Question

1. write the typical acronyms for the order of operations, make up your own \saying\.

p -
e -
m -
d -
a -
s -

1. round 0.0819 to the nearest tenth.
2. write 0.0819 in scientific notation.
3. true or false: you need parentheses when you take a negative number to an even power.
4. evaluate the following expressions, making sure to show each step separately. or else no credit!

a.) 15 - 3 - 4
b.) 2(3 - 7)^2
c.) (2 + 6)^2
d.) 2^2 + 6^2
e.) 25 + 8 + 4 - 9
f.)

1. evaluate the following. show each pemdas step below the problem. circle your final answer...

a.) 3 + 4 - 7·2 + 1·6 - 9 + 5^2
b.) (3 + 4) - 7(2 + 1) + 6 - (9 + 5)^2

Explanation:

Step1: Evaluate 3 + 4 - 7·2 + 1·6 - 9 + 5²

Multiplication and Exponentiation

First, calculate \(7\cdot2 = 14\), \(1\cdot6=6\), and \(5^{2}=25\).
The expression becomes \(3 + 4-14 + 6-9 + 25\).

Addition and Subtraction (from left - to - right)

\(3+4 = 7\), then \(7-14=-7\), \(-7 + 6=-1\), \(-1-9=-10\), \(-10 + 25 = 15\).

Step2: Evaluate \((3 + 4)-7(2 + 1)+6-(9 + 5)^{2}\)

Parentheses

First, calculate \(3 + 4=7\), \(2 + 1 = 3\), \(9+5 = 14\).
The expression becomes \(7-7\times3+6 - 14^{2}\).

Multiplication and Exponentiation

Calculate \(7\times3 = 21\) and \(14^{2}=196\).
The expression is \(7-21 + 6-196\).

Addition and Subtraction (from left - to - right)

\(7-21=-14\), \(-14 + 6=-8\), \(-8-196=-204\).

Answer:

a) \(15\)
b) \(-204\)