sixteen and negative twenty times a number" is translated into the algebraic expression -20x + 16. This example helps students understand how to interpret mathematical language and represent it symbolically, particularly when dealing with negative coefficients and the phrase "times a number." |
Numerical Expressions |
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Math Example: Language of Math--Variable Expressions--Multiplication and Addition--Example 24 | Math Example: Language of Math--Variable Expressions--Multiplication and Addition--Example 24TopicVariable Expressions DescriptionThis example illustrates the process of converting a verbal statement into a variable expression using multiplication and addition. The statement "A total of sixteen and negative twenty times a number" is translated into the algebraic expression -20x + 16. This example helps students understand how to interpret mathematical language and represent it symbolically, particularly when dealing with negative coefficients and the phrase "times a number." |
Numerical Expressions |
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Math Example: Language of Math--Variable Expressions--Multiplication and Addition--Example 25 | Math Example: Language of Math--Variable Expressions--Multiplication and Addition--Example 25TopicVariable Expressions DescriptionThis example demonstrates how to convert a verbal statement into a variable expression using multiplication and addition. The statement "Negative six multiplied by a number increased by negative twelve" is translated into the algebraic expression -6x + (-12). This example helps students understand how to interpret mathematical language and represent it symbolically, especially when dealing with negative coefficients and negative constants. |
Numerical Expressions |
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Math Example: Language of Math--Variable Expressions--Multiplication and Addition--Example 25 | Math Example: Language of Math--Variable Expressions--Multiplication and Addition--Example 25TopicVariable Expressions DescriptionThis example demonstrates how to convert a verbal statement into a variable expression using multiplication and addition. The statement "Negative six multiplied by a number increased by negative twelve" is translated into the algebraic expression -6x + (-12). This example helps students understand how to interpret mathematical language and represent it symbolically, especially when dealing with negative coefficients and negative constants. |
Numerical Expressions |
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Math Example: Language of Math--Variable Expressions--Multiplication and Addition--Example 26 | Math Example: Language of Math--Variable Expressions--Multiplication and Addition--Example 26TopicVariable Expressions DescriptionThis example demonstrates how to convert a verbal statement into a variable expression using multiplication and addition. The statement "Negative 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, especially when dealing with negative coefficients and negative constants. |
Numerical Expressions |
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Math Example: Language of Math--Variable Expressions--Multiplication and Addition--Example 26 | Math Example: Language of Math--Variable Expressions--Multiplication and Addition--Example 26TopicVariable Expressions DescriptionThis example demonstrates how to convert a verbal statement into a variable expression using multiplication and addition. The statement "Negative 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, especially when dealing with negative coefficients and negative constants. |
Numerical Expressions |
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Math Example: Language of Math--Variable Expressions--Multiplication and Addition--Example 27 | Math Example: Language of Math--Variable Expressions--Multiplication and Addition--Example 27TopicVariable Expressions |
Numerical Expressions |
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Math Example: Language of Math--Variable Expressions--Multiplication and Addition--Example 27 | Math Example: Language of Math--Variable Expressions--Multiplication and Addition--Example 27TopicVariable Expressions |
Numerical Expressions |
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Math Example: Language of Math--Variable Expressions--Multiplication and Addition--Example 28 | Math Example: Language of Math--Variable Expressions--Multiplication and Addition--Example 28TopicVariable Expressions DescriptionThis example demonstrates how to convert a verbal statement into a variable expression using multiplication and addition. The statement "A total of negative nineteen and negative eight times a number" is translated into the algebraic expression -8x + (-19). This example helps students understand how to interpret mathematical language and represent it symbolically, especially when dealing with negative coefficients and negative constants. |
Numerical Expressions |
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Math Example: Language of Math--Variable Expressions--Multiplication and Addition--Example 28 | Math Example: Language of Math--Variable Expressions--Multiplication and Addition--Example 28TopicVariable Expressions DescriptionThis example demonstrates how to convert a verbal statement into a variable expression using multiplication and addition. The statement "A total of negative nineteen and negative eight times a number" is translated into the algebraic expression -8x + (-19). This example helps students understand how to interpret mathematical language and represent it symbolically, especially when dealing with negative coefficients and negative constants. |
Numerical Expressions |
