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.
| Thumbnail | Title | Description | Curriculum Nodes |
|---|---|---|---|
|
Math Example: Language of Math--Numerical Expressions--Grouping Symbols--Example 10 | Math Example: Language of Math--Numerical Expressions--Grouping Symbols--Example 10TopicNumerical Expressions DescriptionThis example illustrates the conversion of the verbal statement "Negative sixteen multiplied by the quantity fourteen plus five" into the numerical expression -16 * (14 + 5). The process involves replacing "multiplied by" with the multiplication symbol and using parentheses to group the terms following "the quantity." |
Numerical Expressions |
|
|
Math Example: Language of Math--Numerical Expressions--Grouping Symbols--Example 10 | Math Example: Language of Math--Numerical Expressions--Grouping Symbols--Example 10TopicNumerical Expressions DescriptionThis example illustrates the conversion of the verbal statement "Negative sixteen multiplied by the quantity fourteen plus five" into the numerical expression -16 * (14 + 5). The process involves replacing "multiplied by" with the multiplication symbol and using parentheses to group the terms following "the quantity." |
Numerical Expressions |
|
Math Example: Language of Math--Numerical Expressions--Grouping Symbols--Example 11 | Math Example: Language of Math--Numerical Expressions--Grouping Symbols--Example 11TopicNumerical Expressions DescriptionThis example demonstrates the conversion of the verbal statement "Negative nineteen divided by the quantity sixteen plus seven" into the numerical expression -19 / (16 + 7). The process involves replacing "divided by" with the division symbol and using parentheses to group the terms following "the quantity." |
Numerical Expressions |
|
|
Math Example: Language of Math--Numerical Expressions--Grouping Symbols--Example 11 | Math Example: Language of Math--Numerical Expressions--Grouping Symbols--Example 11TopicNumerical Expressions DescriptionThis example demonstrates the conversion of the verbal statement "Negative nineteen divided by the quantity sixteen plus seven" into the numerical expression -19 / (16 + 7). The process involves replacing "divided by" with the division symbol and using parentheses to group the terms following "the quantity." |
Numerical Expressions |
|
Math Example: Language of Math--Numerical Expressions--Grouping Symbols--Example 12 | Math Example: Language of Math--Numerical Expressions--Grouping Symbols--Example 12TopicNumerical Expressions DescriptionThis example illustrates the conversion of the verbal statement "Negative four over the quantity eleven plus nine" into the numerical expression -4 / (11 + 9). The process involves replacing "over" with the division symbol and using parentheses to group the terms following "the quantity." |
Numerical Expressions |
|
|
Math Example: Language of Math--Numerical Expressions--Grouping Symbols--Example 12 | Math Example: Language of Math--Numerical Expressions--Grouping Symbols--Example 12TopicNumerical Expressions DescriptionThis example illustrates the conversion of the verbal statement "Negative four over the quantity eleven plus nine" into the numerical expression -4 / (11 + 9). The process involves replacing "over" with the division symbol and using parentheses to group the terms following "the quantity." |
Numerical Expressions |
|
Math Example: Language of Math--Numerical Expressions--Grouping Symbols--Example 13 | Math Example: Language of Math--Numerical Expressions--Grouping Symbols--Example 13TopicNumerical Expressions DescriptionThis example demonstrates the conversion of the verbal statement "Negative sixteen times the quantity three minus nineteen" into the numerical expression -16 * (3 - 19). The process involves replacing "times" with the multiplication symbol and using parentheses to group the terms following "the quantity." |
Numerical Expressions |
|
|
Math Example: Language of Math--Numerical Expressions--Grouping Symbols--Example 13 | Math Example: Language of Math--Numerical Expressions--Grouping Symbols--Example 13TopicNumerical Expressions DescriptionThis example demonstrates the conversion of the verbal statement "Negative sixteen times the quantity three minus nineteen" into the numerical expression -16 * (3 - 19). The process involves replacing "times" with the multiplication symbol and using parentheses to group the terms following "the quantity." |
Numerical Expressions |
|
Math Example: Language of Math--Numerical Expressions--Grouping Symbols--Example 14 | Math Example: Language of Math--Numerical Expressions--Grouping Symbols--Example 14TopicNumerical Expressions DescriptionThis example illustrates the conversion of the verbal statement "Negative sixteen multiplied by the quantity fourteen minus five" into the numerical expression -16 * (14 - 5). The process involves replacing "multiplied by" with the multiplication symbol and using parentheses to group the terms following "the quantity." |
