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mathematics
contemporary mathematics
Contemporary Mathematics 1st Edition OpenStax - Solutions
\(4 \mathrm{D}_{16}+89_{16}\)Use the addition table that you created from Exercise 3 to perform the indicated base 16 operations.Data from Exercises 3base 16 Create the addition table for the given base.
\(927_{16}+438_{16}\)Use the addition table that you created from Exercise 3 to perform the indicated base 16 operations.Data from Exercises 3base 16 Create the addition table for the given base.
\(\mathrm{BFA}_{16}-78 \mathrm{E}_{16}\)Use the addition table that you created from Exercise 3 to perform the indicated base 16 operations.
\(43_{5}+32_{5}=75_{5}\)Tell how you know an error was committed without performing the operation in the given base.
\(15_{14}+19_{14}=34_{14}\)Tell how you know an error was committed without performing the operation in the given base.
Convert the Babylonian numeral into a Hindu-Arabic numeral. 499
Convert the Babylonian numeral into a Hindu-Arabic numeral.
Convert the Babylonian numeral into a Hindu-Arabic numeral.
Convert the Babylonian numeral into a Hindu-Arabic numeral.
Convert the Babylonian numeral into a Hindu-Arabic numeral.
Convert the Babylonian numeral into a Hindu-Arabic numeral.
Convert the Babylonian numeral into a Hindu-Arabic numeral.
Convert the Babylonian numeral into a Hindu-Arabic numeral.
Express the Mayan numeral as a Hindu-Arabic numeral. Use the common system, which is based on powers of 20 only.
Express the Mayan numeral as a Hindu-Arabic numeral. Use the common system, which is based on powers of 20 only.
Express the Mayan numeral as a Hindu-Arabic numeral. Use the common system, which is based on powers of 20 only.
Express the Mayan numeral as a Hindu-Arabic numeral. Use the common system, which is based on powers of 20 only.
Express the Mayan numeral as a Hindu-Arabic numeral. Use the common system, which is based on powers of 20 only.
Express the Mayan numeral as a Hindu-Arabic numeral. Use the common system, which is based on powers of 20 only. D
Express the Mayan numeral as a Hindu-Arabic numeral. Use the common system, which is based on powers of 20 only.
Express the Mayan numeral as a Hindu-Arabic numeral. Use the common system, which is based on powers of 20 only.
VII Express the Roman numeral as a Hindu-Arabic numeral.
XI Express the Roman numeral as a Hindu-Arabic numeral.
IX Express the Roman numeral as a Hindu-Arabic numeral.
XXIV Express the Roman numeral as a Hindu-Arabic numeral.
\(M C X L I I\)Express the Roman numeral as a Hindu-Arabic numeral.
CXXII Express the Roman numeral as a Hindu-Arabic numeral.
DCCXLIV Express the Roman numeral as a Hindu-Arabic numeral.
MCMLIX Express the Roman numeral as a Hindu-Arabic numeral.
8 Express the Hindu-Arabic numeral as a Roman numeral.
14 Express the Hindu-Arabic numeral as a Roman numeral.
27 Express the Hindu-Arabic numeral as a Roman numeral.
94 Express the Hindu-Arabic numeral as a Roman numeral.
274 Express the Hindu-Arabic numeral as a Roman numeral.
487 Express the Hindu-Arabic numeral as a Roman numeral.
936 Express the Hindu-Arabic numeral as a Roman numeral.
2,481 Express the Hindu-Arabic numeral as a Roman numeral.
What uses a place value system for numbers: Roman, Babylonian, Egyptian, Greek?
What uses an additive system: Roman, Mayan, Egyptian, Greek?
What uses a 0: Roman, Mayan, Egyptian, Greek?
Evaluate the following exponential expressions.1. \(4 \times 5^{2}+2 \times 6^{3}\)2. \(6 \times 8^{2}+3 \times 8^{1}+4 \times 8^{0}\)3. \(3 \times 10^{2}+0 \times 10^{1}+6 \times 10^{0}\)
Write the following in expanded form.1. 563 2. 4,821 3. 903,786
Convert the following into Hindu-Arabic numerals.1. \(3 \times 10^{2}+4 \times 10^{1}+8 \times 10^{0}\)2. \(5 \times 10^{3}+0 \times 10^{2}+9 \times 10^{1}+9 \times 10^{0}\)3. \(6 \times 10^{6}+2 \times 10^{5}+0 \times 10^{4}+9 \times 10^{3}+1 \times 10^{2}+1 \times 10^{1}+7 \times 10^{0}\)
Convert the Babylonian numberinto a Hindu-Arabic number.
