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--Numerical Expressions--Multiplying Integers: Example 6 | Math Example--Numerical Expressions--Multiplying Integers: Example 6TopicNumerical Expressions DescriptionExample 6 demonstrates the multiplication of three integers, including a negative number: 3 × 6 × (-4). The solution shows that when multiplying multiple numbers with one negative factor, the result is negative. In this case, 3 × 6 × (-4) = -72. |
Numerical Expressions |
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Math Example--Numerical Expressions--Multiplying Integers: Example 6 | Math Example--Numerical Expressions--Multiplying Integers: Example 6TopicNumerical Expressions DescriptionExample 6 demonstrates the multiplication of three integers, including a negative number: 3 × 6 × (-4). The solution shows that when multiplying multiple numbers with one negative factor, the result is negative. In this case, 3 × 6 × (-4) = -72. |
Numerical Expressions |
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Math Example--Numerical Expressions--Multiplying Integers: Example 7 | Math Example--Numerical Expressions--Multiplying Integers: Example 7TopicNumerical Expressions DescriptionExample 7 presents the multiplication of three integers with a negative number in the middle: 2 × (-5) × 6. The solution demonstrates that the position of the negative number doesn't affect the result, which is negative when there's an odd number of negative factors. In this case, 2 × (-5) × 6 = -60. |
Numerical Expressions |
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Math Example--Numerical Expressions--Multiplying Integers: Example 7 | Math Example--Numerical Expressions--Multiplying Integers: Example 7TopicNumerical Expressions DescriptionExample 7 presents the multiplication of three integers with a negative number in the middle: 2 × (-5) × 6. The solution demonstrates that the position of the negative number doesn't affect the result, which is negative when there's an odd number of negative factors. In this case, 2 × (-5) × 6 = -60. |
Numerical Expressions |
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Math Example--Numerical Expressions--Multiplying Integers: Example 7 | Math Example--Numerical Expressions--Multiplying Integers: Example 7TopicNumerical Expressions DescriptionExample 7 presents the multiplication of three integers with a negative number in the middle: 2 × (-5) × 6. The solution demonstrates that the position of the negative number doesn't affect the result, which is negative when there's an odd number of negative factors. In this case, 2 × (-5) × 6 = -60. |
Numerical Expressions |
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Math Example--Numerical Expressions--Multiplying Integers: Example 7 | Math Example--Numerical Expressions--Multiplying Integers: Example 7TopicNumerical Expressions DescriptionExample 7 presents the multiplication of three integers with a negative number in the middle: 2 × (-5) × 6. The solution demonstrates that the position of the negative number doesn't affect the result, which is negative when there's an odd number of negative factors. In this case, 2 × (-5) × 6 = -60. |
Numerical Expressions |
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Math Example--Numerical Expressions--Multiplying Integers: Example 7 | Math Example--Numerical Expressions--Multiplying Integers: Example 7TopicNumerical Expressions DescriptionExample 7 presents the multiplication of three integers with a negative number in the middle: 2 × (-5) × 6. The solution demonstrates that the position of the negative number doesn't affect the result, which is negative when there's an odd number of negative factors. In this case, 2 × (-5) × 6 = -60. |
Numerical Expressions |
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Math Example--Numerical Expressions--Multiplying Integers: Example 7 | Math Example--Numerical Expressions--Multiplying Integers: Example 7TopicNumerical Expressions DescriptionExample 7 presents the multiplication of three integers with a negative number in the middle: 2 × (-5) × 6. The solution demonstrates that the position of the negative number doesn't affect the result, which is negative when there's an odd number of negative factors. In this case, 2 × (-5) × 6 = -60. |
Numerical Expressions |
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Math Example--Numerical Expressions--Multiplying Integers: Example 7 | Math Example--Numerical Expressions--Multiplying Integers: Example 7TopicNumerical Expressions DescriptionExample 7 presents the multiplication of three integers with a negative number in the middle: 2 × (-5) × 6. The solution demonstrates that the position of the negative number doesn't affect the result, which is negative when there's an odd number of negative factors. In this case, 2 × (-5) × 6 = -60. |
Numerical Expressions |
