Question 1

The best coins to use in thinking about the first three whole-number place values in base five would be the penny, the nickel, and the quarter.

Accepted Answer

A) True 
 B)False

Question 2

In base ten, 111five would be written:

Accepted Answer

A)  421. 
B)  155. 
C)  31. 
D)  21. 
E)  555. 
A)  421. 
B)  155. 
C)  31. 
D)  21. 
E)  555.

Question 3

29ten = _____ in base three.

Accepted Answer

Question 4

Sketch the base blocks that show 1203seven, and give the English words for the base-ten value of each different-sized piece.

Accepted Answer

Question 5

Write the base-ten numeral for the following base-eight pieces.
Base-eight pieces, with the small cube (a dot here) as the unit:

Accepted Answer

The answer of Write the base-ten numeral for the following...

Question 6

221.2three = _____ten.

Accepted Answer

Question 7

34,597 has 345 whole thousands in it.

Accepted Answer

A) True 
 B)False

Question 8

Judy says, "Well, hundredths are smaller than tenths. So 0.36 is smaller than 0.4." Comment on Judy's reasoning.

Accepted Answer

The answer of Judy says, "Well, hundredths are smaller than...

Question 9

In base ten, 32four would be written:

Accepted Answer

A)  400. 
B)  200. 
C)  122. 
D)  14. 
E)  8. 
A)  400. 
B)  200. 
C)  122. 
D)  14. 
E)  8.

Question 10

Consider x = 0.3147eight and y = 0.3147nine. Which of x and y is GREATER? Explain. (Be careful.)

Accepted Answer

Question 11

Use drawings of multibase blocks to illustrate 231ten + 87ten.

Accepted Answer

@#IMG-DLM& 
Using small squares (dots here) as the

Question 12

1012five = _____ in base ten.

Accepted Answer

Question 13

56 has 560 tenths in it.

Accepted Answer

A) True 
 B)False

Question 14

4. 4 five
+$ \underline{3.3  \text {five}}$

Accepted Answer

The answer of 4. 4 five
+$ \underline{3.3  \text {five}}$...

Question 15

In what base does the following counting work:
1, 2, 3, 4, 10, 11, 12, 13, 14, 20, 21, …

Accepted Answer

A)  base two 
B)  base four 
C)  base five 
D)  base six 
A)  base two 
B)  base four 
C)  base five 
D)  base six

Question 16

How many $10 bills could one get for $10 million?

Accepted Answer

A)  10,000,000 
B)  1,000,000 
C)  100,000 
D)  10,000 
E)  1000 
A)  10,000,000 
B)  1,000,000 
C)  100,000 
D)  10,000 
E)  1000

Exam 2: Numeration Systems

The best coins to use in thinking about the first three whole-number place values in base five would be the penny, the nickel, and the quarter.

In base ten, 111five would be written:

29ten = _____ in base three.

Sketch the base blocks that show 1203seven, and give the English words for the base-ten value of each different-sized piece.

Write the base-ten numeral for the following base-eight pieces. Base-eight pieces, with the small cube (a dot here) as the unit:

221.2three = _____ten.

34,597 has 345 whole thousands in it.

Judy says, "Well, hundredths are smaller than tenths. So 0.36 is smaller than 0.4." Comment on Judy's reasoning.

In base ten, 32four would be written:

Consider x = 0.3147eight and y = 0.3147nine. Which of x and y is GREATER? Explain. (Be careful.)

Use drawings of multibase blocks to illustrate 231ten + 87ten.

1012five = _____ in base ten.

56 has 560 tenths in it.

4. 4 five + 3.3five‾ \underline{3.3 \text {five}}3.3five​

In what base does the following counting work: 1, 2, 3, 4, 10, 11, 12, 13, 14, 20, 21, …

How many $10 bills could one get for $10 million?

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

In base ten, 111_five would be written:

29_ten = _____ in base three.

Sketch the base blocks that show 1203_seven, and give the English words for the base-ten value of each different-sized piece.

221.2_three = ______ten.

In base ten, 32_four would be written:

Consider x = 0.3147_eight and y = 0.3147_nine. Which of x and y is GREATER? Explain. (Be careful.)

Use drawings of multibase blocks to illustrate 231_ten + 87_ten.

1012_five = _____ in base ten.

4. 4 five + $\underline{3.3 \text {five}}$