Numerical Expressions |
|
|
Math Example: Language of Math--Numerical Expressions--Grouping Symbols--Example 14 | Math Example: Language of Math--Numerical Expressions--Grouping Symbols--Example 14TopicNumerical Expressions DescriptionThis example illustrates the conversion of the verbal statement "Negative sixteen multiplied by the quantity fourteen minus five" into the numerical expression -16 * (14 - 5). The process involves replacing "multiplied by" with the multiplication symbol and using parentheses to group the terms following "the quantity." |
Numerical Expressions |
|
Math Example: Language of Math--Numerical Expressions--Grouping Symbols--Example 15 | Math Example: Language of Math--Numerical Expressions--Grouping Symbols--Example 15TopicNumerical Expressions DescriptionThis example illustrates converting the verbal statement "Negative nineteen divided by the quantity sixteen minus seven" into a numerical expression. The expression is written as -19 / (16 - 7), using division and grouping symbols to clearly indicate the order of operations. |
Numerical Expressions |
|
|
Math Example: Language of Math--Numerical Expressions--Grouping Symbols--Example 15 | Math Example: Language of Math--Numerical Expressions--Grouping Symbols--Example 15TopicNumerical Expressions DescriptionThis example illustrates converting the verbal statement "Negative nineteen divided by the quantity sixteen minus seven" into a numerical expression. The expression is written as -19 / (16 - 7), using division and grouping symbols to clearly indicate the order of operations. |
Numerical Expressions |
|
Math Example: Language of Math--Numerical Expressions--Grouping Symbols--Example 16 | Math Example: Language of Math--Numerical Expressions--Grouping Symbols--Example 16TopicNumerical Expressions DescriptionThis example shows how to convert "Negative four over the quantity eleven minus nine" into a numerical expression. The expression is written as -4 / (11 - 9), using division and grouping symbols to clarify the order of operations. |
Numerical Expressions |
|
|
Math Example: Language of Math--Numerical Expressions--Grouping Symbols--Example 16 | Math Example: Language of Math--Numerical Expressions--Grouping Symbols--Example 16TopicNumerical Expressions DescriptionThis example shows how to convert "Negative four over the quantity eleven minus nine" into a numerical expression. The expression is written as -4 / (11 - 9), using division and grouping symbols to clarify the order of operations. |
Numerical Expressions |
|
Math Example: Language of Math--Numerical Expressions--Grouping Symbols--Example 17 | Math Example: Language of Math--Numerical Expressions--Grouping Symbols--Example 17TopicNumerical Expressions DescriptionThis example demonstrates converting "Negative six times the quantity negative one plus eight" into a numerical expression. The expression is written as -6 * (-1 + 8), using multiplication and grouping symbols to clearly show the order of operations. |
Numerical Expressions |
|
|
Math Example: Language of Math--Numerical Expressions--Grouping Symbols--Example 17 | Math Example: Language of Math--Numerical Expressions--Grouping Symbols--Example 17TopicNumerical Expressions DescriptionThis example demonstrates converting "Negative six times the quantity negative one plus eight" into a numerical expression. The expression is written as -6 * (-1 + 8), using multiplication and grouping symbols to clearly show the order of operations. |
Numerical Expressions |
|
Math Example: Language of Math--Numerical Expressions--Grouping Symbols--Example 18 | Math Example: Language of Math--Numerical Expressions--Grouping Symbols--Example 18TopicNumerical Expressions DescriptionThis example illustrates how to convert "Negative eleven multiplied by the quantity negative sixteen plus nine" into a numerical expression. The expression is written as -11 * (-16 + 9), using multiplication and grouping symbols to indicate the order of operations. |
Numerical Expressions |
|
|
Math Example: Language of Math--Numerical Expressions--Grouping Symbols--Example 18 | Math Example: Language of Math--Numerical Expressions--Grouping Symbols--Example 18TopicNumerical Expressions DescriptionThis example illustrates how to convert "Negative eleven multiplied by the quantity negative sixteen plus nine" into a numerical expression. The expression is written as -11 * (-16 + 9), using multiplication and grouping symbols to indicate the order of operations. |
Numerical Expressions |
|
Math Example: Language of Math--Numerical Expressions--Grouping Symbols--Example 19 | Math Example: Language of Math--Numerical Expressions--Grouping Symbols--Example 19TopicNumerical Expressions DescriptionThis example presents converting "Negative sixteen divided by the quantity negative seven plus thirteen" into a numerical expression. The expression is written as -16 / (-7 + 13), utilizing division and grouping symbols for clarity. |