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Math Example--Numerical Expressions--Multiplying Integers: Example 7 | Math Example--Numerical Expressions--Multiplying Integers: Example 7TopicNumerical Expressions DescriptionExample 7 presents the multiplication of three integers with a negative number in the middle: 2 × (-5) × 6. The solution demonstrates that the position of the negative number doesn't affect the result, which is negative when there's an odd number of negative factors. In this case, 2 × (-5) × 6 = -60. |
Numerical Expressions |
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Math Example--Numerical Expressions--Multiplying Integers: Example 8 | Math Example--Numerical Expressions--Multiplying Integers: Example 8TopicNumerical Expressions DescriptionExample 8 depicts the multiplication of three integers with a negative number at the beginning: (-6) × 3 × 5. The solution shows that the position of the negative number doesn't affect the result, which is negative when there's an odd number of negative factors. In this case, (-6) × 3 × 5 = -90. |
Numerical Expressions |
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Math Example--Numerical Expressions--Multiplying Integers: Example 8 | Math Example--Numerical Expressions--Multiplying Integers: Example 8TopicNumerical Expressions DescriptionExample 8 depicts the multiplication of three integers with a negative number at the beginning: (-6) × 3 × 5. The solution shows that the position of the negative number doesn't affect the result, which is negative when there's an odd number of negative factors. In this case, (-6) × 3 × 5 = -90. |
Numerical Expressions |
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Math Example--Numerical Expressions--Multiplying Integers: Example 8 | Math Example--Numerical Expressions--Multiplying Integers: Example 8TopicNumerical Expressions DescriptionExample 8 depicts the multiplication of three integers with a negative number at the beginning: (-6) × 3 × 5. The solution shows that the position of the negative number doesn't affect the result, which is negative when there's an odd number of negative factors. In this case, (-6) × 3 × 5 = -90. |
Numerical Expressions |
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Math Example--Numerical Expressions--Multiplying Integers: Example 8 | Math Example--Numerical Expressions--Multiplying Integers: Example 8TopicNumerical Expressions DescriptionExample 8 depicts the multiplication of three integers with a negative number at the beginning: (-6) × 3 × 5. The solution shows that the position of the negative number doesn't affect the result, which is negative when there's an odd number of negative factors. In this case, (-6) × 3 × 5 = -90. |
Numerical Expressions |
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Math Example--Numerical Expressions--Multiplying Integers: Example 8 | Math Example--Numerical Expressions--Multiplying Integers: Example 8TopicNumerical Expressions DescriptionExample 8 depicts the multiplication of three integers with a negative number at the beginning: (-6) × 3 × 5. The solution shows that the position of the negative number doesn't affect the result, which is negative when there's an odd number of negative factors. In this case, (-6) × 3 × 5 = -90. |
Numerical Expressions |
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Math Example--Numerical Expressions--Multiplying Integers: Example 8 | Math Example--Numerical Expressions--Multiplying Integers: Example 8TopicNumerical Expressions DescriptionExample 8 depicts the multiplication of three integers with a negative number at the beginning: (-6) × 3 × 5. The solution shows that the position of the negative number doesn't affect the result, which is negative when there's an odd number of negative factors. In this case, (-6) × 3 × 5 = -90. |
Numerical Expressions |
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Math Example--Numerical Expressions--Multiplying Integers: Example 8 | Math Example--Numerical Expressions--Multiplying Integers: Example 8TopicNumerical Expressions DescriptionExample 8 depicts the multiplication of three integers with a negative number at the beginning: (-6) × 3 × 5. The solution shows that the position of the negative number doesn't affect the result, which is negative when there's an odd number of negative factors. In this case, (-6) × 3 × 5 = -90. |
Numerical Expressions |
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Math Example--Numerical Expressions--Multiplying Integers: Example 8 | Math Example--Numerical Expressions--Multiplying Integers: Example 8TopicNumerical Expressions DescriptionExample 8 depicts the multiplication of three integers with a negative number at the beginning: (-6) × 3 × 5. The solution shows that the position of the negative number doesn't affect the result, which is negative when there's an odd number of negative factors. In this case, (-6) × 3 × 5 = -90. |
Numerical Expressions |
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Math Example--Numerical Expressions--Multiplying Integers: Example 9 | Math Example--Numerical Expressions--Multiplying Integers: Example 9TopicNumerical Expressions DescriptionExample 9 demonstrates the multiplication of three integers: 9, -3, and -4. The solution shows that when multiplying three integers with two negative numbers and one positive number, the result is positive. In this case, 9 × (-3) × (-4) = 108. |
