Search
- https://math.libretexts.org/Bookshelves/PreAlgebra/Fundamentals_of_Mathematics_(Burzynski_and_Ellis)/10%3A_Signed_Numbers/10.04%3A_Addition_of_Signed_NumbersAlso, notice that the sign of the number with the larger absolute value is negative and that the sign of the resulting sum is negative. Addition of numbers with unlike signs: To add two real numbers t...Also, notice that the sign of the number with the larger absolute value is negative and that the sign of the resulting sum is negative. Addition of numbers with unlike signs: To add two real numbers that have unlike signs, subtract the smaller absolute value from the larger absolute value and associate with this difference the sign of the number with the larger absolute value.
- https://math.libretexts.org/Bookshelves/PreAlgebra/Fundamentals_of_Mathematics_(Burzynski_and_Ellis)/08%3A_Techniques_of_Estimation/8.06%3A_Exercise_SupplementExercise \(\PageIndex{1}\) Exercise \(\PageIndex{2}\) Exercise \(\PageIndex{3}\) Exercise \(\PageIndex{4}\) Exercise \(\PageIndex{5}\) Exercise \(\PageIndex{6}\) Exercise \(\PageIndex{7}\) Exercise \(...Exercise \(\PageIndex{1}\) Exercise \(\PageIndex{2}\) Exercise \(\PageIndex{3}\) Exercise \(\PageIndex{4}\) Exercise \(\PageIndex{5}\) Exercise \(\PageIndex{6}\) Exercise \(\PageIndex{7}\) Exercise \(\PageIndex{8}\) Exercise \(\PageIndex{9}\) Exercise \(\PageIndex{10}\) Exercise \(\PageIndex{11}\) Exercise \(\PageIndex{12}\) Exercise \(\PageIndex{13}\) Exercise \(\PageIndex{14}\) Exercise \(\PageIndex{15}\) Exercise \(\PageIndex{16}\) Exercise \(\PageIndex{17}\) Exercise \(\PageIndex{18}\)
- https://math.libretexts.org/Bookshelves/PreAlgebra/Fundamentals_of_Mathematics_(Burzynski_and_Ellis)/09%3A_Measurement_and_GeometryThumbnail: A two-dimensional perspective projection of a sphere (CC BY-3.0; Geek3 via Wikipedia).
- https://math.libretexts.org/Bookshelves/PreAlgebra/Fundamentals_of_Mathematics_(Burzynski_and_Ellis)/07%3A_Ratios_and_Rates/7.05%3A_Fractions_of_One_Percent\(\begin{array} {l} {\dfrac{1}{2} \% = \dfrac{1}{2} \text{ of } 1\% = \dfrac{1}{2} \cdot \dfrac{1}{100} = \dfrac{1}{200}} \\ {\dfrac{3}{5} \% = \dfrac{3}{5} \text{ of } 1\% = \dfrac{3}{5} \cdot \dfrac...\(\begin{array} {l} {\dfrac{1}{2} \% = \dfrac{1}{2} \text{ of } 1\% = \dfrac{1}{2} \cdot \dfrac{1}{100} = \dfrac{1}{200}} \\ {\dfrac{3}{5} \% = \dfrac{3}{5} \text{ of } 1\% = \dfrac{3}{5} \cdot \dfrac{1}{100} = \dfrac{3}{500}} \\ {\dfrac{5}{8} \% = \dfrac{5}{8} \text{ of } 1\% = \dfrac{5}{8} \cdot \dfrac{1}{100} = \dfrac{5}{800}} \\ {\dfrac{7}{11} \% = \dfrac{7}{11} \text{ of } 1\% = \dfrac{7}{11} \cdot \dfrac{1}{100} = \dfrac{7}{1100}} \end{array}\)
- https://math.libretexts.org/Bookshelves/PreAlgebra/Fundamentals_of_Mathematics_(Burzynski_and_Ellis)/09%3A_Measurement_and_Geometry/9.06%3A_Summary_of_Key_ConceptsMove the decimal point of the original number in the same direction and the same number of places as is necessary to move to the metric unit you wish to convert to. To multiply a denominate number by ...Move the decimal point of the original number in the same direction and the same number of places as is necessary to move to the metric unit you wish to convert to. To multiply a denominate number by a whole number, multiply the number part of each unit by the whole number and affix the unit to the product. To divide a denominate number by a whole number, divide the number part of each unit by the whole number beginning with the largest unit.