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Math Example: Language of Math--Variable Expressions--Multiplication and Addition--Example 29 | Math Example: Language of Math--Variable Expressions--Multiplication and Addition--Example 29TopicVariable Expressions DescriptionThis example illustrates the process of converting a verbal statement into a variable expression using multiplication and addition. The statement "Negative four multiplied by a number increased by negative five" is translated into the algebraic expression -4x + (-5). This example helps students understand how to interpret mathematical language and represent it symbolically, particularly when dealing with negative coefficients and negative constants. |
Numerical Expressions |
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Math Example: Language of Math--Variable Expressions--Multiplication and Addition--Example 29 | Math Example: Language of Math--Variable Expressions--Multiplication and Addition--Example 29TopicVariable Expressions DescriptionThis example illustrates the process of converting a verbal statement into a variable expression using multiplication and addition. The statement "Negative four multiplied by a number increased by negative five" is translated into the algebraic expression -4x + (-5). This example helps students understand how to interpret mathematical language and represent it symbolically, particularly when dealing with negative coefficients and negative constants. |
Numerical Expressions |
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Math Example: Language of Math--Variable Expressions--Multiplication and Addition--Example 3 | Math Example: Language of Math--Variable Expressions--Multiplication and Addition--Example 3TopicVariable Expressions DescriptionThis example demonstrates how to convert a verbal statement into a variable expression using multiplication and addition. The statement "The sum of fourteen and thirteen times more than a number" is translated into the algebraic expression 14 + 13x or 13x + 14. This example helps students understand how to interpret mathematical language and represent it symbolically, while also showing that the order of terms can be flexible. |
Numerical Expressions |
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Math Example: Language of Math--Variable Expressions--Multiplication and Addition--Example 3 | Math Example: Language of Math--Variable Expressions--Multiplication and Addition--Example 3TopicVariable Expressions DescriptionThis example demonstrates how to convert a verbal statement into a variable expression using multiplication and addition. The statement "The sum of fourteen and thirteen times more than a number" is translated into the algebraic expression 14 + 13x or 13x + 14. This example helps students understand how to interpret mathematical language and represent it symbolically, while also showing that the order of terms can be flexible. |
Numerical Expressions |
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Math Example: Language of Math--Variable Expressions--Multiplication and Addition--Example 30 | Math Example: Language of Math--Variable Expressions--Multiplication and Addition--Example 30TopicVariable Expressions DescriptionThis example demonstrates how to convert a verbal statement into a variable expression using multiplication and addition. The statement "Negative four times a number plus negative three" is translated into the algebraic expression -4x + (-3). This example helps students understand how to interpret mathematical language and represent it symbolically, especially when dealing with negative coefficients and negative constants. |
Numerical Expressions |
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Math Example: Language of Math--Variable Expressions--Multiplication and Addition--Example 30 | Math Example: Language of Math--Variable Expressions--Multiplication and Addition--Example 30TopicVariable Expressions DescriptionThis example demonstrates how to convert a verbal statement into a variable expression using multiplication and addition. The statement "Negative four times a number plus negative three" is translated into the algebraic expression -4x + (-3). This example helps students understand how to interpret mathematical language and represent it symbolically, especially when dealing with negative coefficients and negative constants. |
Numerical Expressions |
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Math Example: Language of Math--Variable Expressions--Multiplication and Addition--Example 31 | Math Example: Language of Math--Variable Expressions--Multiplication and Addition--Example 31TopicVariable Expressions |
Numerical Expressions |
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Math Example: Language of Math--Variable Expressions--Multiplication and Addition--Example 31 | Math Example: Language of Math--Variable Expressions--Multiplication and Addition--Example 31TopicVariable Expressions |
Numerical Expressions |
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Math Example: Language of Math--Variable Expressions--Multiplication and Addition--Example 32 | Math Example: Language of Math--Variable Expressions--Multiplication and Addition--Example 32TopicVariable Expressions DescriptionThis example demonstrates how to convert a verbal statement into a variable expression using multiplication and addition. The statement "A total of negative fourteen and negative twenty times a number" is translated into the algebraic expression -14 + (-20x) or -20x + (-14). This example helps students understand how to interpret mathematical language and represent it symbolically, especially when dealing with negative coefficients and negative constants. |
Numerical Expressions |
