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Step-3

Title: Commutative Property

Grade: 6-a Lesson: S1-L8

Explanation: Hello Students, time to practice and review the steps for the problem.

Lesson Steps

Step	Type	Explanation	Answer
1	Problem	Use the commutative property of multiplication to find the value of a variable: (18 × x) = (16 × 18)
2	Step	The given equation	(18 × x) = (16 × 18)
3	Step	Commutative property of multiplication	(a × b) = (b × a)
4	Step	Now, we can solve for x:	(18 × x) = (16 × 18)
5	Step	After multiplication	18x = 288
6	Step	Move the x coefficient to the right side then we get x value	\$ x = \cancel(288)^(16)/\cancel(18)^1 \$ x = 16
7	Step	So, the value of the variable x is 16.
8	Choice.A	Incorrect; it implies 18 times x equals 34, contrary to the given equation. It lacks commutative property application	34
9	Choice.B	Option B implies x equals 18, yet by applying the commutative property, x is accurately 16	16
10	Choice.C	It’s accurate by balancing both sides using the Commutative Property of Multiplication, maintaining equation equality	16
11	Choice.D	Incorrect; it’s derived from 16 multiplied by 18, not helpful for determining the value of x	288
12	Answer	Option	C
13	Sumup	Can you summarize what you’ve understood in the above steps?

Step

Type

Explanation

Answer

Problem

Use the commutative property of multiplication to find the value of a variable:
(18 × x) = (16 × 18)

Step

The given equation

(18 × x) = (16 × 18)

Step

Commutative property of multiplication

(a × b) = (b × a)

Step

Now, we can solve for x:

(18 × x) = (16 × 18)

Step

After multiplication

18x = 288

Step

Move the x coefficient to the right side then we get x value

\$ x = \cancel(288)^(16)/\cancel(18)^1 \$

x = 16

Step

So, the value of the variable x is 16.

Choice.A

Incorrect; it implies 18 times x equals 34, contrary to the given equation. It lacks commutative property application

Choice.B

Option B implies x equals 18, yet by applying the commutative property, x is accurately 16

Choice.C

It’s accurate by balancing both sides using the Commutative Property of Multiplication, maintaining equation equality

Choice.D

Incorrect; it’s derived from 16 multiplied by 18, not helpful for determining the value of x

288

Answer

Option

Sumup

Can you summarize what you’ve understood in the above steps?