Convert the Babylonian numberinto a Hindu-Arabic number.
Convert the Babylonian numberinto a Hindu-Arabic number.
Convert the Mayan numberinto a Hindu-Arabic number.
Convert the Mayan numberinto a Hindu-Arabic number.
Convert the Mayan numberinto a Hindu-Arabic number.
Convert the following Roman numerals into Hindu-Arabic numerals.1. XXVII 2. XXXIV 3. MMCMXLVIII
Convert the following Hindu-Arabic numerals into Roman numerals.1. 38 2. 94 3. 846 4. 2,987
What are the digits used for base 7 ?
What are the digits used for base 14 ?
Convert 3,6017 into base 10.
Convert \(4 B 7_{14}\) into base 10.
Convert \(\mathrm{A} 16_{12}\) into base 10.
Convert \(1011_{2}\) into base 10.
Write the numbers in base 7 up to 1007 .
Write the numbers in base 14 up to \(1_{14}\).
Write the numbers in base 2 up to 1002 .
Convert 298 to base 6.
Convert 45,134 to base 13.
Convert 100 to base 2.
Convert the following into Mayan numbers.1. 51 2. 653
A base 10 number is converted to base 7 and the result was 20817. Was an error committed? How do you know?
When changing from base 10 to base 8 , the division process resulted in the following remainders: \(1,0,9,2,4\). Was an error committed? How do you know?
A five-digit base 10 number is converted to a base 5 number. The base 5 number has four digits. Was an error committed? How do you know?
Calculate \(251_{6}+133_{6}\).
1. Create the addition table for base 7.2. Create the addition table for base 2.
Calculate \(536{ }_{7}+433_{7}\).
Create the addition table for base 12.
Calculate \(3 A 7_{12}+9 B A_{12}\).
We again return to base 2 , the base used by computers. Calculate \(1001_{2}+11011_{2}\).
Calculate \(52_{6}-34_{6}\).
Calculate \(A 17_{12}-4 B 3_{12}\).
Explain the error in the following calculation:\[ 15_{6}+34_{6}=49_{6} \]
Explain the error in the following calculation, and correct the error:\[ 89_{12}+76_{12}=165_{12} \]
Create the multiplication table for base 7.
Create the multiplication table for base 12.
1. Calculate \(45_{6} \times 24_{6}\).2. Calculate \(101_{2} \times 110_{2}\).
Calculate \(3 \mathrm{~A}_{12} \times 74_{12}\).
1. Calculate \(14_{6} \div 5_{6}\).2. Calculate \(5 \mathrm{~A}_{12} \div 7_{12}\)
Explain the error in the following calculation, and determine the correct answer:\[ 4_{6} \times 2_{6}=8_{6} \]
Explain the error in the following calculation. Determine the correct answer:\[ 18_{12} \times 7_{12}=126_{12} \]
What does it mean for a system to be a place value system?
In the system we use today, what number are the place values based on?
How are numerals and numbers different?
What relates numerals to numbers?
\(3 \times 4^{2}+5 \times 2^{3}\)Evaluate the exponential expression.
\(5 \times 6^{3}+7 \times 3^{2}\)Evaluate the exponential expression.
\(7 \times 5^{2}+2 \times 4^{5}\)Evaluate the exponential expression.
\(10 \times 11^{2}+7 \times 3^{4}\)Evaluate the exponential expression.
\(5 \times 6^{2}+3 \times 6^{1}+4 \times 6^{0}\)Evaluate the exponential expression.
\(4 \times 12^{2}+11 \times 12^{1}+2 \times 12^{0}\)Evaluate the exponential expression.
\(14 \times 8^{3}+19 \times 5^{4}+2 \times 3^{1}\)Evaluate the exponential expression.
\(8 \times 10^{4}+3 \times 5^{3}+9 \times 4^{2}\)Evaluate the exponential expression.
\(1 \times 2^{3}+0 \times 2^{2}+1 \times 2^{1}+1 \times 2^{0}\)Evaluate the exponential expression.
\(5 \times 8^{4}+1 \times 8^{3}+0 \times 8^{2}+7 \times 8^{1}+3 \times 8^{0}\)Evaluate the exponential expression.
13 Express the Hindu-Arabic number in expanded form.
82 Express the Hindu-Arabic number in expanded form.
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