- https://math.libretexts.org/Bookshelves/PreAlgebra/Fundamentals_of_Mathematics_(Burzynski_and_Ellis)/04%3A_Introduction_to_Fractions_and_Multiplication_and_Division_of_Fractions/4.04%3A_Multiplication_of_Fractions\(\begin{array} {rcl} {\dfrac{11}{8} \cdot 4 \dfrac{1}{2} \cdot 3 \dfrac{1}{8}} & = & {\dfrac{11}{8} \cdot \dfrac{\begin{array} {c} {^3} \\ {\cancel{9}} \end{array}}{\begin{array} {c} {\cancel{2}} \\ ...\(\begin{array} {rcl} {\dfrac{11}{8} \cdot 4 \dfrac{1}{2} \cdot 3 \dfrac{1}{8}} & = & {\dfrac{11}{8} \cdot \dfrac{\begin{array} {c} {^3} \\ {\cancel{9}} \end{array}}{\begin{array} {c} {\cancel{2}} \\ {^1} \end{array}} \cdot \dfrac{\begin{array} {c} {^5} \\ {\cancel{10}} \end{array}}{\begin{array} {c} {\cancel{3}} \\ {^1} \end{array}}} \\ {} & = & {\dfrac{11 \cdot 3 \cdot 5}{8 \cdot 1 \cdot 1} = \dfrac{165}{8} = 20 \dfrac{5}{8}} \end{array}\)
- https://math.libretexts.org/Bookshelves/PreAlgebra/Fundamentals_of_Mathematics_(Burzynski_and_Ellis)/04%3A_Introduction_to_Fractions_and_Multiplication_and_Division_of_Fractions/4.06%3A_Applications_Involving_Fractions\(\begin{array} {rcl} {M = \dfrac{9}{4} \div \dfrac{3}{8} = \dfrac{9}{4} \cdot \dfrac{8}{3}} & = & {\dfrac{\begin{array} {c} {^3} \\ {\cancel{9}} \end{array}}{\begin{array} {c} {\cancel{4}} \\ {^1} \e...\(\begin{array} {rcl} {M = \dfrac{9}{4} \div \dfrac{3}{8} = \dfrac{9}{4} \cdot \dfrac{8}{3}} & = & {\dfrac{\begin{array} {c} {^3} \\ {\cancel{9}} \end{array}}{\begin{array} {c} {\cancel{4}} \\ {^1} \end{array}} \cdot \dfrac{\begin{array} {c} {^2} \\ {\cancel{8}} \end{array}}{\begin{array} {c} {\cancel{3}} \\ {^1} \end{array}}} \\ {} & = & {\dfrac{3 \cdot 2}{1 \cdot 1}} \\ {} & = & {6} \end{array}\)
- https://math.libretexts.org/Bookshelves/PreAlgebra/Fundamentals_of_Mathematics_(Burzynski_and_Ellis)/02%3A_Multiplication_and_Division_of_Whole_Numbers/2.03%3A_Division_of_Whole_NumbersThe educated guess can be made by determining how many times the divisor is contained in the dividend by using only one or two digits of the dividend. Use the first digit of the divisor and the first ...The educated guess can be made by determining how many times the divisor is contained in the dividend by using only one or two digits of the dividend. Use the first digit of the divisor and the first two digits of the dividend to make the educated guess. If, however, the division should result in a remainder, the calculator is unable to provide us with the particular value of the remainder.
- https://math.libretexts.org/Bookshelves/PreAlgebra/Fundamentals_of_Mathematics_(Burzynski_and_Ellis)/02%3A_Multiplication_and_Division_of_Whole_Numbers/2.08%3A_Proficiency_ExamIn the multiplication of \(8 \times 7 = 56\), what are the names given to the 8 and 7 and the 56? 8 and 7 are factors; 56 is the product In the division \(12 \div 3 = 4\), what are the names given to ...In the multiplication of \(8 \times 7 = 56\), what are the names given to the 8 and 7 and the 56? 8 and 7 are factors; 56 is the product In the division \(12 \div 3 = 4\), what are the names given to the 3 and the 4? 3 is the divisor; 4 is the quotient Name the digits that a number must end in to be divisible by 2. Name the property of multiplication that states that the order of the factors in a multiplication can be changed without changing the product.
- https://math.libretexts.org/Bookshelves/PreAlgebra/Fundamentals_of_Mathematics_(Burzynski_and_Ellis)/01%3A_Addition_and_Subtraction_of_Whole_Numbers
- https://math.libretexts.org/Bookshelves/PreAlgebra/Fundamentals_of_Mathematics_(Burzynski_and_Ellis)/03%3A_Exponents_Roots_and_Factorization_of_Whole_Numbers/3.04%3A_The_Greatest_Common_Factor\(\begin{array} {rcl} {700 \ = \ 2 \cdot 350 \ = \ 2 \cdot 2 \cdot 175} & = & {2 \cdot 2 \cdot 5 \cdot 35} \\ {} & = & {2 \cdot 2 \cdot 5 \cdot 5 \cdot 7} \\ {} & = & {2^2 \cdot 5^2 \cdot 7} \\ {1,880...\(\begin{array} {rcl} {700 \ = \ 2 \cdot 350 \ = \ 2 \cdot 2 \cdot 175} & = & {2 \cdot 2 \cdot 5 \cdot 35} \\ {} & = & {2 \cdot 2 \cdot 5 \cdot 5 \cdot 7} \\ {} & = & {2^2 \cdot 5^2 \cdot 7} \\ {1,880 \ = \ 2 \cdot 940 \ = \ 2 \cdot 2 \cdot 470} & = & {2 \cdot 2 \cdot 2 \cdot 235} \\ {} & = & {2 \cdot 2 \cdot 2 \cdot 5 \cdot 47} \\ {} & = & {2^3 \cdot 5 \cdot 47} \\ {6,160 \ = \ 2 \cdot 3,080 \ = \ 2 \cdot 2 \cdot 1,540} & = & {2 \cdot 2 \cdot 2 \cdot 770} \\ {} & = & {2 \cdot 2 \cdot 2 \cdot 2…
