Question 1

Define your unit and sketch base blocks to represent 32.67eight.

Accepted Answer

Using the flat = 1, three larg

Question 2

​ $0.24 _ { \text {seven } }$
-$ \underline{0.15}$ $\text {seven}$

Accepted Answer

The answer of ​ \(0.24 _ { \text {seven }...

Question 3

287ten = _____four.

Accepted Answer

Question 4

Do the "translations" in parts A-D. Show your work. A) $3102 _ {\text { five }}$  $=$ $\underline{\quad\quad}$ten
B) $310.2 _ { \text {five } } =$ $\underline{\quad\quad}$ten
 
C) 203.6ten = _____five
D) (base-six pieces with small block as the unit)

Accepted Answer

A) 402
B)

Question 5

The best coins to use in thinking about the first three whole-number place values in base ten would be the penny, the dime, and the half-dollar.

Accepted Answer

A) True 
 B)False

Question 6

45 has 4500 hundredths in it.

Accepted Answer

A) True 
 B)False

Question 7

If you are counting in base five, what would be the next six numerals AFTER 2314five?

Accepted Answer

Question 8

Determine the possible value(s) for base b: $\begin{array} { r } 
321 b \
- \underline{234 b} \
43 b
\end{array}$

Accepted Answer

The answer of Determine the possible value(s) for base b:...

Question 9

A teacher challenged her class to find out how many ways the number 345.23 could be thought about. Macy said 345.23 could be thought of as 340 ones and 52.3 tenths. Is Macy correct or incorrect? Explain how you know.

Accepted Answer

The answer of A teacher challenged her class to find...

Question 10

Write out 32004m in the algebraic form of the last item.

Accepted Answer

Question 11

For whole numbers, any two-digit numeral in base five represents a smaller number than the same two-digit numeral in base twenty.

Accepted Answer

A) True 
 B)False

Question 12

A soap factory packs 100 bars of soap in each box for shipment. If the factory makes 15,287 bars of soap, how many full boxes will they have for shipment? Explain.

Accepted Answer

The answer of A soap factory packs 100 bars of...

Question 13

$6 \frac { 2 } { 3 }$ 
 in base ten = _____ in base three.

Accepted Answer

The answer of \(6 \frac { 2 } { 3...

Question 14

2.31four = _____ as a mixed number in base ten.

Accepted Answer

Question 15

$\begin{array} { r } 
241 _ { \text {six } } \
+ \underline{135 \text { six } }\
\end{array}$

Accepted Answer

The answer of \(\begin{array} { r } 
241 _ {...

Question 16

If 10000ten + 10b = 10023ten, what is base b?

Accepted Answer

Question 17

Consider: x = 74213sixteen and y = 74213fourteen. Which is GREATER, x or y (or are they equal)? Explain.

Accepted Answer

Question 18

What is the base-ten fraction representation for 1.21four?

Accepted Answer

A)  1 $\frac { 9 } { 16 }$ 
B)  1 $\frac { 3 } { 4 }$ 
C)  1 $\frac { 21 } { 100 }$ 
D)  1 $\frac { 3 } { 5 }$ 
A)  1 $\frac { 9 } { 16 }$ 
B)  1 $\frac { 3 } { 4 }$ 
C)  1 $\frac { 21 } { 100 }$ 
D)  1 $\frac { 3 } { 5 }$

Question 19

In base five, 32ten would be written:

Accepted Answer

A)  152five. 
B)  112five. 
C)  62five. 
D)  17five. 
A)  152five. 
B)  112five. 
C)  62five. 
D)  17five.

Question 20

You are living and working on a planet that uses only base five. How many $5 bills can you get for $1234.20five? Write your answer in base five because you are living on the planet. Write enough (numbers, words, etc.) to make your thinking clear.

Accepted Answer

Exam 2: Numeration Systems

Define your unit and sketch base blocks to represent 32.67eight.

​ 0.24seven 0.24 _ { \text {seven } }0.24seven ​ - 0.15‾ \underline{0.15}0.15​ seven\text {seven}seven

287ten = _____four.

The best coins to use in thinking about the first three whole-number place values in base ten would be the penny, the dime, and the half-dollar.

45 has 4500 hundredths in it.

If you are counting in base five, what would be the next six numerals AFTER 2314five?

Determine the possible value(s) for base b: 321b - 43b

A teacher challenged her class to find out how many ways the number 345.23 could be thought about. Macy said 345.23 could be thought of as 340 ones and 52.3 tenths. Is Macy correct or incorrect? Explain how you know.

Write out 32004m in the algebraic form of the last item.

For whole numbers, any two-digit numeral in base five represents a smaller number than the same two-digit numeral in base twenty.

A soap factory packs 100 bars of soap in each box for shipment. If the factory makes 15,287 bars of soap, how many full boxes will they have for shipment? Explain.

6236 \frac { 2 } { 3 }632​ in base ten = _____ in base three.

2.31four = _____ as a mixed number in base ten.

24 +

If 10000ten + 10b = 10023ten, what is base b?

Consider: x = 74213sixteen and y = 74213fourteen. Which is GREATER, x or y (or are they equal)? Explain.

What is the base-ten fraction representation for 1.21four?

In base five, 32ten would be written:

You are living and working on a planet that uses only base five. How many $5 bills can you get for $1234.20five? Write your answer in base five because you are living on the planet. Write enough (numbers, words, etc.) to make your thinking clear.

Reasoning About Quantities

Understanding Whole Number Operations

Some Conventional Ways of Computing

Using Numbers in Sensible Ways

Meanings for Fractions

Computing With Fractions

Multiplicative Comparisons and Multiplicative Reasoning

Ratios, Rates, Proportions, and Percents

Integers and Other Number Systems

Number Theory

What Is Algebra

A Quantitative Approach to Algebra and Graphing

Understanding Change: Relationships Among Time, Distance, and Rate

Further Topics in Algebra and Change

Polygons

Polyhedra

Symmetry

Tessellations

Similarity

Curves, Constructions, and Curved Surfaces

Transformation Geometry

Measurement Basics

Area, Surface Area, and Volume

Counting Units Fast: Measurement Formulas

Special Topics in Measurement

Quantifying Uncertainty

Determining More Complicated Probabilities

Introduction to Statistics and Sampling

Representing and Interpreting Data With One Variable

Dealing With Multiple Data Sets or With Multiple Variables

Variability in Samples

Special Topics in Probability

Filters

Define your unit and sketch base blocks to represent 32.67_eight.

$0.24 _ { \text {seven } }$ - $\underline{0.15}$ $\text {seven}$

287_ten = ______four.

If you are counting in base five, what would be the next six numerals AFTER 2314_five?

Write out 32004_m in the algebraic form of the last item.

$6 \frac { 2 } { 3 }$ in base ten = _____ in base three.

2.31_four = _____ as a mixed number in base ten.

If 10000_ten + 10_b = 10023_ten, what is base b?

Consider: x = 74213_sixteen and y = 74213_fourteen. Which is GREATER, x or y (or are they equal)? Explain.

What is the base-ten fraction representation for 1.21_four?

In base five, 32_ten would be written:

You are living and working on a planet that uses only base five. How many $5 bills can you get for $1234.20_five? Write your answer in base five because you are living on the planet. Write enough (numbers, words, etc.) to make your thinking clear.