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mathematics
contemporary mathematics
Contemporary Mathematics 1st Edition OpenStax - Solutions
\(13 \times 99\)Use properties of real numbers and mental math to calculate the expression.
\(15 \times 39\)Use properties of real numbers and mental math to calculate the expression.
\(43 \times 101\)Use properties of real numbers and mental math to calculate the expression.
\(16 \times 999\)Use properties of real numbers and mental math to calculate the expression.
Which operations have the lowest precedence in order of operations?
If many operations have the same precedence in an expression, in what order should the operations be performed?
Which operations have the same precedence in order of operations?
After all operations in parentheses have been performed, which operations should be performed next?
\(4-5 \times 6\)Perform the indicated calculation.
\(34-10 \times 6\)Perform the indicated calculation.
\(18+8 \times 13\)Perform the indicated calculation.
\(40+12 \times 17\)Perform the indicated calculation.
\(50 \div 2+8\)Perform the indicated calculation.
\(72 \div 6+18\)Perform the indicated calculation.
\(13+4 \times 3^{2}\)Perform the indicated calculation.
\(45-6 \times 7^{3}\)Perform the indicated calculation.
\(6^{2} \times 5-13 \times 9^{2}\)Perform the indicated calculation.
\(14^{2} \times 8-5 \times 2^{4}\)Perform the indicated calculation.
\(450 \div 3^{2}-56 \div 2^{2}\)Perform the indicated calculation.
\(1,000 \div 5^{3}-7 \times 8^{4}\)Perform the indicated calculation.
\(38 \times 6-4+5 \times 18 \div 10\)Perform the indicated calculation.
\(15 \times 7+23-6 \times 40 \div 24\)Perform the indicated calculation.
\(600 \div 12 \times 5+40-6^{2}\)Perform the indicated calculation.
\(2 \times 12^{3} \div 8 \times 3-4^{5}\)Perform the indicated calculation.
\(10 \times 6^{3} \div 2 \times 5+3^{2}-240 \div 8 \times 9\)Perform the indicated calculation.
\(45 \div 15 \times 6+7^{2}-4 \times 15 \times 18 \div 12 \times 3\)Perform the indicated calculation.
\((4+3) \times 2\)Perform the indicated calculation.
\(6 \times(12+8)\)Perform the indicated calculation.
\((14-25) \times 2\)Perform the indicated calculation.
\((86-61) \div 5\)Perform the indicated calculation.
\((3+2)^{3}\)Perform the indicated calculation.
\((17-12)^{4}\)Perform the indicated calculation.
\((45-60)^{2}\)Perform the indicated calculation.
\((90-101)^{3}\)Perform the indicated calculation.
\((3 \times 4)^{3} \div 8+5\)Perform the indicated calculation.
\((6-9)^{2} \times 5-4\)Perform the indicated calculation.
\(4-(6+3) \times 5+11\)Perform the indicated calculation.
\(12+(13-6) \times 8-130\)Perform the indicated calculation.
\(15 \times(4-1)^{2}+5 \times(17+2 \times 3)+4\)Perform the indicated calculation.
\(18 \times(12-6)^{4}-8 \times(30-14 \times 16)-90\)Perform the indicated calculation.
\(4 \times(5+2 \times(6+8))+10 \times 3^{2}\)Perform the indicated calculation.
\(9 \times(13-12 \times(41-32))-8 \times 45\)Perform the indicated calculation.
\(21-3 \times(5 \times(2+6)-3 \times(18-11)+25) \div 2\)Perform the indicated calculation.
\(48-6 \times(10 \times(18+12)-25 \times(16-9)+19) \div 4\)Perform the indicated calculation.
4.598 Identify which of the following are rational numbers.
\(\sqrt{144}\)Identify which of the following are rational numbers.
\(\sqrt{131}\)Identify which of the following are rational numbers.
\(\frac{8}{10}\)Reduce the fraction to lowest terms.
\(\frac{30}{105}\)Reduce the fraction to lowest terms.
\(\frac{36}{539}\)Reduce the fraction to lowest terms.
\(\frac{231}{490}\)Reduce the fraction to lowest terms.
\(\frac{750}{17,875}\)Reduce the fraction to lowest terms.
Convert \(\frac{25}{6}\) to a mixed number.Do the indicated conversion. If it is a repeating decimal, use the correct notation.
Convert \(\frac{240}{53}\) to a mixed number.Do the indicated conversion. If it is a repeating decimal, use the correct notation.
Convert \(2 \frac{3}{8}\) to an improper fraction.Do the indicated conversion. If it is a repeating decimal, use the correct notation.
Convert \(15 \frac{7}{30}\) to an improper fraction.Do the indicated conversion. If it is a repeating decimal, use the correct notation.
Convert \(\frac{4}{9}\) to decimal form.Do the indicated conversion. If it is a repeating decimal, use the correct notation.
Convert \(\frac{13}{20}\) to decimal form.Do the indicated conversion. If it is a repeating decimal, use the correct notation.
Convert \(\frac{27}{625}\) to decimal form.Do the indicated conversion. If it is a repeating decimal, use the correct notation.
