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Lesson Example Discussion Quiz: Class Homework

Step-4

Title: The Identity property

Grade: 6-b Lesson: S2-L4

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

Discussion: Step1 Step2 Step3 Step4 Step5

Lesson Steps

Step	Type	Explanation	Answer
1	Problem	Solve for y in the equation \$9/5y = 9/5\$ using the Multiplicative Identity Property.
2	Step	The given equation is	\$9/5y = 9/5\$
3	Step	Divide \$ 9/5 \$ both sides of the equation:	\$(( 9/5 )y)/( 9/5 ) \$ = \$( 9/5 ) / ( 9/5 )\$
4	Hint	Symbolically, Multiplicative Identity Property can be expressed as:	a ⋅ 1 = a, (where a is any real number)
5	Hint	Recognize that multiplying any expression by 1 does not change the expression.
6	Step	According to the multiplicative identity property	( y ) ( 1 ) = 1 simplifies to y = 1
7	Step	So, the final simplified expression is y = 1.
8	Choice.A	The error lies in the absence of the correct multiplicative identity; the outcome should be y = 1, not y = 2	y = 2
9	Choice.B	This is incorrect because it does not correspond to the multiplicative identity of the given equation where we got the result as y = 1, not y = 4	y = 4
10	Choice.C	This is incorrect because it does not correspond to the multiplicative identity of the given equation where we got the result as y = 1, not y = 0	y = 0
11	Choice.D	This is the accurate choice for the multiplicative identity, yielding y = 1 as the outcome	y = 1
12	Answer	Option	D
13	Sumup	Can you summarize what you’ve understood in the above steps?

Step

Type

Explanation

Answer

Problem

Solve for y in the equation \$9/5y = 9/5\$ using the Multiplicative Identity Property.

Step

The given equation is

\$9/5y = 9/5\$

Step

Divide \$ 9/5 \$ both sides of the equation:

\$(( 9/5 )y)/( 9/5 ) \$ = \$( 9/5 ) / ( 9/5 )\$

Hint

Symbolically, Multiplicative Identity Property can be expressed as:

a ⋅ 1 = a, (where a is any real number)

Hint

Recognize that multiplying any expression by 1 does not change the expression.

Step

According to the multiplicative identity property

( y ) ( 1 ) = 1 simplifies to y = 1

Step

So, the final simplified expression is y = 1.

Choice.A

The error lies in the absence of the correct multiplicative identity; the outcome should be y = 1, not y = 2

y = 2

Choice.B

This is incorrect because it does not correspond to the multiplicative identity of the given equation where we got the result as y = 1, not y = 4

y = 4

Choice.C

This is incorrect because it does not correspond to the multiplicative identity of the given equation where we got the result as y = 1, not y = 0

y = 0

Choice.D

This is the accurate choice for the multiplicative identity, yielding y = 1 as the outcome

y = 1

Answer

Option

Sumup

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

Discussion: Step1 Step2 Step3 Step4 Step5