Question

Use the commutative property to create equivalent expressions. Which expressions are equivalent to 2.2t + 3.5 + 9.8? Check all that apply. 3.5 + 2.2t + 9.8 3 + 2t + 9 2.2 + 3.5 + 9.8t 9.8 + 3.5 + 2.2t 2.2t + 9.8 + 3.5 2.2t + 35.98

Answer 1

The answer is:

`3.5 + 2.2t + 9.8` (Option 1).

`9.8 + 3.5 + 2.2t` (Option 4).

`2.2t + 9.8 + 3.5` (Option 5).

The explanation for this answer is shown below:

1. The commutative property of addtion establishes that if you change the order of the addends, the sum will not change.

2. Let's say that
`a` and
`b` are real numbers, Then they can added them to obtain a result
`c`:

`a+b=c`

3. If you change the order, you will obtain the same result:

`b+a=c`

4. Therefore, the only options that show the applicaction of this property, are the options shown above.

Answer 2

The answer is:

`3.5 + 2.2t + 9.8` (Option 1).

`9.8 + 3.5 + 2.2t` (Option 4).

`2.2t + 9.8 + 3.5` (Option 5).

The explanation for this answer is shown below:

1. The commutative property of addtion establishes that if you change the order of the addends, the sum will not change.

2. Let's say that
`a` and
`b` are real numbers, Then they can added them to obtain a result
`c`:

`a+b=c`

3. If you change the order, you will obtain the same result:

`b+a=c`

4. Therefore, the only options that show the applicaction of this property, are the options shown above.