Numerical Expressions |
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Math Example--Numerical Expressions--Multiplying Integers: Example 9 | Math Example--Numerical Expressions--Multiplying Integers: Example 9TopicNumerical Expressions DescriptionExample 9 demonstrates the multiplication of three integers: 9, -3, and -4. The solution shows that when multiplying three integers with two negative numbers and one positive number, the result is positive. In this case, 9 × (-3) × (-4) = 108. |
Numerical Expressions |
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Math Example--Numerical Expressions--Multiplying Integers: Example 9 | Math Example--Numerical Expressions--Multiplying Integers: Example 9TopicNumerical Expressions DescriptionExample 9 demonstrates the multiplication of three integers: 9, -3, and -4. The solution shows that when multiplying three integers with two negative numbers and one positive number, the result is positive. In this case, 9 × (-3) × (-4) = 108. |
Numerical Expressions |
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Math Example--Numerical Expressions--Multiplying Integers: Example 9 | Math Example--Numerical Expressions--Multiplying Integers: Example 9TopicNumerical Expressions DescriptionExample 9 demonstrates the multiplication of three integers: 9, -3, and -4. The solution shows that when multiplying three integers with two negative numbers and one positive number, the result is positive. In this case, 9 × (-3) × (-4) = 108. |
Numerical Expressions |
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Math Example--Numerical Expressions--Multiplying Integers: Example 9 | Math Example--Numerical Expressions--Multiplying Integers: Example 9TopicNumerical Expressions DescriptionExample 9 demonstrates the multiplication of three integers: 9, -3, and -4. The solution shows that when multiplying three integers with two negative numbers and one positive number, the result is positive. In this case, 9 × (-3) × (-4) = 108. |
Numerical Expressions |
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Math Example--Numerical Expressions--Multiplying Integers: Example 9 | Math Example--Numerical Expressions--Multiplying Integers: Example 9TopicNumerical Expressions DescriptionExample 9 demonstrates the multiplication of three integers: 9, -3, and -4. The solution shows that when multiplying three integers with two negative numbers and one positive number, the result is positive. In this case, 9 × (-3) × (-4) = 108. |
Numerical Expressions |
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Math Example--Numerical Expressions--Multiplying Integers: Example 9 | Math Example--Numerical Expressions--Multiplying Integers: Example 9TopicNumerical Expressions DescriptionExample 9 demonstrates the multiplication of three integers: 9, -3, and -4. The solution shows that when multiplying three integers with two negative numbers and one positive number, the result is positive. In this case, 9 × (-3) × (-4) = 108. |
Numerical Expressions |
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Math Example--Numerical Expressions--Multiplying Integers: Example 9 | Math Example--Numerical Expressions--Multiplying Integers: Example 9TopicNumerical Expressions DescriptionExample 9 demonstrates the multiplication of three integers: 9, -3, and -4. The solution shows that when multiplying three integers with two negative numbers and one positive number, the result is positive. In this case, 9 × (-3) × (-4) = 108. |
Numerical Expressions |
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Math Example--Numerical Expressions--Order of Operations--Example 01 | Math Example--Numerical Expressions--Order of Operations--Example 01
Watch the following video on Order of Operations. (The transcript is included.) Video Transcript
A numerical expression includes numbers and operation symbols, addition, subtraction, multiplication, and division. Because addition is commutative, adding from left to right, or right to left, gives you the same result. The expressions 2 + 3 and 3 + 2 give the same result. But this isn't the case with all operations. |
Numerical Expressions |
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Math Example--Numerical Expressions--Order of Operations--Example 01 | Math Example--Numerical Expressions--Order of Operations--Example 01
Watch the following video on Order of Operations. (The transcript is included.) Video Transcript
A numerical expression includes numbers and operation symbols, addition, subtraction, multiplication, and division. Because addition is commutative, adding from left to right, or right to left, gives you the same result. The expressions 2 + 3 and 3 + 2 give the same result. But this isn't the case with all operations. |
Numerical Expressions |
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Math Example--Numerical Expressions--Order of Operations--Example 02 | Math Example--Numerical Expressions--Order of Operations--Example 02
Watch the following video on Order of Operations. (The transcript is included.)
