Use the order of operations to evaluate. 0. {3}^(2) / 9.8 - (5.4 + 1.4)0. {3}^(2) / 9.8 - |?|

Question

Use the order of operations to evaluate.
`0. {3}^(2) / 9.8 - (5.4 + 1.4)`
`0. {3}^(2) / 9.8 - |?|`

Answer 1

0.03

Step-by-step explanation

`\begin{gathered} 0.3^2\colon\lbrack9.8-(5.4+1.4)\rbrack \\ \end{gathered}`

The order of operations is a rule that tells the correct sequence of steps for evaluating a math expression. We can remember the order using PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)

Step 1

Parenthesis

`\begin{gathered} 0.3^2\colon\lbrack9.8-(6.8)\rbrack \\ 0.3^2\colon\lbrack3\rbrack \\ 0.3^2\colon3 \end{gathered}`

Step 2

Exponents

`\begin{gathered} 0.3^2\colon3 \\ 0.09\colon3 \end{gathered}`

Step 3

Division

`0.09\colon3=0.03`