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--Numerical Expressions--Addition--Example 15 | Math Example: Language of Math--Numerical Expressions--Addition--Example 15TopicNumerical Expressions DescriptionThis example illustrates the conversion of the phrase "Negative twenty more than nine" into a numerical expression. The image demonstrates how this verbal statement translates to the expression 9 + (-20), emphasizing the interpretation of "more than" when dealing with negative numbers. |
Numerical Expressions |
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Math Example: Language of Math--Numerical Expressions--Addition--Example 15 | Math Example: Language of Math--Numerical Expressions--Addition--Example 15TopicNumerical Expressions DescriptionThis example illustrates the conversion of the phrase "Negative twenty more than nine" into a numerical expression. The image demonstrates how this verbal statement translates to the expression 9 + (-20), emphasizing the interpretation of "more than" when dealing with negative numbers. |
Numerical Expressions |
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Math Example: Language of Math--Numerical Expressions--Addition--Example 16 | Math Example: Language of Math--Numerical Expressions--Addition--Example 16TopicNumerical Expressions DescriptionThis example demonstrates the conversion of the phrase "Twenty plus negative four" into a numerical expression. The image shows how this verbal statement translates directly to the expression 20 + (-4), illustrating a straightforward use of the word "plus" with a negative number. |
Numerical Expressions |
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Math Example: Language of Math--Numerical Expressions--Addition--Example 16 | Math Example: Language of Math--Numerical Expressions--Addition--Example 16TopicNumerical Expressions DescriptionThis example demonstrates the conversion of the phrase "Twenty plus negative four" into a numerical expression. The image shows how this verbal statement translates directly to the expression 20 + (-4), illustrating a straightforward use of the word "plus" with a negative number. |
Numerical Expressions |
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Math Example: Language of Math--Numerical Expressions--Addition--Example 17 | Math Example: Language of Math--Numerical Expressions--Addition--Example 17TopicNumerical Expressions DescriptionThis example illustrates the conversion of the phrase "Fifteen increased by negative four" into a numerical expression. The image demonstrates how this verbal statement translates to the expression 15 + (-4), emphasizing the interpretation of "increased by" when dealing with negative numbers. |
Numerical Expressions |
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Math Example: Language of Math--Numerical Expressions--Addition--Example 17 | Math Example: Language of Math--Numerical Expressions--Addition--Example 17TopicNumerical Expressions DescriptionThis example illustrates the conversion of the phrase "Fifteen increased by negative four" into a numerical expression. The image demonstrates how this verbal statement translates to the expression 15 + (-4), emphasizing the interpretation of "increased by" when dealing with negative numbers. |
Numerical Expressions |
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Math Example: Language of Math--Numerical Expressions--Addition--Example 18 | Math Example: Language of Math--Numerical Expressions--Addition--Example 18TopicNumerical Expressions DescriptionThis example demonstrates the conversion of the phrase "Negative sixteen in addition to fifteen" into a numerical expression. The image shows how this verbal statement translates to the expression 15 + (-16), highlighting the importance of word order in determining the structure of the expression. |
Numerical Expressions |
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Math Example: Language of Math--Numerical Expressions--Addition--Example 18 | Math Example: Language of Math--Numerical Expressions--Addition--Example 18TopicNumerical Expressions DescriptionThis example demonstrates the conversion of the phrase "Negative sixteen in addition to fifteen" into a numerical expression. The image shows how this verbal statement translates to the expression 15 + (-16), highlighting the importance of word order in determining the structure of the expression. |
Numerical Expressions |
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Math Example: Language of Math--Numerical Expressions--Addition--Example 19 | Math Example: Language of Math--Numerical Expressions--Addition--Example 19TopicNumerical Expressions DescriptionThis example illustrates the conversion of the phrase "Negative six added to nine" into a numerical expression. The image demonstrates how this verbal statement translates to the expression 9 + (-6), emphasizing the interpretation of "added to" when dealing with negative numbers. |
Numerical Expressions |
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Math Example: Language of Math--Numerical Expressions--Addition--Example 19 | Math Example: Language of Math--Numerical Expressions--Addition--Example 19TopicNumerical Expressions DescriptionThis example illustrates the conversion of the phrase "Negative six added to nine" into a numerical expression. The image demonstrates how this verbal statement translates to the expression 9 + (-6), emphasizing the interpretation of "added to" when dealing with negative numbers. |
Numerical Expressions |
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Math Example: Language of Math--Numerical Expressions--Addition--Example 2 | Math Example: Language of Math--Numerical Expressions--Addition--Example 2TopicNumerical Expressions DescriptionThis example illustrates the conversion of the phrase "Six increased by eight" into a numerical expression. The image highlights how this verbal statement translates to the expression 6 + 8, demonstrating another way to express addition in mathematical language. |