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Math Example: Language of Math--Variable Expressions--Multiplication and Addition--Example 32 | Math Example: Language of Math--Variable Expressions--Multiplication and Addition--Example 32TopicVariable Expressions DescriptionThis example demonstrates how to convert a verbal statement into a variable expression using multiplication and addition. The statement "A total of negative fourteen and negative twenty times a number" is translated into the algebraic expression -14 + (-20x) or -20x + (-14). This example helps students understand how to interpret mathematical language and represent it symbolically, especially when dealing with negative coefficients and negative constants. |
Numerical Expressions |
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Math Example: Language of Math--Variable Expressions--Multiplication and Addition--Example 4 | Math Example: Language of Math--Variable Expressions--Multiplication and Addition--Example 4TopicVariable Expressions DescriptionThis example illustrates the process of converting a verbal statement into a variable expression using multiplication and addition. The statement "A total of twenty and eleven times a number" is translated into the algebraic expression 20 + 11x or 11x + 20. This example helps students understand how to interpret mathematical language and represent it symbolically, while also demonstrating the commutative property of addition. |
Numerical Expressions |
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Math Example: Language of Math--Variable Expressions--Multiplication and Addition--Example 4 | Math Example: Language of Math--Variable Expressions--Multiplication and Addition--Example 4TopicVariable Expressions DescriptionThis example illustrates the process of converting a verbal statement into a variable expression using multiplication and addition. The statement "A total of twenty and eleven times a number" is translated into the algebraic expression 20 + 11x or 11x + 20. This example helps students understand how to interpret mathematical language and represent it symbolically, while also demonstrating the commutative property of addition. |
Numerical Expressions |
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Math Example: Language of Math--Variable Expressions--Multiplication and Addition--Example 5 | Math Example: Language of Math--Variable Expressions--Multiplication and Addition--Example 5TopicVariable Expressions DescriptionThis example demonstrates how to convert a verbal statement into a variable expression using multiplication and addition. The phrase "Twelve multiplied by a number increased by four" is translated into the algebraic expression 12x + 4. 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 5 | Math Example: Language of Math--Variable Expressions--Multiplication and Addition--Example 5TopicVariable Expressions DescriptionThis example demonstrates how to convert a verbal statement into a variable expression using multiplication and addition. The phrase "Twelve multiplied by a number increased by four" is translated into the algebraic expression 12x + 4. 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 6 | Math Example: Language of Math--Variable Expressions--Multiplication and Addition--Example 6TopicVariable Expressions DescriptionThis example illustrates the process of converting a verbal statement into a variable expression using multiplication and addition. The statement "Twenty times a number plus fifteen" is translated into the algebraic expression 20x + 15. 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 6 | Math Example: Language of Math--Variable Expressions--Multiplication and Addition--Example 6TopicVariable Expressions DescriptionThis example illustrates the process of converting a verbal statement into a variable expression using multiplication and addition. The statement "Twenty times a number plus fifteen" is translated into the algebraic expression 20x + 15. 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 7 | Math Example: Language of Math--Variable Expressions--Multiplication and Addition--Example 7TopicVariable Expressions DescriptionThis example demonstrates how to convert a verbal statement into a variable expression using multiplication and addition. The phrase "The sum of seven and eight times more than a number" is translated into the algebraic expression 7 + 8x. This example helps students understand how to interpret mathematical language and represent it symbolically, especially when dealing with phrases like "times more than." |
Numerical Expressions |
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Math Example: Language of Math--Variable Expressions--Multiplication and Addition--Example 7 | Math Example: Language of Math--Variable Expressions--Multiplication and Addition--Example 7TopicVariable Expressions DescriptionThis example demonstrates how to convert a verbal statement into a variable expression using multiplication and addition. The phrase "The sum of seven and eight times more than a number" is translated into the algebraic expression 7 + 8x. This example helps students understand how to interpret mathematical language and represent it symbolically, especially when dealing with phrases like "times more than." |
Numerical Expressions |
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Math Example: Language of Math--Variable Expressions--Multiplication and Addition--Example 8 | Math Example: Language of Math--Variable Expressions--Multiplication and Addition--Example 8TopicVariable Expressions DescriptionThis example illustrates the process of converting a verbal statement into a variable expression using multiplication and addition. The statement "A total of eighteen and two times a number" is translated into the algebraic expressions 18 + 2x or 2x + 18. This example helps students understand how to interpret mathematical language and represent it symbolically, while also demonstrating the commutative property of addition. |
