Question 1

The base-ten decimal 18.5 could be written in base six as:

Accepted Answer

A)  10.5six. 
B)  20.3six. 
C)  30.3six. 
D)  128.5six. 
A)  10.5six. 
B)  20.3six. 
C)  30.3six. 
D)  128.5six.

Question 2

Write the base b numeral for 2b4 + b2 + 3b + 1.

Accepted Answer

Question 3

Two-thirds in base ten is what in base twelve?

Accepted Answer

A)  0.8 
B)  0.4 
C)  0.2 
D)  0.12 
E)  0.3 
A)  0.8 
B)  0.4 
C)  0.2 
D)  0.12 
E)  0.3

Question 4

These are the digits that are needed for a base seven place-value system: 0, 1, 2, 3, 4, 5, 6, 7.

Accepted Answer

A) True 
 B)False

Question 5

How many $100 bills could one get for a billion dollars?

Accepted Answer

A)  100,000,000 
B)  10,000,000 
C)  1,000,000 
D)  100,000 
E)  10,000 
A)  100,000,000 
B)  10,000,000 
C)  1,000,000 
D)  100,000 
E)  10,000

Question 6

(Roman numerals) IX = _____ten and XI = _____ ten.

Accepted Answer

Question 7

Tyler thinks that 0.36 is bigger than 0.4 because 36 is bigger than 4. Comment on Tyler's reasoning.

Accepted Answer

The answer of Tyler thinks that 0.36 is bigger than...

Question 8

How many ones are in 4352.678? How many whole ones?

Accepted Answer

The answer of How many ones are in 4352.678? How...

Question 9

53six is the same number as which of these base-ten numerals?

Accepted Answer

A)  18 
B)  183 
C)  12 
D)  85 
E)  33 
A)  18 
B)  183 
C)  12 
D)  85 
E)  33

Question 10

Which is LARGER? 2four or 2five? Explain.

Accepted Answer

Question 11

If a base-eight flat represents 1, the numeral _____ would give the numerical value of the small cube. (You may give your answer either in base eight or in base ten-just make clear which.)

Accepted Answer

The answer of If a base-eight flat represents 1, the...

Question 12

$\begin{array} { l } 
127 \text { nine } \
- \underline{58 \text { nine }}
\end{array}$

Accepted Answer

The answer of \(\begin{array} { l } 
127 \text {...

Question 13

524eight = _____ten.

Accepted Answer

Question 14

Seven-eighths in base ten is what in base two?

Accepted Answer

The answer of Seven-eighths in base ten is what in...

Question 15

The base two numeral 100two equals the base ten numeral:

Accepted Answer

A)  1100100. 
B)  1011100. 
C)  8. 
D)  4. 
A)  1100100. 
B)  1011100. 
C)  8. 
D)  4.

Question 16

How many tens are in 7654? How many whole tens are in 7654?

Accepted Answer

The answer of How many tens are in 7654? How...

Question 17

Write 49ten in base seven.

Accepted Answer

Question 18

Three-fourths in base ten is what in base two?

Accepted Answer

The answer of Three-fourths in base ten is what in...

Question 19

The blocks are base four.
A) What base-four numeral is illustrated with the long as the unit?
B) Give the English words for the base-ten value.
C) Suppose the small block is the unit. Give the English words for the base-ten value.

Accepted Answer

The answer of The blocks are base four.
A) What base-four...

Question 20

Write the "basimal" (expanded) place values and then the usual base-ten fraction or mixed number for 20.11three.

Accepted Answer

20.11_three = (3 × 2) + (0

Exam 2: Numeration Systems

The base-ten decimal 18.5 could be written in base six as:

Write the base b numeral for 2b4 + b2 + 3b + 1.

Two-thirds in base ten is what in base twelve?

These are the digits that are needed for a base seven place-value system: 0, 1, 2, 3, 4, 5, 6, 7.

How many $100 bills could one get for a billion dollars?

(Roman numerals) IX = _____ten and XI = _____ ten.

Tyler thinks that 0.36 is bigger than 0.4 because 36 is bigger than 4. Comment on Tyler's reasoning.

How many ones are in 4352.678? How many whole ones?

53six is the same number as which of these base-ten numerals?

Which is LARGER? 2four or 2five? Explain.

If a base-eight flat represents 1, the numeral _____ would give the numerical value of the small cube. (You may give your answer either in base eight or in base ten-just make clear which.)

127 nine -

524eight = _____ten.

Seven-eighths in base ten is what in base two?

The base two numeral 100two equals the base ten numeral:

How many tens are in 7654? How many whole tens are in 7654?

Write 49ten in base seven.

Three-fourths in base ten is what in base two?

The blocks are base four. A) What base-four numeral is illustrated with the long as the unit? B) Give the English words for the base-ten value. C) Suppose the small block is the unit. Give the English words for the base-ten value.

Write the "basimal" (expanded) place values and then the usual base-ten fraction or mixed number for 20.11three.

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

Write the base b numeral for 2b⁴ + b² + 3b + 1.

(Roman numerals) IX = __ten and XI = _ _ten.

53_six is the same number as which of these base-ten numerals?

Which is LARGER? 2_four or 2_five? Explain.

524_eight = ______ten.

The base two numeral 100_two equals the base ten numeral:

Write 49_ten in base seven.

Write the "basimal" (expanded) place values and then the usual base-ten fraction or mixed number for 20.11_three.