Question 1

Perform the indicated operation.
-

Accepted Answer

The answer of Perform the indicated operation.
-

...

Question 2

Perform the indicated operation.
-$110 _ { \text {two } } - 11 _ { \text {two } }$

Accepted Answer

The answer of Perform the indicated operation.
-\(110 _ { \text...

Question 3

Provide an appropriate response.
-Determine what is wrong with the following: $$\begin{array} { r } 
248 \
+ \quad 34 \
\hline 272
\end{array}$$

Accepted Answer

The answer of Provide an appropriate response.
-Determine what is wrong...

Question 4

Perform the indicated operation.
-

Accepted Answer

The answer of Perform the indicated operation.
-
...

Question 5

Find the missing numbers.
-

Accepted Answer

The answer of Find the missing numbers.
-

...

Question 6

Provide an appropriate response.
-Determine what is wrong with the following: $$\begin{array} { r } 
139 \
+ \quad 24 \
\hline 153
\end{array}$$

Accepted Answer

The answer of Provide an appropriate response.
-Determine what is wrong...

Question 7

Find the missing numbers.
-

Accepted Answer

The answer of Find the missing numbers.
-

...

Question 8

Find the missing numbers.
-

Accepted Answer

The answer of Find the missing numbers.
-

...

Question 9

Perform the indicated operation.
-$$\begin{array} { c c c } 
6 \text { gross } & 4 \mathrm { dz } & 5 \text { ones } \
+ & 10 \mathrm { dz } & 11 \text { ones } \
\hline
\end{array}$$

Accepted Answer

A gross is 144, a dozen is 12. Convert and add: 6 gross + 4 dz + 5 ones = 864 + 48 + 5 = 917; 10 dz + 11 ones = 120 + 11 = 131; 917 + 131 = 1048 = 7 gross + 3 dz + 4 ones.

Question 10

Solve the problem.
-Jamie is planning to start her own business. She has saved $1100 for this purpose. She estimates a cost of $880 for materials and $480 for advertising. By how much money is she falling short?

Accepted Answer

Jamie needs $880 for materials and $480 for advertising, totaling $1360. She has $1100, so she is short by $1360 - $1100 = $260.

Question 11

Solve the problem.
-Jake is doing some chores for his father. He takes 50 minutes to clean the garage, 40 minutes to mow the lawn, and 55 minutes to trim the hedges. How much time, expressed in hours and Minutes, did he spend working?

Accepted Answer

Jake spent a total of 50 + 40 + 55 = 145 minutes working. Converting 145 minutes to hours and minutes gives 2 hours and 25 minutes.

Question 12

Solve the problem.
-Jane has invited 80 people for a pizza party. If each pizza has 8 slices and she estimates that she needs 2 slices per person, then how many pizzas does she need to order?

Accepted Answer

Jane needs 160 slices in total (80 people * 2 slices each). Since each pizza has 8 slices, she needs to order 160 / 8 = 20 pizzas.

Question 13

Solve the problem.
-During his first year of college, John incurs the following expenses: $3000 on tuition, $1000 on books, $3600 on food, and $8000 on rent. If John earned $9000 during the year by working Part-time, and the rest of the expenses were paid by his parents, how much did his parents pay?

Accepted Answer

John's total expenses are $3000 + $1000 + $3600 + $8000 = $15,600. He earned $9000, so his parents paid the remaining $15,600 - $9000 = $6600.

Question 14

Provide an appropriate response.
-Explain the concept of regrouping using the example shown below.

Accepted Answer

The answer of Provide an appropriate response.
-Explain the concept of...

Question 15

Perform the indicated operation.
-$34 _{eight}+ 61 _{eight}$

Accepted Answer

The answer of Perform the indicated operation.
-$34 _{eight}+ 61 _{eight}$
...

Question 16

Perform the indicated operation.
-$32_ { \text {eight } }- 13 _ { \text {eight } }$

Accepted Answer

To perform the subtraction $32_8 - 13_8$ in base 8 (octal), we subtract like in base 10, but carry/borrow with respect to base 8. Subtracting the digits, we get $2 - 3$ which is not possible without borrowing. So, we borrow 1 (which is 8 in base 10) from the 3 (in the tens place), making it 2 and the 2 becomes 12 (in base 8). Now, $12_8 - 3_8 = 7_8$, and $2_8 - 1_8 = 1_8$, giving us $17_8$.

Question 17

Perform the indicated operation.
-

Accepted Answer

The answer of Perform the indicated operation.
-

...

Question 18

Find the missing numbers.
-$\begin{array}{ccccc}
1 & 2 & (a) & (b) & 3 \
- & (c) & 0 & 1 & (d) \
\hline 5 & 1 & 9 & 8
\end{array}$

Accepted Answer

The pattern involves adding the numbers in the first row to those in the second row to get the numbers in the third row. For example, $1 + 5 = 6$, $2 + (c) = 1$, so $c = 7$. Similarly, solving for $a$, $b$, and $d$ gives the values in option B.

Question 19

Perform the indicated operation.
-$34_{ five}+ 23_{ five}$

Accepted Answer

The answer of Perform the indicated operation.
-$34_{ five}+ 23_{ five}$
...

Question 20

Find the missing numbers.
-

Accepted Answer

The answer of Find the missing numbers.
-

...

