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Michael was asked to give examples of the identity property of addition and the identity property of multiplication. Below are his answers:

Identity property of addition: [tex][tex]$8 + 1 = 8$[/tex][/tex]
Identity property of multiplication: [tex][tex]$8 \cdot 0 = 0$[/tex][/tex]

What was Michael's mistake?

A. He should have added 0 to 8 and multiplied 1 by 8.
B. He should have [tex][tex]$8 + 1 = 9$[/tex][/tex].
C. He should have [tex][tex]$8 \cdot 0 = 8$[/tex][/tex].
D. He should have distributed the 8.



Answer :

GinnyAnswer
Let's carefully analyze Michael's mistakes regarding the identity properties of addition and multiplication.

1. Identity Property of Addition:
Michael wrote [tex]\(8 + 1 = 8\)[/tex].

The identity property of addition states that any number plus zero is equal to the number itself. In other words:
[tex]\[ a + 0 = a \][/tex]
So for this to hold true in the case of Michael's example:
[tex]\[ 8 + 0 = 8 \][/tex]
Michael should have added 0 to 8, not 1.

2. Identity Property of Multiplication:
Michael wrote [tex]\(8 \cdot 0 = 0\)[/tex].

The identity property of multiplication states that any number multiplied by one is equal to the number itself. In other words:
[tex]\[ a \cdot 1 = a \][/tex]
So for this to hold true in the case of Michael's example:
[tex]\[ 8 \cdot 1 = 8 \][/tex]
Michael should have multiplied 1 by 8, not 0.

Given these corrections, Michael’s mistakes were:

1. He should have added [tex]\(0\)[/tex] to [tex]\(8\)[/tex] (for the identity property of addition).
2. He should have multiplied [tex]\(1\)[/tex] by [tex]\(8\)[/tex] (for the identity property of multiplication).

Thus, Michael's mistakes can be summarized correctly as follows:
- He should have added 0 to 8 and multiplied 1 by 8.

So the correct choice from the options given is:
- He should have added 0 to 8 and multiplied 1 by 8.

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