Question

Please help 20 points

2. Evaluate the expression. Show your work.

-1.0 + 12.4 ÷ (-0.2)² + 0.01

Answer 1

Answer is
309.1
You convert the expression
Then use the properties of exponents
Multiply by the reciprocal
Simplify the expression
Multiply
Then the solution is 309.01

Answer 2

In this type of exercise we must use the hierarchy of operations that reads like this:

1. Brackets ⇝ []
2. Parenthesis ⇝ ()
3. Exponents ⇝ a^b
4. Multiplications and divisions ⇝ a × b / a ÷ b
5. Addition and subtraction ⇝ a + b / a - b

Remember that if there are only additions or subtractions or only divisions and multiplications, you must solve from left to right.

We apply the hierarchy of operations to the problem:

`⇝ \: - 0.1 \: + \: 12.4 \: / \: \underline{( - 0.2) ^(2) } \: + \: 0.01`

`⇝ \: - 0.1 \: + \underline{ \: 12.4 \: / \: 0.04} \: + \: 0.01`

`⇝\underline{ \: - 0.1 \: + \: 310} \: + \: 0.01`

`⇝ \: 309.9 \: + \: 0.01`

`⇝ \: \boxed{ 309.91}`

ANSWER:

The expression is equal to 309.91.