2.6: Homework

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Jul 18, 2022
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- 2.5: Supplementary Topics
- 3: Addition and Subtraction

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Submit homework separately from this workbook and staple all pages together. (One staple for the entire submission of all the unit homework)
Start a new module on the front side of a new page and write the module number on the top center of the page.
Answers without supporting work will receive no credit.
Some solutions are given in the solutions manual.
You may work with classmates but do your own work.

HW #1

For each two sets noted, indicate whether or not the sets match. If they do, show a matching. If they do not, explain why not.

a. Small Blue A-blocks and Large Red A-Blocks

b. Yellow A-blocks and Circular A-blocks

HW #2

Describe a matching between the set of counting numbers, {1, 2, 3, ...} and the set of positive multiples of five, {5, 10, 15, ...}.

HW #3

Show every possible one-to-one correspondence between the Small Blue A-blocks and the Small Red A-blocks. Use abbreviations or pictures to denote the blocks.

HW #4

Convert each numeral to a Hindu-Arabic Base Ten numeral.

b. Tally:

$\cancel{||||}\cancel{||||}\cancel{||||} |||$

c. Roman: MCMLXII

d. Roman: DCCXLIV

e. Roman:

$\bar{\bar{\text{IV}}\text{CCX}}$ DLI

f. Egyptian:

Screen Shot 2021-04-20 at 12.24.30 AM.png

g. Chinese

Screen Shot 2021-04-20 at 12.25.38 AM.png

h. Mayan

Screen Shot 2021-04-20 at 12.26.38 AM.png

$4032_{\text{seven}}$

$T6W_{\text{thirteen}}$

$1 \ 111 \ 001 \ 011_{\text{two}}$

$507_{\text{nine}}$

HW #5

Convert 342 to a numeral in the numeration system or base specified.

a. Roman	b. Base Seven	c. Egyptian
d. Base Two	e. Chinese

HW #6

Convert 838 to:

a. Base Twelve	b. Base Eight
c. Base Five	d. Mayan

HW #7

Convert 13,595 to Base Twelve

HW #8

Convert 120,258 to Mayan

HW #9

Count from 620 to 630 in Base Five

HW #10

State the numeral that comes just before:

$173 \ 425 \ 760_{\text{eleven}}$

$2 \ 010 \ 212 \ 000_{\text{four}}$

HW #11

State the numeral that comes right after:

$539100TE_{\text{twelve}}$

$3 \ 102 \ 313 \ 444_{\text{five}}$

HW #12

Answer true or false. If false, explain why

$2_{\text{four}} = 2$

$3_{\text{four}} = 3_{\text{twelve}}$

$10_{\text{twelve}} = 10_{\text{five}}$

HW #13

Using Base Three blocks, you had 7 flats, 10 longs and 5 units. What number does this represent in

a. Base Three?

b. Base Ten?

HW #14

Write each number shown in expanded notation as a numeral in the base specified.

$3 \times 7^{8} + 6 \times 7^{5} + 4 \times 7^{4}$ to Base Seven

$1 \times 3^{10} + 2 \times 3^{9} + 2 \times 3^{3}$ to Base Three

HW #15

Write each number in expanded notation:

$200 \ 050 \ 030 \ 000_{\text{nine}}$

$1 \ 000 \ 100 \ 001 \ 000_{\text{two}}$

HW #16

Write each numeral in expanded form. Then, convert each numeral to a Base Ten mixed numeral with the fraction simplified.

a. $43.3_{\text{nine}}$	b. $35.12_{\text{six}}$
c. $121.21_{\text{three}}$	d. $333.333_{\text{five}}$

HW #17

Rewrite from expanded form to a numeral in the appropriate base.

$3 \times 4^{2} + 2 \times 4^{0} + 3 \times 4^{-1} + 1 \times 4^{-3}$

$5 \times 11^{3} + 10 \times 11^{1} + 8 \times 11^{-1} + 1 \times 11^{-2}$

$1 \times 2^{2} + 1 x\times 2^{0} + 1 \times 2^{-1} + 1 \times 2^{-4}$

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