Elementary

By Gardner M.

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Extra resources for A Die of Another Color

Example text

Solution 40 Ϫ 24 Ϭ 8 ϩ (5 Ϫ 3) 2 40 Ϫ 24 Ϭ 8 ϩ 22 40 Ϫ 24 Ϭ 8 ϩ 4 40 Ϫ 3 ϩ 4 37 ϩ 4 41 First, perform the operation in the parentheses. Exponents are done before division, addition, and subtraction. Perform division before addition and subtraction. When an expression contains only addition and subtraction, perform the operations starting at the left and moving to the right. ■ You Try 4 Evaluate: 12 ؒ 3 Ϫ (2 ϩ 1)2 Ϭ 9. A good way to remember the order of operations is to remember the sentence, “Please Excuse My Dear Aunt Sally” (Parentheses, Exponents, Multiplication and Division from left to right, Addition and Subtraction from left to right).

6, 12 , 18, 24, 30, . . Although 24 is a multiple of 6 and of 4, the least common multiple, and therefore the least common denominator, is 12. Method 2 We can also use the prime factorizations of 4 and 6 to find the LCD. 1 Review of Fractions 11 To find the LCD: 1) Find the prime factorization of each number. 2) The least common denominator will include each different factor appearing in the factorizations. 3) If a factor appears more than once in any prime factorization, use it in the LCD the maximum number of times it appears in any single factorization.

8 11 Multiply. 1 The reciprocal of 9 is . 9 1 3 1 ϭ ؒ 2 9 Divide out a common factor of 3. 3 ϭ 1 6 Multiply. 1 1 21 14 c) 5 Ϭ 1 ϭ Ϭ 4 13 4 13 21 13 ؒ ϭ 4 14 Change the mixed numbers to improper fractions. Multiply 21 14 by the reciprocal of . 4 13 3 21 13 ؒ ϭ 4 14 Divide out a common factor of 7. 2 39 7 ϭ or 4 8 8 Express the answer as an improper fraction or mixed number. You Try 8 Divide. Write the answer in lowest terms. 1 Review of Fractions 9 4. Add and Subtract Fractions The pizza on top is cut into eight equal slices.