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# Common Core Standard 3.OA.B.5 Questions

Apply properties of operations as strategies to multiply and divide.2 Examples: If 6 × 4 = 24 is known, then 4 × 6 = 24 is also known. (Commutative property of multiplication.) 3 × 5 × 2 can be found by 3 × 5 = 15, then 15 × 2 = 30, or by 5 × 2 = 10, then 3 × 10 = 30. (Associative property of multiplication.) Knowing that 8 × 5 = 40 and 8 × 2 = 16, one can find 8 × 7 as 8 × (5 + 2) = (8 × 5) + (8 × 2) = 40 + 16 = 56. (Distributive property.)

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Grade 3 Fact Families CCSS: 3.OA.B.5
If the equation shown is true, which other equation must also true?
$xx$$=$
1. $+$$=$
2. $+$$=$
3. $xx$ $=$
4. $-:$$=$
Which method could be used to solve the multiplication sentence shown below?

$14 xx 18 = square$
1. $(14 xx 10) + (14 xx8)$
2. $(14 xx 10) xx (14 xx8)$
3. $(14 + 10) + (14 + 8)$
4. $(14 + 10) xx (14 + 8)$
Which is a way to find 7 x 8?
1. (7 x 5) + (7 x 2)
2. (4 x 8) + (3 x 8)
3. (7 x 5) + (8 x 1)
4. (5 x 8) + (2 x 7)
Grade 3 Fact Families CCSS: 3.OA.B.5
The numbers 9, 4, and 36 are a fact family. Which number sentence is part of the fact family for these numbers?
1. $9 + 4 = 13$
2. $36 - 9 = 27$
3. $4 xx 9 = 36$
4. $36 -: 6 = 6$
Grade 3 Number Properties CCSS: 3.OA.B.5
Which statement explains the equation $(6 xx 3) xx 2 = 6 xx (3 xx 2)$?
1. Changing the grouping of addends changes the sum.
2. Changing the grouping of factors changes the product.
3. Changing the grouping of the addends does not change the sum.
4. Changing the grouping of factors does not change the product.
Grade 3 Number Properties CCSS: 3.OA.B.5
Which multiplication property is shown?

$6 xx 7 = 7 xx 6$
1. Identity
2. Distributive
3. Associative
4. Commutative