Number Theory & Representation Flashcards

1
Q

Write the Mayan numeral as a base 10 (Hindu-Arabic) numeral.

A

6492

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2
Q

Subtract in the indicated base (base eight).

It is understood that your answer will be in base eight

462-base eight

  • 177-base eight
A

263

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3
Q

Write the following Babylonian numeral as a base 10 (Hindu-Arabic) numeral.

«V <VV <V

A

76331

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4
Q

Add in the indicated base (base nine).

It is understood that your answer will be in base nine.

6784-base nine

+ 7865-base nine

A

15760

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5
Q

What is the quotient of 132_four/3_four?

If your answer is (for example) 38 remainder 2, record it in the format: 38R2

It is understood that your answer will be in base four.

A

22

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6
Q

Multiply in the indicated base (base eight).

It is understood that your answer will be in base eight.

623-base eight

 x 4-base eight
A

3114

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7
Q

Subtract in the indicated base (base two).

It is understood that your answer will be in base two.

1001-base two

  • 111-base two

________________

A

10

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8
Q

Multiply in the indicated base (base seven).

It is understood that your answer will be in base seven

543-base seven

x 5-base seven \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_
A

4011

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9
Q

Write the following Babylonian numeral as a base 10 (Hindu-Arabic) numeral.

&laquo_space; &laquo_space;VV VVV

A

73323

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10
Q

Add in the indicated base (base five).

It is understood that your answer will be in base five.

342-base five

+ 413-base five
_______________

A

1310

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11
Q

Write the Mayan numeral as a base 10 (Hindu-Arabic) numeral.

A

129732

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12
Q

What is the quotient of 224_five/3_five?

If your answer is (for example) 38 remainder 2, record it in the format: 38R2

It is understood that your answer will be in base five.

A

41R1

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13
Q

Convert the following Babylonian numeral to a Hindu-Arabic numeral and record the answer with no commas or spaces.

V < VVV

A

4203

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14
Q

Express x=0.972972972… as quotient of integers. Choose the answer that is most correct.

A

36/37

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15
Q

Convert the Mayan numeral to base 10

A

4331

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16
Q

Add the following base seven numerals.

It is understood that your answer will be in base seven.

645-base seven

+ 326-base seven

_______________

A

1264

17
Q

Convert the following Babylonian numeral to a Hindu-Arabic numeral.

«V VV <V

A

75731

18
Q

Subtract the following base nine numerals
It is understood that your answer will be in base nine.

 721-base nine
  • 483-base nine

________________

A

227

19
Q

Divide the following base five numerals:
Record your answer in the EXACT following format:
e.g., 41_R_3

234_five/4_five.

A

32_R_1

20
Q

Add the following base five numerals.

It is understood that your answer will be in base five.

442-base five

+ 423-base five
_______________

A

1420

21
Q

Express 0.575757… as a quotient of integers. Choose the answer that is most correct.

A

19/33

22
Q

Multiply the following base six numerals.

It is understood that your answer will be in base six.

 524-base six

x   4-base six \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_
A

3344

23
Q

Multiply the following base eight numerals.

It is understood that your answer will be in base eight.

 623-base eight

x   5-base eight \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_
A

3737