Calculate $1 \frac{7}{15} \div 1 \frac{11}{25}$ by multiplying by the reciprocal.

Use the expression $-4.5+2(3.1-9.8)^2$ to answer the following. a) Describe the order of operations required to calculate the answer. b) Calculate the answer.

Determine each product.

a) $\frac{1}{2} \times \frac{1}{4}$

c) $\frac{2}{5} \times \frac{3}{10}$

b) $\frac{2}{3} \times \frac{3}{4}$

d) $\frac{1}{6} \times \frac{4}{5}$"

Estimate the two consecutive integers between which each answer will lie.

a) $3.64+72.9$

b) $-6.5(-10.1)$

c) $-9.37-5.93$

d) $-\frac{3.046}{10}$

Between which two whole numbers will each sum lie?

a) $4 \frac{1}{2}+8 \frac{1}{6}$

b) $3 \frac{3}{4}+6 \frac{1}{5}$

c) $4 \frac{1}{3}+12 \frac{5}{8}$

d) $1 \frac{4}{5}+6 \frac{2}{3}$

e) $34 \frac{7}{10}+16 \frac{3}{4}$

f) $11 \frac{1}{2}+41 \frac{3}{5}$"

Calculate without using a calculator.

a) $1 \frac{3}{4} \times 3 \frac{1}{2}$

b) $5 \frac{7}{9} \times 6 \frac{3}{4}$

c) $1 \frac{2}{3} \div 4 \frac{5}{6}$

d) $4 \frac{3}{4} \div 9 \frac{1}{2}$

Stock shares of Champs Sporting Equipment opened at $12 \frac{1}{8}$ and closed at the end of the day at $9 \frac{1}{2}$. Calculate the change in the stock on this day.

Which set of numbers is arranged in ascending order (least to greatest)?

A. $-\frac{11}{5}, \frac{-11}{-5},-2 \frac{2}{5}$

B. $\frac{-11}{-5},-\frac{11}{5},-2 \frac{2}{5}$

C. $-2 \frac{2}{5},-\frac{11}{5}, \frac{-11}{-5}$

D. $-2 \frac{2}{5}, \frac{-11}{-5},-\frac{11}{5}$

John works part-time at a restaurant. On Friday he worked $3 \frac{1}{4} \mathrm{~h}$ and on Saturday he worked $6 \frac{1}{2} \mathrm{~h}$. How many hours did he work altogether?

Show the steps required to evaluate the following expressions. a) $-7^2-2(-3)^3$ b) $-4^2-(-4)^2-4^2$

Without evaluating, determine which expressions have the same answer as $\frac{3}{4}\left(\frac{5}{8}\right)$.

a) $-\frac{3}{4}\left(-\frac{5}{8}\right)$

b) $\frac{-3}{4}\left(\frac{5}{-8}\right)$

c) $\frac{-3}{4}\left(\frac{-5}{8}\right)$

d) $\frac{3}{-4}\left(-\frac{5}{8}\right)$

Evaluate the powers.

a) $\left(-\frac{2}{3}\right)^2$

b) $-\left(\frac{2}{3}\right)^2$

c) $-\left(-\frac{2}{3}\right)^2$

d) $-\left(-\frac{2}{3}\right)^3$

e) $-\left(\frac{2}{3}\right)^3$

f) $\left(\frac{-2}{-3}\right)^5$

Use number lines to evaluate the following expressions.

a) $7 \frac{3}{8}+4 \frac{1}{8}$

b) $7 \frac{3}{8}-4 \frac{1}{8}$

c) $6 \frac{2}{3}+5 \frac{2}{3}$

d) $3 \frac{2}{5}-1 \frac{4}{5}$"

Determine each difference.

a) $\frac{1}{2}-\frac{1}{3}$

b) $\frac{3}{4}-\frac{1}{8}$

c) $\frac{3}{5}-\frac{3}{10}$

d) $\frac{6}{7}-\frac{1}{2}$"