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study help
mathematics
contemporary mathematics
Contemporary Mathematics 1st Edition OpenStax - Solutions
When calculating \(23_{6}+53_{6}\), a student obtains \(76_{6}\). How do you know an error was made?
Calculate \(323_{4} \times 132_{4}\).
Calculate \(21_{4} \div 3_{4}\).
What is meant by a place value system?
Evaluate the following exponential expression: \(4 \times 8^{2}+2 \times 8^{1}+7 \times 8^{0}\).
Express the following number in expanded form: 45,209.
What number provides the value of a digit in our system of numeration?
How are numerals and numbers different?
Express as a Hindu-Arabic number: \(6 \times 10^{5}+0 \times 10^{4}+1 \times 10^{3}+9 \times 10^{2}+4 \times 10^{1}+7 \times 10^{0}\).
What is the place value for Babylonian numerals?
What place value is used in the Mayan numeration system?
What place value is used for Roman numerals?
Convert the Babylonian numeralinto a Hindu-Arabic numeral.
Convert the Mayan numeral into a Hindu-Arabic numeral.
Convert the Roman numeral CCXLVII into a Hindu-Arabic numeral.
Convert 479 into a Roman numeral.
In base 25 , how many symbols would be necessary?
In base 18, what would the place value of the 4 be in the number \(348_{18}\) be?
Convert \(2304_{5}\) into base 10.
When counting in base 9 , what number would follow 389 ?
Convert 329 into base 8 .
Convert \(\mathrm{ABC}_{14}\) into base 10 .
How do you know a mistake was made when converting from base 10 to base 4 and the result is \(152_{4}\) ?
Determine the addition table for base 8 .
Compute \(24_{6}+53_{6}\).
Compute \(35_{8}-26_{8}\).
Compute \(3 \mathrm{~B}_{14}+45_{14}\).
Compute \(\mathrm{A}_{12}-9 \mathrm{~B}_{12}\).
How do you know an error has occurred in a base 8 addition question if the answer obtained was \(28_{8}\) ?
What is one common error made in calculating in base 14 ?
To create the multiplication table for a given base, what should be used?
What are the differences between multiplying in base 10 and multiplying in a different base?
When dividing in a base other than base 10 , what table is referenced?
Compute \(24_{6} \times 53_{6}\).
Compute \(32_{14} \div 4_{14}\).
How do you know an error has occurred in a base 5 multiplication question if the answer obtained was 285 ?
What are two common ways to determine an error is committed when computing in \(s\) base other than base 10 ?
What is the base of \(5^{7}\) ?
What is the exponent of \(5^{7}\) ?
Compute \(4^{5}+3^{2}\).
Convert the Hindu-Arabic number into expanded form: 4,201.
Convert the expression to a Hindu-Arabic numeral: \(6 \times 10^{3}+3 \times 10^{2}+7 \times 10^{1}+5 \times 10^{0}\).
Which systems-Hindu-Arabic, Roman, Mayan, or Babylonian-are additive systems?
Which systems-Hindu-Arabic, Roman, Mayan, or Babylonian-are positional systems?
Which systems-Hindu-Arabic, Roman, Mayan, or Babylonian-use a 0 ?
In the Babylonian system, what are the place values based on?
In the Mayan system, what are the place values based on?
Convert the Babylonian numeral to a Hindu-Arabic numeral.
Convert the Mayan numeral to a Hindu-Arabic numeral.
Convert the Roman numeral MMCDXLVII into a Hindu-Arabic numeral.
Convert the Hindu-Arabic numeral 394 to a Roman numeral.
List the numbers from 0 to 100 in base 5 .
In base 8 , what is the place value of the 3 in the number 6388 ?
How many symbols are needed for a base 17 system?
What does it mean for a number to be in base 6 ?
What symbols are used in a base 12 system?
When converting from a base 10 number to a base 2 number, would the number of digits decrease?
Convert \(311_{5}\) to base 10.
Convert \(45_{12}\) to base 10 .
Convert \(1001_{2}\) to base 10 .
Convert 459 to base 8 .
Convert 1198 to base 12.
Convert 38 to base 2.
When converting from base 10 to base 4 , the result obtained was 1424 . How can you tell an error was made?
Create the addition table for base 5.
How many addition rules are there for a base 7 system?
Calculate \(34_{5}+44_{5}\).
Calculate \(\mathrm{A} 7_{12}+88_{12}\).
Calculate \(541_{6}-233_{6}\).
Calculate \(5 \mathrm{~B}_{12}-1 \mathrm{~A}_{12}\).
When adding in base 8 , the result \(911_{8}\) is found. How do we know a mistake was made?
What is the process for creating the multiplication table for a base other than 10 ?
Create the multiplication table for base 7.
How many multiplication rules are there in a base 3 system?
Calculate \(14_{7} \times 25_{7}\).
Calculate \(67_{12} \times 3 \mathrm{~B}_{12}\).
Calculate \(42_{7} \div 5_{7}\).
Calculate \(38_{12} \div \mathrm{B}_{12}\).
When multiplying \(14_{12} \times 10_{12}\), the result 140 is found. How do we know a mistake was made?
base 5 Create the multiplication table for the given base.
base 3 Create the multiplication table for the given base.
base 16 Create the multiplication table for the given base.
base 2 Create the multiplication table for the given base.
\(4_{6} \times 3_{6}\)Perform the indicated base 6 operation.
\(14_{6} \times 5_{6}\)Perform the indicated base 6 operation.
\(31_{6} \times 3_{6}\)Perform the indicated base 6 operation.
\(43_{6} \times 34_{6}\)Perform the indicated base 6 operation.
\(532_{6} \times 23_{6}\)Perform the indicated base 6 operation.
\(254_{6} \times 143_{6}\)Perform the indicated base 6 operation.
\(20_{6} \div 3_{6}\)Perform the indicated base 6 operation.
\(23_{5} \div 5_{6}\)Perform the indicated base 6 operation.
\(5_{12} \times 6_{12}\)Perform the indicated base 12 operation.
\(3_{12} \times \mathrm{A}_{12}\)Perform the indicated base 12 operation.
\(34_{12} \times 7_{12}\)Perform the indicated base 12 operation.
\(76_{12} \times B_{12}\)Perform the indicated base 12 operation.
\(59_{12} \times 1 \mathrm{~A}_{12}\)Perform the indicated base 12 operation.
\(\mathrm{A}_{12} \times 36_{12}\)Perform the indicated base 12 operation.
\(53_{12} \div 9_{12}\)Perform the indicated base 12 operation.
\(2 \mathrm{~B}_{12} \div 7_{12}\)Perform the indicated base 12 operation.
Explain two ways to detect an error in arithmetic in bases other than base 10.
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