Question

Evaluate.

(−16+0.6(−13)+1)2

What is the value of the expression?

Enter your answer as a simplified fraction in the box.

Evaluate.

(−16+0.6(−13)+1)2

What is the value of the expression?

Enter your answer as a simplified fraction in the box.

Answer 1

-45 and three-fifths

Explanation:

• Start the problem by removing parentheses, this allows for us to make the next step in the problem.

`=\left(-16-0.6* 13+1\right)* 2`

• Now, multiply the numbers in the innermost part of the parentheses, this being the middle. After, that, regroup.

`0.6 * 13 = 7.8`

• This would lead to the equation,

`=2\left(1-16-7.8\right)`

• Lastly, add and subtract.

`-16-7.8+1`

• This would equal,

`-22.8`

• Now, the problem becomes,

`2\left(-22.8\right)`

• And, this is the same as...

`-22.8* 2`

• Which would equal,

`=-45.6`

• And 0.6 simplifies to...

`= (3)/(5) \\= -45\:(3)/(5)`

Optional: How we converted 0.6 to 3/5

• First, identify the decimal.

`= 0.6`

• Second, identify which decimal place it is in. That would be the tenths place.
• Third, use this information. Turn the decimal into a fraction to kickstart the problem.

`(0.6)/(1) * (10)/(10) = (6)/(10)`

• Fourth and finally, factor and simplify. The greatest common factor 6 and 10 share is 2. Divide both sides by 2.

`(6/ 2)/(10/ 2)`

• Which equals,

`= (3)/(5)`

Hope this helps!

Answer 2

−45.6

−228/5

Explanation:

Convert to a mixed number by placing the numbers to the right of the decimal over

10

Reduce the fraction. Then, convert the mixed number to an improper fraction by multiplying the denominator by the whole number and adding the numerator to get the new numerator. Place this new numerator over the original denominator.