Video Transcript A numerical expression includes numbers and operation symbols, addition, subtraction, multiplication, and division. Because addition is commutative, adding from left to right, or right to left, gives you the same result. The expressions 2 + 3 and 3 + 2 give the same result. But this isn't the case with all operations. Subtraction isn't commutative. |
Numerical Expressions |
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Math Example--Numerical Expressions--Order of Operations--Example 02 | Math Example--Numerical Expressions--Order of Operations--Example 02
Watch the following video on Order of Operations. (The transcript is included.)
Video Transcript A numerical expression includes numbers and operation symbols, addition, subtraction, multiplication, and division. Because addition is commutative, adding from left to right, or right to left, gives you the same result. The expressions 2 + 3 and 3 + 2 give the same result. But this isn't the case with all operations. Subtraction isn't commutative. |
Numerical Expressions |
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Math Example--Numerical Expressions--Order of Operations--Example 03 | Math Example--Numerical Expressions--Order of Operations--Example 03
Watch the following video on Order of Operations. (The transcript is included.)
Video Transcript A numerical expression includes numbers and operation symbols, addition, subtraction, multiplication, and division. Because addition is commutative, adding from left to right, or right to left, gives you the same result. The expressions 2 + 3 and 3 + 2 give the same result. But this isn't the case with all operations. Subtraction isn't commutative. |
Numerical Expressions |
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Math Example--Numerical Expressions--Order of Operations--Example 03 | Math Example--Numerical Expressions--Order of Operations--Example 03
Watch the following video on Order of Operations. (The transcript is included.)
Video Transcript A numerical expression includes numbers and operation symbols, addition, subtraction, multiplication, and division. Because addition is commutative, adding from left to right, or right to left, gives you the same result. The expressions 2 + 3 and 3 + 2 give the same result. But this isn't the case with all operations. Subtraction isn't commutative. |
Numerical Expressions |
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Math Example--Numerical Expressions--Order of Operations--Example 04 | Math Example--Numerical Expressions--Order of Operations--Example 04
Watch the following video on Order of Operations. (The transcript is included.) Video Transcript
A numerical expression includes numbers and operation symbols, addition, subtraction, multiplication, and division. Because addition is commutative, adding from left to right, or right to left, gives you the same result. The expressions 2 + 3 and 3 + 2 give the same result. But this isn't the case with all operations. |
Numerical Expressions |
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Math Example--Numerical Expressions--Order of Operations--Example 04 | Math Example--Numerical Expressions--Order of Operations--Example 04
Watch the following video on Order of Operations. (The transcript is included.) Video Transcript
A numerical expression includes numbers and operation symbols, addition, subtraction, multiplication, and division. Because addition is commutative, adding from left to right, or right to left, gives you the same result. The expressions 2 + 3 and 3 + 2 give the same result. But this isn't the case with all operations. |
Numerical Expressions |
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Math Example--Numerical Expressions--Order of Operations--Example 05 | Math Example--Numerical Expressions--Order of Operations--Example 05
Watch the following video on Order of Operations. (The transcript is included.) Video Transcript
A numerical expression includes numbers and operation symbols, addition, subtraction, multiplication, and division. Because addition is commutative, adding from left to right, or right to left, gives you the same result. The expressions 2 + 3 and 3 + 2 give the same result. But this isn't the case with all operations. |
Numerical Expressions |
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Math Example--Numerical Expressions--Order of Operations--Example 05 | Math Example--Numerical Expressions--Order of Operations--Example 05
Watch the following video on Order of Operations. (The transcript is included.) Video Transcript