Numerical Expressions |
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Math Example: Language of Math--Numerical Expressions--Addition--Example 2 | Math Example: Language of Math--Numerical Expressions--Addition--Example 2TopicNumerical Expressions DescriptionThis example illustrates the conversion of the phrase "Six increased by eight" into a numerical expression. The image highlights how this verbal statement translates to the expression 6 + 8, demonstrating another way to express addition in mathematical language. |
Numerical Expressions |
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Math Example: Language of Math--Numerical Expressions--Addition--Example 20 | Math Example: Language of Math--Numerical Expressions--Addition--Example 20TopicNumerical Expressions DescriptionThis example demonstrates the conversion of the phrase "Negative five more than nineteen" into a numerical expression. The image shows how this verbal statement translates to the expression 19 + (-5), highlighting the interpretation of "more than" when dealing with negative numbers. |
Numerical Expressions |
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Math Example: Language of Math--Numerical Expressions--Addition--Example 20 | Math Example: Language of Math--Numerical Expressions--Addition--Example 20TopicNumerical Expressions DescriptionThis example demonstrates the conversion of the phrase "Negative five more than nineteen" into a numerical expression. The image shows how this verbal statement translates to the expression 19 + (-5), highlighting the interpretation of "more than" when dealing with negative numbers. |
Numerical Expressions |
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Math Example: Language of Math--Numerical Expressions--Addition--Example 21 | Math Example: Language of Math--Numerical Expressions--Addition--Example 21TopicNumerical Expressions DescriptionThis example illustrates the conversion of the phrase "Negative fourteen plus two" into a numerical expression. The image demonstrates how this straightforward verbal statement translates directly to the expression -14 + 2, emphasizing the simplicity of using "plus" in numerical expressions. |
Numerical Expressions |
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Math Example: Language of Math--Numerical Expressions--Addition--Example 21 | Math Example: Language of Math--Numerical Expressions--Addition--Example 21TopicNumerical Expressions DescriptionThis example illustrates the conversion of the phrase "Negative fourteen plus two" into a numerical expression. The image demonstrates how this straightforward verbal statement translates directly to the expression -14 + 2, emphasizing the simplicity of using "plus" in numerical expressions. |
Numerical Expressions |
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Math Example: Language of Math--Numerical Expressions--Addition--Example 22 | Math Example: Language of Math--Numerical Expressions--Addition--Example 22TopicNumerical Expressions DescriptionThis example demonstrates the conversion of the phrase "Negative fifteen increased by ten" into a numerical expression. The image shows how this verbal statement translates to the expression -15 + 10, emphasizing that "increased by" is equivalent to "plus" in mathematical language. |
Numerical Expressions |
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Math Example: Language of Math--Numerical Expressions--Addition--Example 22 | Math Example: Language of Math--Numerical Expressions--Addition--Example 22TopicNumerical Expressions DescriptionThis example demonstrates the conversion of the phrase "Negative fifteen increased by ten" into a numerical expression. The image shows how this verbal statement translates to the expression -15 + 10, emphasizing that "increased by" is equivalent to "plus" in mathematical language. |
Numerical Expressions |
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Math Example: Language of Math--Numerical Expressions--Addition--Example 23 | Math Example: Language of Math--Numerical Expressions--Addition--Example 23TopicNumerical Expressions DescriptionThis example illustrates the conversion of the phrase "Eight in addition to negative eight" into a numerical expression. The image demonstrates how this verbal statement translates to the expression -8 + 8, highlighting that "in addition to" is equivalent to "plus" in mathematical language. |
Numerical Expressions |
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Math Example: Language of Math--Numerical Expressions--Addition--Example 23 | Math Example: Language of Math--Numerical Expressions--Addition--Example 23TopicNumerical Expressions DescriptionThis example illustrates the conversion of the phrase "Eight in addition to negative eight" into a numerical expression. The image demonstrates how this verbal statement translates to the expression -8 + 8, highlighting that "in addition to" is equivalent to "plus" in mathematical language. |
Numerical Expressions |
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Math Example: Language of Math--Numerical Expressions--Addition--Example 24 | Math Example: Language of Math--Numerical Expressions--Addition--Example 24TopicNumerical Expressions DescriptionThis example demonstrates the conversion of the phrase "Eight added to negative fourteen" into a numerical expression. The image shows how this verbal statement translates to the expression -14 + 8, emphasizing that "added to" is equivalent to "plus" in mathematical language. |
Numerical Expressions |
