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1.03 Properties of number operations

Interactive practice questions

Which two of the following show a correct application of the associative property?

$96+12+4=96+\left(12+4\right)$96+12+4=96+(12+4)

A

$96-12-4=96-\left(12-4\right)$96124=96(124)

B

$96\cdot12\cdot4=96\cdot\left(12\cdot4\right)$96·12·4=96·(12·4)

C

$96\div12\div4=96\div\left(12\div4\right)$96÷​12÷​4=96÷​(12÷​4)

D
Easy
1min

Which two of the following show a correct application of the commutative property?

Easy
< 1min

Which three of the following show a correct application of the distributive property?

Easy
2min

Which of the following expressions represents an application of:

Easy
< 1min
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Outcomes

6.NS.B.4

Find the greatest common factor of two whole numbers less than or equal to 100 and the least common multiple of two whole numbers less than or equal to 12. Use the distributive property to express a sum of two whole numbers 1–100 with a common factor as a multiple of a sum of two whole numbers with no common factor. For example, express 36 + 8 as 4 (9 + 2).

6.EE.A.3

Apply the properties of operations (including, but not limited to, commutative, associative, and distributive properties) to generate equivalent expressions. (The distributive property of multiplication over addition is prominent here. Negative coefficients are not an expectation at this grade level.) For example, apply the distributive property to the expression 3 (2 + x) to produce the equivalent expression 6 + 3x; apply the distributive property to the expression 24x + 18y to produce the equivalent expression 6 (4x + 3y); apply properties of operations to y + y + y to produce the equivalent expression 3y.

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