Exploring the Distributive Property in Arithmetic

What does 'distribute' mean in the context of the distributive property?

• To combine all elements into a single group

• To divide something among members of a group

• To subtract one number from each member of a group

• To multiply two numbers together

Tags

CCSS.3.OA.B.5

What is the first step according to the order of operations?

• Subtraction

• Operations inside of groups

• Addition

• Multiplication

Tags

CCSS.5.OA.A.1

CCSS.5.OA.A.2

How does the distributive property change the expression 3*(4+6)?

• 3*4*6

• 4+6*3

• 3*4 + 3*6

• 3+4+6

Tags

CCSS.3.OA.B.5

What is the final result of applying the distributive property to 3*(4+6)?

• 12

• 18

• 30

• 24

Tags

CCSS.3.OA.B.5

In the context of the distributive property, what does distributing a factor mean?

• Subtracting the factor from each member of the group

• Multiplying the factor by each member of the group individually

• Adding the factor to each member of the group

• Dividing the factor by each member of the group

Tags

CCSS.3.OA.B.5

Why might the distributive property be preferred in some situations?

• It always simplifies to a smaller number

• It can make some calculations easier to perform mentally

• It is the only way to solve multiplication problems

• It reduces the need for addition

Tags

CCSS.7.NS.A.2C

What does the distributive property allow us to do with the expression 8*(50+3)?

• 8*50*3

• 8*50 + 8*3

• 50+3*8

• 8+50+3

Tags

CCSS.3.OA.B.5

Why is the distributive property considered an alternate path to the same answer?

• Because it offers a different method that leads to the same result

• Because it always leads to a different result

• Because it simplifies expressions differently

• Because it provides a shortcut to the answer

Tags

CCSS.7.NS.A.1D

How does the distributive property simplify multi-digit multiplication problems?

• By converting them into addition problems

• By breaking up the multi-digit factor into a group sum

• By eliminating the need for multiplication

• By automatically solving the problem

Tags

CCSS.4.NBT.B.5

What is the result of applying the distributive property to 5*(40+7)?

• 235

• 245

• 220

• 210

Tags

CCSS.6.NS.B.4