By Allen R. Angel

In a Liberal Arts Math direction, a typical query scholars ask is, “Why do i need to understand this?” **A Survey of arithmetic with functions **continues to be a best-seller since it indicates scholars **how** we use arithmetic in our day-by-day lives and **why** **this is important**. The 9th version extra emphasizes this with the addition of latest “**Why this can be Important**” sections in the course of the textual content. Real-life and up to date examples inspire the subjects all through, and quite a lot of workouts support scholars to improve their problem-solving and significant pondering talents.

Angel, Abbott, and Runde current the cloth in a manner that's transparent and obtainable to non-math majors. The textual content contains a big variety of math issues, with contents which are versatile to be used in anybody- or two-semester Liberal Arts Math direction.

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**Example text**

Next, make a list of the given facts and determine which facts are relevant to answering the question or questions asked. GIVEN INFORMATION Party host: Karen Morris Pizza shop: Pizza Corner A medium pizza costs $9. A medium pizza has a 14" diameter. A medium pizza contains 8 slices. A large pizza costs $12. A large pizza has a 17" diameter. A large pizza contains 12 slices. Only entire pizzas can be purchased. We need to determine the maximum number of slices Karen can purchase for $75 or less.

Common sense tells us that 7, 8, and 9 cannot be in the same row, column, or diagonal. We need some small and large numbers in the same row, column, and diagonal. To see a relationship, we list the numbers in order: 1 , 2, 3, 4, 5 , 6, 7, 8, 9 28 CHAPTER 1 Critical Thinking Skills Note that the middle number is 5 and the smallest and largest numbers are 1 and 9, respectively. The sum of 1, 5, and 9 is 15. If the sum of 2 and 8 is added to 5, the sum is 15. Likewise 3, 5, 7, and 4, 5, 6 have sums of 15.

The sum of 9 and 2 is 11. To arrive at a sum of 15, we place 4 in the upper left-hand cell as in Fig. 2(c). Now the diagonals 2, 5, 8, and 4, 5, 6 have sums of 15. The numbers that remain to be placed in the empty cells are 3 and 7. Using arithmetic, we can see that 3 goes in the top middle cell and 7 goes in the bottom middle cell, as in Fig. 2(d). A check shows that the sum in all the rows, columns, and diagonals is 15. ■ The solution to Example 7 is not unique. Other arrangements of the nine numbers in the cells will produce a magic square.