Apply Properties of Multiplication - 3rd Grade Math
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What property of multiplication states that $(a \times b) \times c = a \times (b \times c)$?
What property of multiplication states that $(a \times b) \times c = a \times (b \times c)$?
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Associative property of multiplication. Grouping doesn't change the product when multiplying three or more numbers.
Associative property of multiplication. Grouping doesn't change the product when multiplying three or more numbers.
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What property shows $a \times (b + c) = (a \times b) + (a \times c)$?
What property shows $a \times (b + c) = (a \times b) + (a \times c)$?
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Distributive property. Multiply each addend separately, then add the products.
Distributive property. Multiply each addend separately, then add the products.
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What is $4 \times 6$ if you know $6 \times 4 = 24$?
What is $4 \times 6$ if you know $6 \times 4 = 24$?
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$24$. Commutative property: order doesn't matter, so $4 \times 6 = 6 \times 4$.
$24$. Commutative property: order doesn't matter, so $4 \times 6 = 6 \times 4$.
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Identify the property used in $12 \times 5 = (10 \times 5) + (2 \times 5)$.
Identify the property used in $12 \times 5 = (10 \times 5) + (2 \times 5)$.
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Distributive property. Breaking 12 into $(10 + 2)$ and distributing shows distributive property.
Distributive property. Breaking 12 into $(10 + 2)$ and distributing shows distributive property.
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What is $6 \times 9$ using $6 \times (10 - 1)$?
What is $6 \times 9$ using $6 \times (10 - 1)$?
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$54$. $6 \times 9 = 6 \times 10 - 6 \times 1 = 60 - 6 = 54$.
$54$. $6 \times 9 = 6 \times 10 - 6 \times 1 = 60 - 6 = 54$.
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What is $8 \times 7$ using $8 \times (5 + 2)$ and known facts $8 \times 5$ and $8 \times 2$?
What is $8 \times 7$ using $8 \times (5 + 2)$ and known facts $8 \times 5$ and $8 \times 2$?
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$56$. $8 \times 7 = 8 \times 5 + 8 \times 2 = 40 + 16 = 56$.
$56$. $8 \times 7 = 8 \times 5 + 8 \times 2 = 40 + 16 = 56$.
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Identify the property used to rewrite $7 \times 9$ as $9 \times 7$.
Identify the property used to rewrite $7 \times 9$ as $9 \times 7$.
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Commutative property of multiplication. Changing the order of factors uses the commutative property.
Commutative property of multiplication. Changing the order of factors uses the commutative property.
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Identify the property used to rewrite $(3 \times 5) \times 2$ as $3 \times (5 \times 2)$.
Identify the property used to rewrite $(3 \times 5) \times 2$ as $3 \times (5 \times 2)$.
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Associative property of multiplication. Regrouping factors uses the associative property.
Associative property of multiplication. Regrouping factors uses the associative property.
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What is $3 \times 5 \times 2$ if you group as $(3 \times 5) \times 2$?
What is $3 \times 5 \times 2$ if you group as $(3 \times 5) \times 2$?
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$30$. First multiply $3 \times 5 = 15$, then $15 \times 2 = 30$.
$30$. First multiply $3 \times 5 = 15$, then $15 \times 2 = 30$.
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What is $6 \times 14$ using $6 \times (10 + 4)$?
What is $6 \times 14$ using $6 \times (10 + 4)$?
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$84$. $6 \times 14 = 6 \times 10 + 6 \times 4 = 60 + 24 = 84$.
$84$. $6 \times 14 = 6 \times 10 + 6 \times 4 = 60 + 24 = 84$.
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What is $4 \times 13$ using $4 \times (10 + 3)$?
What is $4 \times 13$ using $4 \times (10 + 3)$?
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$52$. $4 \times 13 = 4 \times 10 + 4 \times 3 = 40 + 12 = 52$.
$52$. $4 \times 13 = 4 \times 10 + 4 \times 3 = 40 + 12 = 52$.
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What is $9 \times 6$ using $9 \times (5 + 1)$?
What is $9 \times 6$ using $9 \times (5 + 1)$?
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$54$. $9 \times 6 = 9 \times 5 + 9 \times 1 = 45 + 9 = 54$.
$54$. $9 \times 6 = 9 \times 5 + 9 \times 1 = 45 + 9 = 54$.
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What is $7 \times 8$ using $7 \times (5 + 3)$?
What is $7 \times 8$ using $7 \times (5 + 3)$?
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$56$. $7 \times 8 = 7 \times 5 + 7 \times 3 = 35 + 21 = 56$.
$56$. $7 \times 8 = 7 \times 5 + 7 \times 3 = 35 + 21 = 56$.
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Find the missing number: $8 \times (3 + 4) = (8 \times 3) + (8 \times \square)$.
Find the missing number: $8 \times (3 + 4) = (8 \times 3) + (8 \times \square)$.
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$4$. Distributive property: $8 \times 4$ completes the equation.
$4$. Distributive property: $8 \times 4$ completes the equation.
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Find the missing number: $(6 \times \square) \times 5 = 6 \times (4 \times 5)$.
Find the missing number: $(6 \times \square) \times 5 = 6 \times (4 \times 5)$.
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$4$. Associative property: the missing factor must be 4.
$4$. Associative property: the missing factor must be 4.
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