Numerical Expressions |
|
|
Math Example: Language of Math--Numerical Expressions--Grouping Symbols--Example 19 | Math Example: Language of Math--Numerical Expressions--Grouping Symbols--Example 19TopicNumerical Expressions DescriptionThis example presents converting "Negative sixteen divided by the quantity negative seven plus thirteen" into a numerical expression. The expression is written as -16 / (-7 + 13), utilizing division and grouping symbols for clarity. |
Numerical Expressions |
|
Math Example: Language of Math--Numerical Expressions--Grouping Symbols--Example 2 | Math Example: Language of Math--Numerical Expressions--Grouping Symbols--Example 2TopicNumerical Expressions DescriptionThis example focuses on converting the statement "Eleven multiplied by the quantity sixteen plus four" into a numerical expression. The solution demonstrates that this can be written as 11 * ( 16 + 4 ). This example reinforces the use of grouping symbols to represent the phrase "the quantity" in mathematical notation. |
Numerical Expressions |
|
|
Math Example: Language of Math--Numerical Expressions--Grouping Symbols--Example 2 | Math Example: Language of Math--Numerical Expressions--Grouping Symbols--Example 2TopicNumerical Expressions DescriptionThis example focuses on converting the statement "Eleven multiplied by the quantity sixteen plus four" into a numerical expression. The solution demonstrates that this can be written as 11 * ( 16 + 4 ). This example reinforces the use of grouping symbols to represent the phrase "the quantity" in mathematical notation. |
Numerical Expressions |
|
Math Example: Language of Math--Numerical Expressions--Grouping Symbols--Example 20 | Math Example: Language of Math--Numerical Expressions--Grouping Symbols--Example 20TopicNumerical Expressions DescriptionThis example features converting "Negative six over the quantity negative ten plus eleven" into a numerical expression. The expression is written as -6 / (-10 + 11), using division and grouping symbols to clearly show the order of operations. |
Numerical Expressions |
|
|
Math Example: Language of Math--Numerical Expressions--Grouping Symbols--Example 20 | Math Example: Language of Math--Numerical Expressions--Grouping Symbols--Example 20TopicNumerical Expressions DescriptionThis example features converting "Negative six over the quantity negative ten plus eleven" into a numerical expression. The expression is written as -6 / (-10 + 11), using division and grouping symbols to clearly show the order of operations. |
Numerical Expressions |
|
Math Example: Language of Math--Numerical Expressions--Grouping Symbols--Example 21 | Math Example: Language of Math--Numerical Expressions--Grouping Symbols--Example 21TopicNumerical Expressions DescriptionThis example shows how to convert "Negative six times the quantity negative one minus eight" into a numerical expression. The expression is written as -6 * (-1 - 8), using multiplication and grouping symbols. |
Numerical Expressions |
|
|
Math Example: Language of Math--Numerical Expressions--Grouping Symbols--Example 21 | Math Example: Language of Math--Numerical Expressions--Grouping Symbols--Example 21TopicNumerical Expressions DescriptionThis example shows how to convert "Negative six times the quantity negative one minus eight" into a numerical expression. The expression is written as -6 * (-1 - 8), using multiplication and grouping symbols. |
Numerical Expressions |
|
Math Example: Language of Math--Numerical Expressions--Grouping Symbols--Example 22 | Math Example: Language of Math--Numerical Expressions--Grouping Symbols--Example 22TopicNumerical Expressions DescriptionThis example demonstrates converting "Negative eleven multiplied by the quantity negative sixteen minus nine" into a numerical expression. The expression is written as -11 * (-16 - 9), using multiplication and grouping symbols. |
Numerical Expressions |
|
|
Math Example: Language of Math--Numerical Expressions--Grouping Symbols--Example 22 | Math Example: Language of Math--Numerical Expressions--Grouping Symbols--Example 22TopicNumerical Expressions DescriptionThis example demonstrates converting "Negative eleven multiplied by the quantity negative sixteen minus nine" into a numerical expression. The expression is written as -11 * (-16 - 9), using multiplication and grouping symbols. |
Numerical Expressions |
|
Math Example: Language of Math--Numerical Expressions--Grouping Symbols--Example 23 | Math Example: Language of Math--Numerical Expressions--Grouping Symbols--Example 23TopicNumerical Expressions DescriptionThis example illustrates converting "Negative sixteen divided by the quantity negative seven minus thirteen" into a numerical expression. The expression is written as -16 / (-7 - 13), using division and grouping symbols. |