A numerical expression includes numbers and operation symbols, addition, subtraction, multiplication, and division. Because addition is commutative, adding from left to right, or right to left, gives you the same result. The expressions 2 + 3 and 3 + 2 give the same result. But this isn't the case with all operations. |
Numerical Expressions |
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Math Example--Numerical Expressions--Order of Operations--Example 06 | Math Example--Numerical Expressions--Order of Operations--Example 06
Watch the following video on Order of Operations. (The transcript is included.) Video Transcript
A numerical expression includes numbers and operation symbols, addition, subtraction, multiplication, and division. Because addition is commutative, adding from left to right, or right to left, gives you the same result. The expressions 2 + 3 and 3 + 2 give the same result. But this isn't the case with all operations. |
Numerical Expressions |
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Math Example--Numerical Expressions--Order of Operations--Example 06 | Math Example--Numerical Expressions--Order of Operations--Example 06
Watch the following video on Order of Operations. (The transcript is included.) Video Transcript
A numerical expression includes numbers and operation symbols, addition, subtraction, multiplication, and division. Because addition is commutative, adding from left to right, or right to left, gives you the same result. The expressions 2 + 3 and 3 + 2 give the same result. But this isn't the case with all operations. |
Numerical Expressions |
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Math Example--Numerical Expressions--Order of Operations--Example 07 | Math Example--Numerical Expressions--Order of Operations--Example 07
Watch the following video on Order of Operations. (The transcript is included.) Video Transcript
A numerical expression includes numbers and operation symbols, addition, subtraction, multiplication, and division. Because addition is commutative, adding from left to right, or right to left, gives you the same result. The expressions 2 + 3 and 3 + 2 give the same result. But this isn't the case with all operations. |
Numerical Expressions |
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Math Example--Numerical Expressions--Order of Operations--Example 07 | Math Example--Numerical Expressions--Order of Operations--Example 07
Watch the following video on Order of Operations. (The transcript is included.) Video Transcript
A numerical expression includes numbers and operation symbols, addition, subtraction, multiplication, and division. Because addition is commutative, adding from left to right, or right to left, gives you the same result. The expressions 2 + 3 and 3 + 2 give the same result. But this isn't the case with all operations. |
Numerical Expressions |
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Math Example--Numerical Expressions--Order of Operations--Example 08 | Math Example--Numerical Expressions--Order of Operations--Example 08
Watch the following video on Order of Operations. (The transcript is included.) Video Transcript
A numerical expression includes numbers and operation symbols, addition, subtraction, multiplication, and division. Because addition is commutative, adding from left to right, or right to left, gives you the same result. The expressions 2 + 3 and 3 + 2 give the same result. But this isn't the case with all operations. |
Numerical Expressions |
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Math Example--Numerical Expressions--Order of Operations--Example 08 | Math Example--Numerical Expressions--Order of Operations--Example 08
Watch the following video on Order of Operations. (The transcript is included.) Video Transcript
A numerical expression includes numbers and operation symbols, addition, subtraction, multiplication, and division. Because addition is commutative, adding from left to right, or right to left, gives you the same result. The expressions 2 + 3 and 3 + 2 give the same result. But this isn't the case with all operations. |
Numerical Expressions |
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Math Example--Numerical Expressions--Order of Operations--Example 09 | Math Example--Numerical Expressions--Order of Operations--Example 09
Watch the following video on Order of Operations. (The transcript is included.) Video Transcript
A numerical expression includes numbers and operation symbols, addition, subtraction, multiplication, and division. Because addition is commutative, adding from left to right, or right to left, gives you the same result. The expressions 2 + 3 and 3 + 2 give the same result. But this isn't the case with all operations. |
