Question 1

Change the number  to base ten.

Accepted Answer

The answer of Change the number  to base ten....

Question 2

Change 458 to base eight. ​
A) 712 eight
B) 916 eight
C) 772 eig​ht
D) 710 eight
E) 711 eight

Accepted Answer

To convert 458 from base 10 to base 8, divide 458 by 8 repeatedly and keep track of the remainders. 458 divided by 8 gives 57 with a remainder of 2. 57 divided by 8 gives 7 with a remainder of 1. 7 divided by 8 gives 0 with a remainder of 7. Reading the remainders from bottom to top gives 712 in base 8.

Question 3

Change the number  to base ten. ​
A) 1,817
B) 1,792
C) 1,807
D) 1,812
E) 473

Accepted Answer

The answer of Change the number  to base ten....

Question 4

Change 1,373 to base twelve. __________ _twelve

Accepted Answer

The answer of Change 1,373 to base twelve. __________ _twelve...

Question 5

Write the number in expanded notation. ​  ​
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Write the number in expanded notation. ​...

Question 6

Change 63 months to years and months. ​
A) 5 years, 3 months
B) 4 years, 15 months
C) 5 years, 4 months
D) 4 years, 3 months
E) 7 years, 2 months

Accepted Answer

To convert 63 months to years and months, divide 63 by 12 (since there are 12 months in a year). This gives 5 years with a remainder of 3 months, hence 5 years and 3 months.

Question 7

Change 75 days to weeks and days. ​
A) 10 weeks, 5 days
B) 12 weeks, 4 days
C) 9 weeks, 3 days
D) 9 weeks, 12 days
E) 10 weeks, 6 days

Accepted Answer

75 days is equivalent to 10 weeks and 5 days because 75 divided by 7 (the number of days in a week) equals 10 with a remainder of 5.

Question 8

Change the number to base ten.
​

Accepted Answer

The answer of Change the number to base ten.
​ ...

Question 9

Change 123 to base eight. __________ _eight

Accepted Answer

The answer of Change 123 to base eight. __________ _eight...

Question 10

Change the number  to base ten.

Accepted Answer

The answer of Change the number  to base ten....

Question 11

Change 190 to base four. __________ _four

Accepted Answer

The answer of Change 190 to base four. __________ _four...

Question 12

Write the number in expanded notation. ​  ​
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Write the number in expanded notation. ​...

Question 13

Write the capital letters for the ASCII code.
​
72 65 82 68

Accepted Answer

The answer of Write the capital letters for the ASCII...

Question 14

Change 1,395 to base twelve. ​
A) 983 twelve
B) 910 twelve
C) 988 twelve
D) 993 twelve
E) 1,395 twelve

Accepted Answer

To convert 1,395 to base twelve, divide by 12 repeatedly and record the remainders. 1,395 ÷ 12 = 116 remainder 3, 116 ÷ 12 = 9 remainder 8, 9 ÷ 12 = 0 remainder 9. Reading the remainders from top to bottom gives 983 in base twelve.

Question 15

Change 109 to base four. ​
A) 1131 four
B) 1101 four
C) 1220 four
D) 1231 four
E) 2113 four

Accepted Answer

To convert 109 to base four, we need to keep dividing by four until the quotient is zero. The remainders, read from bottom to top, will be the equivalent in base four.

109 ÷ 4 = 27 remainder 1
27 ÷ 4 = 6 remainder 3
6 ÷ 4 = 1 remainder 2
1 ÷ 4 = 0 remainder 1

So, the base four equivalent of 109 is 1231.

Question 16

Change the number  to base ten. ​
A) 519
B) 239
C) 2,856
D) 231
E) 400

Accepted Answer

The answer of Change the number  to base ten....

Question 17

Change the number to base ten. ​  ​
A) 3,030
B) 174
C) 606
D) 170
E) 870

Accepted Answer

The answer of Change the number to base ten. ​...

Question 18

Change the number  to base ten.

Accepted Answer

The answer of Change the number  to base ten....

Question 19

Write the number  in expanded notation.
​  __________  __________  __________

Accepted Answer

The answer of Write the number  in expanded notation.
​...

Question 20

Change the number  to base ten. ​
A) 15.75
B) 18.47
C) 14.52
D) 16.86
E) 31.5

Accepted Answer

The answer of Change the number  to base ten....

Quiz 4: The Nature of Numeration Systems

Change the number to base ten.

Change 458 to base eight.

Change the number to base ten.

Change 1,373 to base twelve. __________ _twelve

Write the number in expanded notation.

Change 63 months to years and months.

Change 75 days to weeks and days.

Change the number to base ten.

Change 123 to base eight. __________ _eight

Change the number to base ten.

Change 190 to base four. __________ _four

Write the number in expanded notation.

Write the capital letters for the ASCII code. 72 65 82 68

Change 1,395 to base twelve.

Change 109 to base four.

Change the number to base ten.

Change the number to base ten.

Change the number to base ten.

Write the number in expanded notation. __

Change the number to base ten.

Quiz 4: The Nature of Numeration Systems

Change the number to base ten.

Change 458 to base eight. ​

Change the number to base ten. ​

Change 1,373 to base twelve. ​ __________ twelve

Write the number in expanded notation. ​ ​

Change 63 months to years and months. ​

Change 75 days to weeks and days. ​

Change the number to base ten. ​

Change 123 to base eight. ​ __________ eight

Change the number to base ten.

Change 190 to base four. ​ __________ four

Write the number in expanded notation. ​ ​

Write the capital letters for the ASCII code. ​ 72 65 82 68

Change 1,395 to base twelve. ​

Change 109 to base four. ​

Change the number to base ten. ​

Change the number to base ten. ​ ​

Change the number to base ten.

Write the number in expanded notation. ​ __________ __________ __________

Change the number to base ten. ​

Change 458 to base eight.

Change the number to base ten.

Change 1,373 to base twelve. __________ _twelve

Write the number in expanded notation.

Change 63 months to years and months.

Change 75 days to weeks and days.

Change the number to base ten.

Change 123 to base eight. __________ _eight

Change 190 to base four. __________ _four

Write the number in expanded notation.

Write the capital letters for the ASCII code. 72 65 82 68

Change 1,395 to base twelve.

Change 109 to base four.

Change the number to base ten.

Change the number to base ten.

Write the number in expanded notation. __

Change the number to base ten.