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Math Example: Language of Math--Numerical Expressions--Addition--Example 24 | Math Example: Language of Math--Numerical Expressions--Addition--Example 24TopicNumerical Expressions DescriptionThis example demonstrates the conversion of the phrase "Eight added to negative fourteen" into a numerical expression. The image shows how this verbal statement translates to the expression -14 + 8, emphasizing that "added to" is equivalent to "plus" in mathematical language. |
Numerical Expressions |
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Math Example: Language of Math--Numerical Expressions--Addition--Example 25 | Math Example: Language of Math--Numerical Expressions--Addition--Example 25TopicNumerical Expressions DescriptionThis example illustrates the conversion of the phrase "Eight more than negative two" into a numerical expression. The image demonstrates how this verbal statement translates to the expression -2 + 8, highlighting the interpretation of "more than" when dealing with negative numbers. |
Numerical Expressions |
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Math Example: Language of Math--Numerical Expressions--Addition--Example 25 | Math Example: Language of Math--Numerical Expressions--Addition--Example 25TopicNumerical Expressions DescriptionThis example illustrates the conversion of the phrase "Eight more than negative two" into a numerical expression. The image demonstrates how this verbal statement translates to the expression -2 + 8, highlighting the interpretation of "more than" when dealing with negative numbers. |
Numerical Expressions |
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Math Example: Language of Math--Numerical Expressions--Addition--Example 26 | Math Example: Language of Math--Numerical Expressions--Addition--Example 26TopicNumerical Expressions DescriptionThis example demonstrates the conversion of the phrase "Negative seventeen plus seven" into a numerical expression. The image shows how this straightforward verbal statement translates directly to the expression -17 + 7, emphasizing the simplicity of using "plus" in numerical expressions, even with negative numbers. |
Numerical Expressions |
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Math Example: Language of Math--Numerical Expressions--Addition--Example 26 | Math Example: Language of Math--Numerical Expressions--Addition--Example 26TopicNumerical Expressions DescriptionThis example demonstrates the conversion of the phrase "Negative seventeen plus seven" into a numerical expression. The image shows how this straightforward verbal statement translates directly to the expression -17 + 7, emphasizing the simplicity of using "plus" in numerical expressions, even with negative numbers. |
Numerical Expressions |
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Math Example: Language of Math--Numerical Expressions--Addition--Example 27 | Math Example: Language of Math--Numerical Expressions--Addition--Example 27TopicNumerical Expressions DescriptionThis example illustrates the conversion of the phrase "Ten increased by negative one" into a numerical expression. The image demonstrates how this verbal statement translates to the expression 10 + (-1), emphasizing the interpretation of "increased by" when dealing with negative numbers. |
Numerical Expressions |
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Math Example: Language of Math--Numerical Expressions--Addition--Example 27 | Math Example: Language of Math--Numerical Expressions--Addition--Example 27TopicNumerical Expressions DescriptionThis example illustrates the conversion of the phrase "Ten increased by negative one" into a numerical expression. The image demonstrates how this verbal statement translates to the expression 10 + (-1), emphasizing the interpretation of "increased by" when dealing with negative numbers. |
Numerical Expressions |
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Math Example: Language of Math--Numerical Expressions--Addition--Example 28 | Math Example: Language of Math--Numerical Expressions--Addition--Example 28TopicNumerical Expressions DescriptionThis example demonstrates the conversion of the phrase "Four in addition to negative four" into a numerical expression. The image shows how this verbal statement translates to the expression -4 + 4, highlighting that "in addition to" is equivalent to "plus" in mathematical language. |
Numerical Expressions |
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Math Example: Language of Math--Numerical Expressions--Addition--Example 28 | Math Example: Language of Math--Numerical Expressions--Addition--Example 28TopicNumerical Expressions DescriptionThis example demonstrates the conversion of the phrase "Four in addition to negative four" into a numerical expression. The image shows how this verbal statement translates to the expression -4 + 4, highlighting that "in addition to" is equivalent to "plus" in mathematical language. |
Numerical Expressions |
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Math Example: Language of Math--Numerical Expressions--Addition--Example 29 | Math Example: Language of Math--Numerical Expressions--Addition--Example 29TopicNumerical Expressions DescriptionThis example illustrates the conversion of the phrase "Eleven added to negative ten" into a numerical expression. The image demonstrates how this verbal statement translates to the expression -10 + 11, emphasizing that "added to" is equivalent to "plus" in mathematical language. |
Numerical Expressions |
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Math Example: Language of Math--Numerical Expressions--Addition--Example 29 | Math Example: Language of Math--Numerical Expressions--Addition--Example 29TopicNumerical Expressions DescriptionThis example illustrates the conversion of the phrase "Eleven added to negative ten" into a numerical expression. The image demonstrates how this verbal statement translates to the expression -10 + 11, emphasizing that "added to" is equivalent to "plus" in mathematical language. |