Numerical Expressions |
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Math Example: Language of Math--Variable Expressions--Multiplication and Addition--Example 8 | Math Example: Language of Math--Variable Expressions--Multiplication and Addition--Example 8TopicVariable Expressions DescriptionThis example illustrates the process of converting a verbal statement into a variable expression using multiplication and addition. The statement "A total of eighteen and two times a number" is translated into the algebraic expressions 18 + 2x or 2x + 18. This example helps students understand how to interpret mathematical language and represent it symbolically, while also demonstrating the commutative property of addition. |
Numerical Expressions |
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Math Example: Language of Math--Variable Expressions--Multiplication and Addition--Example 9 | Math Example: Language of Math--Variable Expressions--Multiplication and Addition--Example 9TopicVariable Expressions DescriptionThis example demonstrates how to convert a verbal statement into a variable expression using multiplication and addition. The statement "Twenty multiplied by a number increased by negative fourteen" is translated into the algebraic expression 20x + (-14). This example helps students understand how to interpret mathematical language and represent it symbolically, especially when dealing with negative numbers. |
Numerical Expressions |
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Math Example: Language of Math--Variable Expressions--Multiplication and Addition--Example 9 | Math Example: Language of Math--Variable Expressions--Multiplication and Addition--Example 9TopicVariable Expressions DescriptionThis example demonstrates how to convert a verbal statement into a variable expression using multiplication and addition. The statement "Twenty multiplied by a number increased by negative fourteen" is translated into the algebraic expression 20x + (-14). This example helps students understand how to interpret mathematical language and represent it symbolically, especially when dealing with negative numbers. |
Numerical Expressions |
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Math Example: Language of Math--Variable Expressions--Multiplication and Subtraction--Example 1 | Math Example: Language of Math--Variable Expressions--Multiplication and Subtraction--Example 1TopicVariable Expressions DescriptionThis example demonstrates the conversion of the verbal statement "Six multiplied by a number minus nineteen" into the variable expression 6x - 19. It showcases how to identify multiplication and subtraction operations within a sentence and translate them into algebraic symbols, using x as the variable for "a number". |
Numerical Expressions |
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Math Example: Language of Math--Variable Expressions--Multiplication and Subtraction--Example 1 | Math Example: Language of Math--Variable Expressions--Multiplication and Subtraction--Example 1TopicVariable Expressions DescriptionThis example demonstrates the conversion of the verbal statement "Six multiplied by a number minus nineteen" into the variable expression 6x - 19. It showcases how to identify multiplication and subtraction operations within a sentence and translate them into algebraic symbols, using x as the variable for "a number". |
Numerical Expressions |
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Math Example: Language of Math--Variable Expressions--Multiplication and Subtraction--Example 10 | Math Example: Language of Math--Variable Expressions--Multiplication and Subtraction--Example 10TopicVariable Expressions DescriptionThis example illustrates the conversion of the verbal statement "Two times a number less negative eleven" into the variable expression 2x - (-11). It demonstrates how to interpret phrases like "times" and "less" when dealing with negative numbers, and translate them into algebraic operations, using x to represent "a number". |
Numerical Expressions |
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Math Example: Language of Math--Variable Expressions--Multiplication and Subtraction--Example 10 | Math Example: Language of Math--Variable Expressions--Multiplication and Subtraction--Example 10TopicVariable Expressions DescriptionThis example illustrates the conversion of the verbal statement "Two times a number less negative eleven" into the variable expression 2x - (-11). It demonstrates how to interpret phrases like "times" and "less" when dealing with negative numbers, and translate them into algebraic operations, using x to represent "a number". |
Numerical Expressions |
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Math Example: Language of Math--Variable Expressions--Multiplication and Subtraction--Example 11 | Math Example: Language of Math--Variable Expressions--Multiplication and Subtraction--Example 11TopicVariable Expressions DescriptionThis example demonstrates the conversion of the verbal statement "Subtract four times more than a number from negative two" into the variable expression -4x - 2. It showcases how to interpret a more complex sentence structure involving multiplication, subtraction, and a negative number, and translate it into algebraic symbols, using x to represent "a number". |
Numerical Expressions |
