Decide whether the statement is an example of the commutative, associative, identity, inverse, or distributive property. $$ 1+12=12+9 $$ Choose the correct answer below. A. identity property B. associative property C. commutative property D. distributive property E. inverse property

Question

UpStudy AI · Accepted Answer

$$
\textbf{Step 1: Identify the property of addition.}
$$

The commutative property of addition states that for any numbers $$ a $$ and $$ b $$,
$$
a + b = b + a.
$$

$$
\textbf{Step 2: Compare with the given statement.}
$$

The given statement is
$$
1+12 = 12+9.
$$
Normally, to illustrate the commutative property, the two sides of the equation should have the same terms, but in reverse order. For example, the commutative property would give
$$
1+12 = 12+1.
$$

$$
\textbf{Step 3: Analyze the difference.}
$$

Since the right side of the given equation is $$12+9$$ instead of $$12+1$$, the equation
$$
1+12 = 12+9
$$
could be seen as intending to swap the order of the addends. The intent is to demonstrate the commutative property, even though there appears to be a misprint in the second term on the right-hand side.

$$
\textbf{Step 4: Choose the correct answer.}
$$

Given the options and the intended demonstration of swapping the order of addition, the statement is an example of the commutative property.

Thus, the correct answer is:

C. commutative property.
The statement is an example of the commutative property.

Decide whether the statement is an example of the commutative, associative, identity, inverse, or distributive property. \[ 1+12=12+9 \] Choose the correct answer below. A. identity property B. associative property C. commutative property D. distributive property E. inverse property

Upstudy AI Solution

Answer

Solution

Extra Insights

Related Questions

Latest Algebra Questions