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Lesson Example Discussion Quiz: Class Homework

Step-2

Title: The Inverse Property

Grade: 6-a Lesson: S2-L3

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

Lesson Steps

Step	Type	Explanation	Answer
1	Problem	Find the multiplicative inverse of \$(12/8)\$ and 28.
2	Step	The given numbers are	\$(12/8)\$ and 28
3	Formula:	Any given fraction can be converted into its reciprocal by simply swapping the numerator and denominator values	\$ "a"/"b" = "b"/"a" \$
4	Step	So in this case, the multiplicative inverse of	\$ 12/8 = 8/12 \$
5	Step	To simplify, divide the numerator and denominator by their greatest common divisor, 4	\$ 8/12 = 2/3 \$
6	Step	The multiplicative inverse of a number a is another number b such that	a × b = 1
7	Step	To find the multiplicative inverse of 28, we need to find a number b such that	28 × b = 1 \$ b = 1/28 \$
8	Step	Therefore, the multiplicative inverse is \$ 12/8 = 2/3 \$ and \$28 = 1/28 \$.
9	Choice.A	These represent the accurate reciprocal values in a multiplication operation	\$(2/3)\$ and \$ 1/28 \$
10	Choice.B	- 28 doesn’t function as the multiplicative inverse for itself	\$(12/8)\$ and \$ -28 \$
11	Choice.C	These do not represent the accurate multiplicative inverses	\$-(2/3)\$ and \$ -1/28 \$
12	Choice.D	These inverses aren’t the right ones for multiplication	\$-(3/2)\$ and -28
13	Answer	Option	A
14	Sumup	Can you summarize what you’ve understood in the above steps?

Step

Type

Explanation

Answer

Problem

Find the multiplicative inverse of \$(12/8)\$ and 28.

Step

The given numbers are

\$(12/8)\$ and 28

Formula:

Any given fraction can be converted into its reciprocal by simply swapping the numerator and denominator values

\$ "a"/"b" = "b"/"a" \$

Step

So in this case, the multiplicative inverse of

\$ 12/8 = 8/12 \$

Step

To simplify, divide the numerator and denominator by their greatest common divisor, 4

\$ 8/12 = 2/3 \$

Step

The multiplicative inverse of a number a is another number b such that

a × b = 1

Step

To find the multiplicative inverse of 28, we need to find a number b such that

28 × b = 1
\$ b = 1/28 \$

Step

Therefore, the multiplicative inverse is \$ 12/8 = 2/3 \$ and \$28 = 1/28 \$.

Choice.A

These represent the accurate reciprocal values in a multiplication operation

\$(2/3)\$ and \$ 1/28 \$

Choice.B

- 28 doesn’t function as the multiplicative inverse for itself

\$(12/8)\$ and \$ -28 \$

Choice.C

These do not represent the accurate multiplicative inverses

\$-(2/3)\$ and \$ -1/28 \$

Choice.D

These inverses aren’t the right ones for multiplication

\$-(3/2)\$ and -28

Answer

Option

Sumup

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