PEMDAS Order of Operations Practice

Flashcards covering PEMDAS order of operations practice problems, intermediate steps, and evaluated solutions from the lecture notes.

What is the step-by-step simplification and final evaluated result of the expression $-2(-15+8)^2$?

First, simplify inside the parentheses to get $-2(-7)^2$, then evaluate the exponent to get $-2(49)$, which results in a final value of $-98$.

In the expression $-2(-15+8)^2$, what is the result of evaluating the operation inside the parentheses?

$$-15 + 8 = -7$$

In problem $l$, how is the expression $-10(-5)^2 - (-15)$ simplified and evaluated?

It simplifies to $-10(25) + 15 = -250 + 15$, giving a final result of $-235$.

In problem $l$, what is the intermediate multiplication step before adding $15$?

$$-10 \times 25 = -250$$

According to problem $m$, how is the expression $-78 - 19 - 32 + (-17)$ rewritten as addition of signed numbers?

$$-78 + (-19) + (-32) + (-17)$$

In problem $m$, what intermediate sum is reached after combining the first two terms and the last two terms?

$$-97 + (-49)$$

What is the final simplified result of problem $m$, $-78 - 19 - 32 + (-17)$?

$$-146$$

In the numerator of problem $k$, what is the evaluation of $20 - 3(-2)$?

It is rewritten as $20 + (-3)(-2) = 20 + 6$, which equals $26$.