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Math Example: Language of Math--Variable Expressions--Multiplication and Subtraction--Example 11 | Math Example: Language of Math--Variable Expressions--Multiplication and Subtraction--Example 11TopicVariable Expressions DescriptionThis example demonstrates the conversion of the verbal statement "Subtract four times more than a number from negative two" into the variable expression -4x - 2. It showcases how to interpret a more complex sentence structure involving multiplication, subtraction, and a negative number, and translate it into algebraic symbols, using x to represent "a number". |
Numerical Expressions |
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Math Example: Language of Math--Variable Expressions--Multiplication and Subtraction--Example 12 | Math Example: Language of Math--Variable Expressions--Multiplication and Subtraction--Example 12TopicVariable Expressions DescriptionThis example illustrates the conversion of the verbal statement "Take away seventeen times a number from negative two" into the variable expression -17x - 2. It demonstrates how to interpret phrases like "take away" and "times" when dealing with negative numbers, and translate them into algebraic operations, using x to represent "a number". |
Numerical Expressions |
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Math Example: Language of Math--Variable Expressions--Multiplication and Subtraction--Example 12 | Math Example: Language of Math--Variable Expressions--Multiplication and Subtraction--Example 12TopicVariable Expressions DescriptionThis example illustrates the conversion of the verbal statement "Take away seventeen times a number from negative two" into the variable expression -17x - 2. It demonstrates how to interpret phrases like "take away" and "times" when dealing with negative numbers, and translate them into algebraic operations, using x to represent "a number". |
Numerical Expressions |
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Math Example: Language of Math--Variable Expressions--Multiplication and Subtraction--Example 13 | Math Example: Language of Math--Variable Expressions--Multiplication and Subtraction--Example 13TopicVariable Expressions DescriptionThis example demonstrates the conversion of the verbal statement "Fifteen multiplied by a number minus negative five" into the variable expression 15x - (-5). It showcases how to interpret multiplication and subtraction operations within a sentence, especially when dealing with negative numbers, and translate them into algebraic symbols, using x to represent "a number". |
Numerical Expressions |
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Math Example: Language of Math--Variable Expressions--Multiplication and Subtraction--Example 13 | Math Example: Language of Math--Variable Expressions--Multiplication and Subtraction--Example 13TopicVariable Expressions DescriptionThis example demonstrates the conversion of the verbal statement "Fifteen multiplied by a number minus negative five" into the variable expression 15x - (-5). It showcases how to interpret multiplication and subtraction operations within a sentence, especially when dealing with negative numbers, and translate them into algebraic symbols, using x to represent "a number". |
Numerical Expressions |
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Math Example: Language of Math--Variable Expressions--Multiplication and Subtraction--Example 14 | Math Example: Language of Math--Variable Expressions--Multiplication and Subtraction--Example 14TopicVariable Expressions DescriptionThis example illustrates the conversion of the verbal statement "Sixteen times a number less negative fifteen" into the variable expression 16x - (-15). It demonstrates how to interpret phrases like "times" and "less" when dealing with negative numbers, and translate them into algebraic operations, using x to represent "a number". |
Numerical Expressions |
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Math Example: Language of Math--Variable Expressions--Multiplication and Subtraction--Example 14 | Math Example: Language of Math--Variable Expressions--Multiplication and Subtraction--Example 14TopicVariable Expressions DescriptionThis example illustrates the conversion of the verbal statement "Sixteen times a number less negative fifteen" into the variable expression 16x - (-15). It demonstrates how to interpret phrases like "times" and "less" when dealing with negative numbers, and translate them into algebraic operations, using x to represent "a number". |
Numerical Expressions |
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Math Example: Language of Math--Variable Expressions--Multiplication and Subtraction--Example 15 | Math Example: Language of Math--Variable Expressions--Multiplication and Subtraction--Example 15TopicVariable Expressions DescriptionThis example demonstrates the conversion of the verbal statement "Subtract twenty times more than a number from negative one" into the variable expression -20x - 1. It showcases how to interpret a complex sentence structure involving multiplication, subtraction, and a negative number, and translate it into algebraic symbols, using x to represent "a number". |
Numerical Expressions |
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Math Example: Language of Math--Variable Expressions--Multiplication and Subtraction--Example 15 | Math Example: Language of Math--Variable Expressions--Multiplication and Subtraction--Example 15TopicVariable Expressions DescriptionThis example demonstrates the conversion of the verbal statement "Subtract twenty times more than a number from negative one" into the variable expression -20x - 1. It showcases how to interpret a complex sentence structure involving multiplication, subtraction, and a negative number, and translate it into algebraic symbols, using x to represent "a number". |
Numerical Expressions |
