Understanding Multiplication and Associative Property

The video tutorial explains how to evaluate the expression 9/2 * X * 12 when X equals 1/4. It demonstrates using the associative property of multiplication to simplify calculations, resulting in a final answer of 27/2 or 13 1/2 as a mixed number. An alternative method is also shown, confirming the same result.

What is the initial expression to evaluate when X is 1/4?

• 9/2 / X / 12

• 9/2 + X + 12

• 9/2 * X * 12

• 9/2 - X - 12

Tags

CCSS.6.EE.A.3

Which property allows us to change the order of multiplication?

• Associative Property

• Identity Property

• Distributive Property

• Commutative Property

Tags

CCSS.4.NF.B.4B

CCSS.4.NF.B.4C

What is the result of multiplying 1/4 by 12?

• 5

• 6

• 3

• 4

Tags

CCSS.4.NF.B.4B

CCSS.4.NF.B.4C

What is the simplified form of 9/2 * 3?

• 9/2

• 18/2

• 12/2

• 27/2

How is 27/2 expressed as a mixed number?

• 13 1/2

• 14 1/2

• 12 1/2

• 15 1/2

Tags

CCSS.5.NF.B.6

What is the result of 9/2 * 1/4?

• 9/8

• 9/4

• 9/16

• 9/2

Tags

CCSS.5.NF.A.1

CCSS.5.NF.A.2

What is the next step after obtaining 9/8 in the alternative method?

• Multiply by 12

• Divide by 12

• Add 12

• Subtract 12

Tags

CCSS.4.NF.B.4B

CCSS.4.NF.B.4C

What is the simplified form of 9/8 * 12?

• 36/2

• 45/2

• 18/2

• 27/2

Tags

CCSS.4.NF.B.4B

CCSS.4.NF.B.4C

What is the final result of the expression 9/2 * X * 12 when X = 1/4?

• 27/2

• 18/2

• 36/2

• 45/2

Which method confirms the correctness of the solution?

• Guessing

• Asking a friend

• Re-evaluating with a different order

• Using a calculator