Numerical Expressions |
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Math Example--Numerical Expressions--Order of Operations--Example 09 | Math Example--Numerical Expressions--Order of Operations--Example 09
Watch the following video on Order of Operations. (The transcript is included.) Video Transcript
A numerical expression includes numbers and operation symbols, addition, subtraction, multiplication, and division. Because addition is commutative, adding from left to right, or right to left, gives you the same result. The expressions 2 + 3 and 3 + 2 give the same result. But this isn't the case with all operations. |
Numerical Expressions |
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Math Example--Numerical Expressions--Order of Operations--Example 10 | Math Example--Numerical Expressions--Order of Operations--Example 10
Watch the following video on Order of Operations. (The transcript is included.) Video Transcript
A numerical expression includes numbers and operation symbols, addition, subtraction, multiplication, and division. Because addition is commutative, adding from left to right, or right to left, gives you the same result. The expressions 2 + 3 and 3 + 2 give the same result. But this isn't the case with all operations. |
Numerical Expressions |
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Math Example--Numerical Expressions--Order of Operations--Example 10 | Math Example--Numerical Expressions--Order of Operations--Example 10
Watch the following video on Order of Operations. (The transcript is included.) Video Transcript
A numerical expression includes numbers and operation symbols, addition, subtraction, multiplication, and division. Because addition is commutative, adding from left to right, or right to left, gives you the same result. The expressions 2 + 3 and 3 + 2 give the same result. But this isn't the case with all operations. |
Numerical Expressions |
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Math Example--Numerical Expressions--Order of Operations--Example 11 | Math Example--Numerical Expressions--Order of Operations--Example 11
Watch the following video on Order of Operations. (The transcript is included.) Video Transcript
A numerical expression includes numbers and operation symbols, addition, subtraction, multiplication, and division. Because addition is commutative, adding from left to right, or right to left, gives you the same result. The expressions 2 + 3 and 3 + 2 give the same result. But this isn't the case with all operations. |
Numerical Expressions |
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Math Example--Numerical Expressions--Order of Operations--Example 11 | Math Example--Numerical Expressions--Order of Operations--Example 11
Watch the following video on Order of Operations. (The transcript is included.) Video Transcript
A numerical expression includes numbers and operation symbols, addition, subtraction, multiplication, and division. Because addition is commutative, adding from left to right, or right to left, gives you the same result. The expressions 2 + 3 and 3 + 2 give the same result. But this isn't the case with all operations. |
Numerical Expressions |
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Math Example--Numerical Expressions--Order of Operations--Example 12 | Math Example--Numerical Expressions--Order of Operations--Example 12
Watch the following video on Order of Operations. (The transcript is included.) Video Transcript
A numerical expression includes numbers and operation symbols, addition, subtraction, multiplication, and division. Because addition is commutative, adding from left to right, or right to left, gives you the same result. The expressions 2 + 3 and 3 + 2 give the same result. But this isn't the case with all operations. |
Numerical Expressions |
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Math Example--Numerical Expressions--Order of Operations--Example 12 | Math Example--Numerical Expressions--Order of Operations--Example 12
Watch the following video on Order of Operations. (The transcript is included.) Video Transcript
A numerical expression includes numbers and operation symbols, addition, subtraction, multiplication, and division. Because addition is commutative, adding from left to right, or right to left, gives you the same result. The expressions 2 + 3 and 3 + 2 give the same result. But this isn't the case with all operations. |
Numerical Expressions |
