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.