By Graham Eaton

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**Extra info for CIMA Official Learning System Fundamentals of Business Maths, Fourth Edition**

**Example text**

Thus, for example, to cube 4 the formula required would be ϭ 4∧3. To ﬁnd the square of 4, the formula required is ϭ 4∧2. The carat can also used to ﬁnd the square root. In this case the formula would be ϭ 4∧(1/2), or to ﬁnd the cube root the formula would be ϭ 4∧(1/3). The method is used to ﬁnd the 4th root, 5th root and so on. 6. 1 Linear equations with only one variable An equation is linear if it has no term with powers greater than 1, that is, no squared or cubed terms, etc. The method is to use the same techniques as in changing the subject of a formula, so that the equation ends up in the form variable ϭ something.

984 is to be rounded. In each case write the correct answer, to the accuracy speciﬁed. 05P. to two decimal places. to one decimal place. to the nearest whole number. to the nearest 100. to three signiﬁcant ﬁgures. to four signiﬁcant ﬁgures. Evaluate the following without rounding. (A) (B) (C) (D) (E) (F) 7ϩ2ϫ5 (5 ϩ 2) ϫ 8 28 – 48/4 (7 ϩ 3)/5 8ϩ4ϫ5Ϫ2 (8 Ϫ 4) ϫ (3 ϩ 7). 14 Each of the following has been algebraically simpliﬁed. Which of the answers given are correct, and which incorrect? 15 The formula V ϭ P ϫ (1 ϩ r)n occurs in compounding.

F. 13 Accuracy and approximation All business data are subject to errors or variations. Simple human error, the rounding of a ﬁgure to the nearest hundred or thousand (or whatever), and the inevitable inaccuracies that arise when forecasting the future value of some factor, are examples of why business data may not be precise. In certain circumstances, errors can accumulate, especially when two or more variables, each subject to error, are combined. The simplest such forms of combination are addition and subtraction.