Convert \(\frac{11}{14}\) to decimal form.Do the indicated conversion. If it is a repeating decimal, use the correct notation.
Convert 0.23 to fraction form and reduce to lowest terms.Do the indicated conversion. If it is a repeating decimal, use the correct notation.
Convert 3.8874 to fraction form and reduce to lowest terms.Do the indicated conversion. If it is a repeating decimal, use the correct notation.
\(\frac{3}{5}+\frac{3}{10}\)Perform the indicated operations. Reduce to lowest terms.
\(\frac{3}{14}+\frac{8}{21}\)Perform the indicated operations. Reduce to lowest terms.
\(\frac{13}{36}-\frac{14}{99}\)Perform the indicated operations. Reduce to lowest terms.
\(\frac{13}{24}-\frac{4}{117}\)Perform the indicated operations. Reduce to lowest terms.
\(\frac{3}{7} \times \frac{21}{48}\)Perform the indicated operations. Reduce to lowest terms.
\(\frac{48}{143} \times \frac{77}{120}\)Perform the indicated operations. Reduce to lowest terms.
\(\frac{14}{27} \div \frac{7}{12}\)Perform the indicated operations. Reduce to lowest terms.
\(\frac{44}{75} \div \frac{484}{285}\)Perform the indicated operations. Reduce to lowest terms.
\(\left(\frac{3}{5}+\frac{2}{7}\right) \times \frac{10}{21}\)Perform the indicated operations. Reduce to lowest terms.
\(\frac{3}{8} \times\left(\frac{13}{12}-\frac{35}{36}\right)\)Perform the indicated operations. Reduce to lowest terms.
\(\left(\frac{3}{7}+\frac{5}{16}\right)^{2}-\frac{5}{12}\)Perform the indicated operations. Reduce to lowest terms.
\(\frac{3}{8} \times\left(\frac{4}{9}-\frac{1}{8}\right)^{2}\)Perform the indicated operations. Reduce to lowest terms.
\(\left(\frac{2}{5} \times\left(\frac{7}{8}-\frac{2}{3}\right)\right)^{2} \div\left(\frac{4}{9}+\frac{5}{6}\right)+\frac{7}{12}\)Perform the indicated operations. Reduce to lowest terms.
\(\left(\frac{1}{5} \div\left(\frac{3}{10}+\frac{11}{15}\right)\right) \times\left(\frac{2}{21}+\frac{5}{9}\right)-\left(\frac{8}{15} \div \frac{4}{33}\right)^{2}\)Perform the indicated operations. Reduce to lowest terms.
Find a rational number between \(\frac{8}{17}\) and \(\frac{15}{28}\)
Find a rational number between \(\frac{3}{50}\) and \(\frac{13}{98}\).
Find two rational numbers between \(\frac{3}{10}\) and \(\frac{19}{45}\).
Find three rational numbers between \(\frac{5}{12}\) and \(\frac{175}{308}\).
Convert \(24 \%\) to fraction form and reduce completely.
Convert \(95 \%\) to fraction form and reduce completely.
Convert 0.23 to a percentage.
Convert 1.22 to a percentage.
Determine \(30 \%\) of 250 .
Determine \(75 \%\) of 600 .
If \(25 \%\) of a group is 41 members, how many members total are in the group?
If \(80 \%\) of the total is 60 , how much is in the total?
13 is what percent of 20 ?
80 is what percent of 320 ?
Professor Donalson's history of film class has 60 students. Of those students, \(\frac{2}{5}\) say their favorite movie genre is comedy. How many of the students in Professor Donalson's class name comedy as their favorite movie genre?
Naia's dormitory floor has 80 residents. Of those, \(\frac{3}{8}\) play Fortnight for at least 15 hours per week. How many students on Naia's floor play Fortnight at least 15 hours per week?
In Tara's town there are 24,000 people. Of those, \(\frac{13}{100}\) are food insecure. How many people in Tara's town are food insecure?
Roughly \(\frac{4}{5}\) of air is nitrogen. If an enclosure holds 2,000 liters of air, how many liters of nitrogen should be expected in the enclosure?
To make the dressing for coleslaw, Maddie needs to mix it with \(\frac{3}{5}\) mayonnaise and \(\frac{2}{5}\) apple cider vinegar. If Maddie wants to have 8 cups of dressing, how many cups of mayonnaise and how many cups of apple cider vinegar does Maddie need?
Malika is figuring out their schedule. They wish to spend \(\frac{4}{15}\) of their time sleeping, \(\frac{1}{3}\) of their time studying and going to class, \(\frac{1}{5}\) of their time at work, and \(\frac{2}{15}\) of their time doing other activities, such as entertainment or exercising. There
Roughly \(20.9 \%\) of air is oxygen. How much oxygen is there in 200 liters of air?
\(65 \%\) of college students graduate within 6 years of beginning college. A first-year cohort at a college contains 400 students. How many are expected to graduate within 6 years?
A \(20 \%\) discount is offered on a new laptop. How much is the discount if the new laptop originally cost \(\$ 700\) ?
Leya helped at a neighborhood sale and was paid \(5 \%\) of the proceeds. If Leya is paid \(\$ 171.25\), what were the total proceeds from the neighborhood sale?
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