Quiz 3: Numeration Systems and Whole Number Operations

Perform the indicated operation. - $110 _ { \text {two } } - 11 _ { \text {two } }$

Provide an appropriate response. -Determine what is wrong with the following: $\begin{array} { r } 248 \\+ \quad 34 \\\hline 272\end{array}$

Find the missing numbers. -

Provide an appropriate response. -Determine what is wrong with the following: $\begin{array} { r } 139 \\+ \quad 24 \\\hline 153\end{array}$

Find the missing numbers. -

Find the missing numbers. -

Perform the indicated operation. - $\begin{array} { c c c } 6 \text { gross } & 4 \mathrm { dz } & 5 \text { ones } \\+ & 10 \mathrm { dz } & 11 \text { ones } \\\hline\end{array}$

Solve the problem. -Jamie is planning to start her own business. She has saved $1100 for this purpose. She estimates a cost of $880 for materials and $480 for advertising. By how much money is she falling short?

Solve the problem. -Jake is doing some chores for his father. He takes 50 minutes to clean the garage, 40 minutes to mow the lawn, and 55 minutes to trim the hedges. How much time, expressed in hours and Minutes, did he spend working?

Solve the problem. -Jane has invited 80 people for a pizza party. If each pizza has 8 slices and she estimates that she needs 2 slices per person, then how many pizzas does she need to order?

Provide an appropriate response. -Explain the concept of regrouping using the example shown below.

Perform the indicated operation. - $34 _{eight}+ 61 _{eight}$

Perform the indicated operation. - $32_ { \text {eight } }- 13 _ { \text {eight } }$

Perform the indicated operation. - $Perform the indicated operation. - A) 5 gross 2 \mathrm { dz } 3 ones B) 4 gross 9 \mathrm { dz } 9 ones C) 4 gross 10 \mathrm { dz } 9 ones D) 4 gross 7 \mathrm { dz } 7 ones$

Find the missing numbers. - $\begin{array}{ccccc}1 & 2 & (a) & (b) & 3 \\- & (c) & 0 & 1 & (d) \\\hline 5 & 1 & 9 & 8\end{array}$

Perform the indicated operation. - $34_{ five}+ 23_{ five}$

Quiz 3: Numeration Systems and Whole Number Operations

Perform the indicated operation. -

Perform the indicated operation. - 110two −11two 110 _ { \text {two } } - 11 _ { \text {two } }110two ​−11two ​

Provide an appropriate response. -Determine what is wrong with the following: 248+34272\begin{array} { r } 248 \\+ \quad 34 \\\hline 272\end{array}248+34272​​

Perform the indicated operation. -

Find the missing numbers. -

Provide an appropriate response. -Determine what is wrong with the following: 139+24153\begin{array} { r } 139 \\+ \quad 24 \\\hline 153\end{array}139+24153​​

Find the missing numbers. -

Find the missing numbers. -

Perform the indicated operation. - 6 gross 4dz5 ones +10dz11 ones \begin{array} { c c c } 6 \text { gross } & 4 \mathrm { dz } & 5 \text { ones } \\+ & 10 \mathrm { dz } & 11 \text { ones } \\\hline\end{array}6 gross +​4dz10dz​5 ones 11 ones ​​

Solve the problem. -Jamie is planning to start her own business. She has saved $1100 for this purpose. She estimates a cost of $880 for materials and $480 for advertising. By how much money is she falling short?

Solve the problem. -Jake is doing some chores for his father. He takes 50 minutes to clean the garage, 40 minutes to mow the lawn, and 55 minutes to trim the hedges. How much time, expressed in hours and Minutes, did he spend working?

Solve the problem. -Jane has invited 80 people for a pizza party. If each pizza has 8 slices and she estimates that she needs 2 slices per person, then how many pizzas does she need to order?

Provide an appropriate response. -Explain the concept of regrouping using the example shown below.

Perform the indicated operation. - 34eight+61eight34 _{eight}+ 61 _{eight}34eight​+61eight​

Perform the indicated operation. - 32eight −13eight 32_ { \text {eight } }- 13 _ { \text {eight } }32eight ​−13eight ​

Perform the indicated operation. -

Find the missing numbers. - 12(a) (b) 3−(c) 01(d) 5198\begin{array}{ccccc}1 & 2 & (a) & (b) & 3 \\- & (c) & 0 & 1 & (d) \\\hline 5 & 1 & 9 & 8\end{array}1−5​2(c) 1​(a) 09​(b) 18​3(d) ​​

Perform the indicated operation. - 34five+23five34_{ five}+ 23_{ five}34five​+23five​

Find the missing numbers. -

Perform the indicated operation. - $110 _ { \text {two } } - 11 _ { \text {two } }$

Provide an appropriate response. -Determine what is wrong with the following: $\begin{array} { r } 248 \\+ \quad 34 \\\hline 272\end{array}$

Provide an appropriate response. -Determine what is wrong with the following: $\begin{array} { r } 139 \\+ \quad 24 \\\hline 153\end{array}$

Perform the indicated operation. - $\begin{array} { c c c } 6 \text { gross } & 4 \mathrm { dz } & 5 \text { ones } \\+ & 10 \mathrm { dz } & 11 \text { ones } \\\hline\end{array}$

Perform the indicated operation. - $34 _{eight}+ 61 _{eight}$

Perform the indicated operation. - $32_ { \text {eight } }- 13 _ { \text {eight } }$

Perform the indicated operation. - $Perform the indicated operation. - A) 5 gross 2 \mathrm { dz } 3 ones B) 4 gross 9 \mathrm { dz } 9 ones C) 4 gross 10 \mathrm { dz } 9 ones D) 4 gross 7 \mathrm { dz } 7 ones$

Find the missing numbers. - $\begin{array}{ccccc}1 & 2 & (a) & (b) & 3 \\- & (c) & 0 & 1 & (d) \\\hline 5 & 1 & 9 & 8\end{array}$

Perform the indicated operation. - $34_{ five}+ 23_{ five}$