Numerical Expressions |
|
|
Math Example: Language of Math--Numerical Expressions--Grouping Symbols--Example 23 | Math Example: Language of Math--Numerical Expressions--Grouping Symbols--Example 23TopicNumerical Expressions DescriptionThis example illustrates converting "Negative sixteen divided by the quantity negative seven minus thirteen" into a numerical expression. The expression is written as -16 / (-7 - 13), using division and grouping symbols. |
Numerical Expressions |
|
Math Example: Language of Math--Numerical Expressions--Grouping Symbols--Example 24 | Math Example: Language of Math--Numerical Expressions--Grouping Symbols--Example 24TopicNumerical Expressions DescriptionThis example presents converting "Negative six over the quantity negative ten minus eleven" into a numerical expression. The expression is written as -6 / (-10 - 11), using division and grouping symbols. |
Numerical Expressions |
|
|
Math Example: Language of Math--Numerical Expressions--Grouping Symbols--Example 24 | Math Example: Language of Math--Numerical Expressions--Grouping Symbols--Example 24TopicNumerical Expressions DescriptionThis example presents converting "Negative six over the quantity negative ten minus eleven" into a numerical expression. The expression is written as -6 / (-10 - 11), using division and grouping symbols. |
Numerical Expressions |
|
Math Example: Language of Math--Numerical Expressions--Grouping Symbols--Example 25 | Math Example: Language of Math--Numerical Expressions--Grouping Symbols--Example 25TopicNumerical Expressions DescriptionThis example shows how to convert "Negative fifteen times the quantity fifteen plus negative seven" into a numerical expression. The expression is written as -15 * (15 + (-7)), using multiplication and grouping symbols. |
Numerical Expressions |
|
|
Math Example: Language of Math--Numerical Expressions--Grouping Symbols--Example 25 | Math Example: Language of Math--Numerical Expressions--Grouping Symbols--Example 25TopicNumerical Expressions DescriptionThis example shows how to convert "Negative fifteen times the quantity fifteen plus negative seven" into a numerical expression. The expression is written as -15 * (15 + (-7)), using multiplication and grouping symbols. |
Numerical Expressions |
|
Math Example: Language of Math--Numerical Expressions--Grouping Symbols--Example 26 | Math Example: Language of Math--Numerical Expressions--Grouping Symbols--Example 26TopicNumerical Expressions DescriptionThis example shows how to convert "Negative seventeen multiplied by the quantity eighteen plus negative eleven" into a numerical expression. The expression is written as -17 * (18 + (-11)), using multiplication and grouping symbols. |
Numerical Expressions |
|
|
Math Example: Language of Math--Numerical Expressions--Grouping Symbols--Example 26 | Math Example: Language of Math--Numerical Expressions--Grouping Symbols--Example 26TopicNumerical Expressions DescriptionThis example shows how to convert "Negative seventeen multiplied by the quantity eighteen plus negative eleven" into a numerical expression. The expression is written as -17 * (18 + (-11)), using multiplication and grouping symbols. |
Numerical Expressions |
|
Math Example: Language of Math--Numerical Expressions--Grouping Symbols--Example 27 | Math Example: Language of Math--Numerical Expressions--Grouping Symbols--Example 27TopicNumerical Expressions DescriptionThis example illustrates converting "Negative ten divided by the quantity fifteen plus negative eighteen" into a numerical expression. The expression is written as -10 / (15 + (-18)), using division and grouping symbols. |
Numerical Expressions |
|
|
Math Example: Language of Math--Numerical Expressions--Grouping Symbols--Example 27 | Math Example: Language of Math--Numerical Expressions--Grouping Symbols--Example 27TopicNumerical Expressions DescriptionThis example illustrates converting "Negative ten divided by the quantity fifteen plus negative eighteen" into a numerical expression. The expression is written as -10 / (15 + (-18)), using division and grouping symbols. |
Numerical Expressions |
|
Math Example: Language of Math--Numerical Expressions--Grouping Symbols--Example 28 | Math Example: Language of Math--Numerical Expressions--Grouping Symbols--Example 28TopicNumerical Expressions DescriptionThis example shows how to convert "Negative sixteen over the quantity ten plus negative six" into a numerical expression. The expression is written as -16 / (10 + (-6)), using division and grouping symbols. |
Numerical Expressions |
|
|
Math Example: Language of Math--Numerical Expressions--Grouping Symbols--Example 28 | Math Example: Language of Math--Numerical Expressions--Grouping Symbols--Example 28TopicNumerical Expressions DescriptionThis example shows how to convert "Negative sixteen over the quantity ten plus negative six" into a numerical expression. The expression is written as -16 / (10 + (-6)), using division and grouping symbols. |