Numerical Expressions |
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Math Example: Language of Math--Numerical Expressions--Addition--Example 3 | Math Example: Language of Math--Numerical Expressions--Addition--Example 3TopicNumerical Expressions DescriptionThis example showcases the conversion of the phrase "Ten added to twelve" into a numerical expression. The image highlights how this verbal statement translates to the expression 12 + 10, emphasizing the importance of order in addition expressions. |
Numerical Expressions |
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Math Example: Language of Math--Numerical Expressions--Addition--Example 3 | Math Example: Language of Math--Numerical Expressions--Addition--Example 3TopicNumerical Expressions DescriptionThis example showcases the conversion of the phrase "Ten added to twelve" into a numerical expression. The image highlights how this verbal statement translates to the expression 12 + 10, emphasizing the importance of order in addition expressions. |
Numerical Expressions |
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Math Example: Language of Math--Numerical Expressions--Addition--Example 30 | Math Example: Language of Math--Numerical Expressions--Addition--Example 30TopicNumerical Expressions DescriptionThis example demonstrates the conversion of the phrase "Seven more than negative four" into a numerical expression. The image shows how this verbal statement translates to the expression -4 + 7, highlighting the interpretation of "more than" when dealing with negative numbers. |
Numerical Expressions |
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Math Example: Language of Math--Numerical Expressions--Addition--Example 30 | Math Example: Language of Math--Numerical Expressions--Addition--Example 30TopicNumerical Expressions DescriptionThis example demonstrates the conversion of the phrase "Seven more than negative four" into a numerical expression. The image shows how this verbal statement translates to the expression -4 + 7, highlighting the interpretation of "more than" when dealing with negative numbers. |
Numerical Expressions |
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Math Example: Language of Math--Numerical Expressions--Addition--Example 31 | Math Example: Language of Math--Numerical Expressions--Addition--Example 31TopicNumerical Expressions DescriptionThis example illustrates the conversion of the phrase "Negative twelve plus negative four" into a numerical expression. The image demonstrates how this straightforward verbal statement translates directly to the expression -12 + (-4), emphasizing the simplicity of using "plus" in numerical expressions, even with multiple negative numbers. |
Numerical Expressions |
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Math Example: Language of Math--Numerical Expressions--Addition--Example 31 | Math Example: Language of Math--Numerical Expressions--Addition--Example 31TopicNumerical Expressions DescriptionThis example illustrates the conversion of the phrase "Negative twelve plus negative four" into a numerical expression. The image demonstrates how this straightforward verbal statement translates directly to the expression -12 + (-4), emphasizing the simplicity of using "plus" in numerical expressions, even with multiple negative numbers. |
Numerical Expressions |
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Math Example: Language of Math--Numerical Expressions--Addition--Example 32 | Math Example: Language of Math--Numerical Expressions--Addition--Example 32TopicNumerical Expressions DescriptionThis example demonstrates the conversion of the phrase "Negative thirteen increased by negative eight" into a numerical expression. The image shows how this verbal statement translates to the expression -13 + (-8), emphasizing the interpretation of "increased by" when dealing with two negative numbers. |
Numerical Expressions |
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Math Example: Language of Math--Numerical Expressions--Addition--Example 32 | Math Example: Language of Math--Numerical Expressions--Addition--Example 32TopicNumerical Expressions DescriptionThis example demonstrates the conversion of the phrase "Negative thirteen increased by negative eight" into a numerical expression. The image shows how this verbal statement translates to the expression -13 + (-8), emphasizing the interpretation of "increased by" when dealing with two negative numbers. |
Numerical Expressions |
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Math Example: Language of Math--Numerical Expressions--Addition--Example 33 | Math Example: Language of Math--Numerical Expressions--Addition--Example 33TopicNumerical Expressions DescriptionThis example illustrates converting the phrase "Negative sixteen in addition to negative three" into a numerical expression. The image emphasizes key terms with color coding, showing how this verbal statement translates to the expression -3 + (-16). The phrase "in addition to" signifies addition. |
Numerical Expressions |
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Math Example: Language of Math--Numerical Expressions--Addition--Example 33 | Math Example: Language of Math--Numerical Expressions--Addition--Example 33TopicNumerical Expressions DescriptionThis example illustrates converting the phrase "Negative sixteen in addition to negative three" into a numerical expression. The image emphasizes key terms with color coding, showing how this verbal statement translates to the expression -3 + (-16). The phrase "in addition to" signifies addition. |
Numerical Expressions |
