Question

1. aiden and his two friends ordered a pizza with 12 slices. together they ate \\(\frac{2}{3}\\) of the pizza. if they evenly divided what was left, how many slices would each of them receive?\

a. \\(\frac{1}{3}\\) slice\
b. \\(1\frac{1}{3}\\) slices\
c. 4 slices\
d. 8 slices\
\

1. what is the value of the expression \\(-2\left(-\frac{7}{9} \div \frac{1}{3}\

ight)\\)?\
a. \\(-4\frac{2}{3}\\)\
b. \\(-2\frac{7}{27}\\)\
c. \\(1\frac{5}{9}\\)\
d. \\(4\frac{2}{3}\\)\
\

1. oliver is trying to keep up with the current amount of money in his bank account. he uses positive numbers to show his deposits and negative numbers to show his withdrawals.\

\
which expression best represents oliver making 8 withdrawals of 25 dollars?\
a. 8(25)\
b. 25 − 8\
c. 8(−25)\
d. 8 + 25\
\

1. select the box in each row that identifies the equivalent decimal of each fraction.\

\

	0.6\\(\overline{3}\\)	0.6	0.625	0.\\(\overline{6}\\)	\
---	---	---	---	---	\
\\(\frac{42}{63}\\)	\\(\bigcirc\\)	\\(\bigcirc\\)	\\(\bigcirc\\)	\\(\bigcirc\\)	\
\\(\frac{30}{48}\\)	\\(\bigcirc\\)	\\(\bigcirc\\)	\\(\bigcirc\\)	\\(\bigcirc\\)	\
\\(\frac{36}{60}\\)	\\(\bigcirc\\)	\\(\bigcirc\\)	\\(\bigcirc\\)	\\(\bigcirc\\)	\
\\(\frac{57}{90}\\)	\\(\bigcirc\\)	\\(\bigcirc\\)	\\(\bigcirc\\)	\\(\bigcirc\\)

Explanation:

Question 4

Step1: Find slices eaten

Total slices = 12, fraction eaten = $\frac{2}{3}$. Slices eaten = $12\times\frac{2}{3}=8$.

Step2: Find slices left

Slices left = $12 - 8 = 4$.

Step3: Divide left slices

Number of people = 3 (Aiden + 2 friends). Each gets $\frac{4}{3}=1\frac{1}{3}$.

Step1: Simplify division inside

$\frac{-7}{9}\div\frac{1}{3}=\frac{-7}{9}\times3=\frac{-7}{3}$.

Step2: Multiply by -2

$-2\times\frac{-7}{3}=\frac{14}{3}=4\frac{2}{3}$.

Withdrawals are negative. 8 withdrawals of 25: $8\times(-25)=8(-25)$.

Answer:

B. $1\frac{1}{3}$ slices

Question 5