Numerical Expressions |
|
Math Example: Language of Math--Numerical Expressions--Grouping Symbols--Example 29 | Math Example: Language of Math--Numerical Expressions--Grouping Symbols--Example 29TopicNumerical Expressions DescriptionThis example illustrates converting "Negative fifteen times the quantity fifteen minus negative seven" into a numerical expression. The expression is written as -15 * (15 - (-7)), using multiplication and grouping symbols. |
Numerical Expressions |
|
|
Math Example: Language of Math--Numerical Expressions--Grouping Symbols--Example 29 | Math Example: Language of Math--Numerical Expressions--Grouping Symbols--Example 29TopicNumerical Expressions DescriptionThis example illustrates converting "Negative fifteen times the quantity fifteen minus negative seven" into a numerical expression. The expression is written as -15 * (15 - (-7)), using multiplication and grouping symbols. |
Numerical Expressions |
|
Math Example: Language of Math--Numerical Expressions--Grouping Symbols--Example 3 | Math Example: Language of Math--Numerical Expressions--Grouping Symbols--Example 3TopicNumerical Expressions DescriptionThis example illustrates how to convert the statement "Twenty divided by the quantity nineteen plus seven" into a numerical expression. The solution shows that this can be expressed as 20 / ( 19 + 7 ). This example introduces division in combination with grouping symbols, expanding students' understanding of complex numerical expressions. |
Numerical Expressions |
|
|
Math Example: Language of Math--Numerical Expressions--Grouping Symbols--Example 3 | Math Example: Language of Math--Numerical Expressions--Grouping Symbols--Example 3TopicNumerical Expressions DescriptionThis example illustrates how to convert the statement "Twenty divided by the quantity nineteen plus seven" into a numerical expression. The solution shows that this can be expressed as 20 / ( 19 + 7 ). This example introduces division in combination with grouping symbols, expanding students' understanding of complex numerical expressions. |
Numerical Expressions |
|
Math Example: Language of Math--Numerical Expressions--Grouping Symbols--Example 30 | Math Example: Language of Math--Numerical Expressions--Grouping Symbols--Example 30TopicNumerical Expressions DescriptionThis example illustrates converting "Negative seventeen multiplied by the quantity eighteen minus negative eleven" into a numerical expression. The expression is written as -17 * (18 - (-11)), using multiplication and grouping symbols. |
Numerical Expressions |
|
|
Math Example: Language of Math--Numerical Expressions--Grouping Symbols--Example 30 | Math Example: Language of Math--Numerical Expressions--Grouping Symbols--Example 30TopicNumerical Expressions DescriptionThis example illustrates converting "Negative seventeen multiplied by the quantity eighteen minus negative eleven" into a numerical expression. The expression is written as -17 * (18 - (-11)), using multiplication and grouping symbols. |
Numerical Expressions |
|
Math Example: Language of Math--Numerical Expressions--Grouping Symbols--Example 31 | Math Example: Language of Math--Numerical Expressions--Grouping Symbols--Example 31TopicNumerical Expressions DescriptionThis example demonstrates converting "Negative ten divided by the quantity fifteen minus negative eighteen" into a numerical expression. The expression is written as -10 / (15 - (-18)), using division and grouping symbols. |
Numerical Expressions |
|
|
Math Example: Language of Math--Numerical Expressions--Grouping Symbols--Example 31 | Math Example: Language of Math--Numerical Expressions--Grouping Symbols--Example 31TopicNumerical Expressions DescriptionThis example demonstrates converting "Negative ten divided by the quantity fifteen minus negative eighteen" into a numerical expression. The expression is written as -10 / (15 - (-18)), using division and grouping symbols. |
Numerical Expressions |
|
Math Example: Language of Math--Numerical Expressions--Grouping Symbols--Example 32 | Math Example: Language of Math--Numerical Expressions--Grouping Symbols--Example 32TopicNumerical Expressions DescriptionThis example shows how to convert "Negative sixteen over the quantity ten minus negative six" into a numerical expression. The expression is written as -16 / (10 - (-6)), using division and grouping symbols. |
Numerical Expressions |
|
|
Math Example: Language of Math--Numerical Expressions--Grouping Symbols--Example 32 | Math Example: Language of Math--Numerical Expressions--Grouping Symbols--Example 32TopicNumerical Expressions DescriptionThis example shows how to convert "Negative sixteen over the quantity ten minus negative six" into a numerical expression. The expression is written as -16 / (10 - (-6)), using division and grouping symbols. |
Numerical Expressions |