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Math Example: Language of Math--Numerical Expressions--Addition--Example 34 | Math Example: Language of Math--Numerical Expressions--Addition--Example 34TopicNumerical Expressions DescriptionThis example explains converting "Negative twenty added to negative eleven" into a numerical expression. The image uses color coding for emphasis, demonstrating how this statement is expressed as -11 + (-20). The term "added to" indicates addition. Understanding how to interpret phrases like "added to" in the context of negative numbers is crucial for students' mathematical development. It helps them grasp that the order of numbers in an expression can differ from their order in a verbal statement. |
Numerical Expressions |
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Math Example: Language of Math--Numerical Expressions--Addition--Example 34 | Math Example: Language of Math--Numerical Expressions--Addition--Example 34TopicNumerical Expressions DescriptionThis example explains converting "Negative twenty added to negative eleven" into a numerical expression. The image uses color coding for emphasis, demonstrating how this statement is expressed as -11 + (-20). The term "added to" indicates addition. Understanding how to interpret phrases like "added to" in the context of negative numbers is crucial for students' mathematical development. It helps them grasp that the order of numbers in an expression can differ from their order in a verbal statement. |
Numerical Expressions |
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Math Example: Language of Math--Numerical Expressions--Addition--Example 35 | Math Example: Language of Math--Numerical Expressions--Addition--Example 35TopicNumerical Expressions DescriptionThis example shows how to convert "Negative eight more than negative one" into a numerical expression. The image uses color coding to highlight different parts, translating this phrase into -1 + (-8). The term "more than" indicates addition. Understanding how to interpret phrases like "more than" when dealing with negative numbers is crucial for students' mathematical development. It helps them grasp that adding a negative number results in moving further from zero on the number line. |
Numerical Expressions |
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Math Example: Language of Math--Numerical Expressions--Addition--Example 35 | Math Example: Language of Math--Numerical Expressions--Addition--Example 35TopicNumerical Expressions DescriptionThis example shows how to convert "Negative eight more than negative one" into a numerical expression. The image uses color coding to highlight different parts, translating this phrase into -1 + (-8). The term "more than" indicates addition. Understanding how to interpret phrases like "more than" when dealing with negative numbers is crucial for students' mathematical development. It helps them grasp that adding a negative number results in moving further from zero on the number line. |
Numerical Expressions |
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Math Example: Language of Math--Numerical Expressions--Addition--Example 36 | Math Example: Language of Math--Numerical Expressions--Addition--Example 36TopicNumerical Expressions DescriptionThis example presents converting "Negative three plus negative nineteen" into a numerical expression. Key terms are color-coded for clarity, showing how this statement is written as -3 + (-19). The term "plus" indicates straightforward addition. The use of "plus" when dealing with negative numbers is straightforward but essential for understanding more complex operations involving negatives. This concept reinforces that addition can involve multiple negatives, preparing students for advanced algebraic concepts. |
Numerical Expressions |
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Math Example: Language of Math--Numerical Expressions--Addition--Example 36 | Math Example: Language of Math--Numerical Expressions--Addition--Example 36TopicNumerical Expressions DescriptionThis example presents converting "Negative three plus negative nineteen" into a numerical expression. Key terms are color-coded for clarity, showing how this statement is written as -3 + (-19). The term "plus" indicates straightforward addition. The use of "plus" when dealing with negative numbers is straightforward but essential for understanding more complex operations involving negatives. This concept reinforces that addition can involve multiple negatives, preparing students for advanced algebraic concepts. |
Numerical Expressions |
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Math Example: Language of Math--Numerical Expressions--Addition--Example 37 | Math Example: Language of Math--Numerical Expressions--Addition--Example 37TopicNumerical Expressions DescriptionThis example involves converting "Negative two increased by negative nine" into an addition expression. Key terms are highlighted in different colors, resulting in the expression -2 + (-9). The phrase "increased by" when used with negatives highlights that increasing by a negative results in further decrease, an important concept for understanding operations involving negatives. |
Numerical Expressions |
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Math Example: Language of Math--Numerical Expressions--Addition--Example 37 | Math Example: Language of Math--Numerical Expressions--Addition--Example 37TopicNumerical Expressions DescriptionThis example involves converting "Negative two increased by negative nine" into an addition expression. Key terms are highlighted in different colors, resulting in the expression -2 + (-9). The phrase "increased by" when used with negatives highlights that increasing by a negative results in further decrease, an important concept for understanding operations involving negatives. |
Numerical Expressions |
