Question

kiara tried to evaluate an expression. here is her work:
$5^3 - 3 + 24 \div (8 - 4) \cdot 2$
$= 5^3 - 3 + 24 \div 4 \cdot 2$ step 1
$= 5^3 - 3 + 6 \cdot 2$ step 2
$= 5^3 - 3 + 12$ step 3
$= 5^3 - 15$ step 4
$= 125 - 15$ step 5
$= 110$ step 6
is kiaras work correct?
no, kiara made a mistake going from the given expression to step 1. kiara should have divided 24 by 8 instead of subtracting. the order of operations says to divide before you subtract.
no, kiara made a mistake going from step 1 to step 2. kiara should have multiplied 4 and 2 before dividing. the order of operations says to multiply before you divide.
yes, kiaras work is correct.

Explanation:

Step1: Evaluate inner parentheses

$8-4=4$, so expression becomes $5^3 - [3 + 24 \div 4 \cdot 2]$ (matches Kiara's Step1)

Step2: Do division/multiplication left to right

First, $24\div4=6$, expression becomes $5^3 - [3 + 6 \cdot 2]$ (matches Kiara's Step2)

Step3: Complete remaining multiplication

$6\cdot2=12$, expression becomes $5^3 - [3 + 12]$ (matches Kiara's Step3)

Step4: Evaluate bracket addition

$3+12=15$, expression becomes $5^3 - 15$ (matches Kiara's Step4)

Step5: Calculate exponent

$5^3=125$, expression becomes $125 - 15$ (matches Kiara's Step5)

Step6: Final subtraction

$125-15=110$ (matches Kiara's Step6)

Answer:

Yes, Kiara's work is correct.