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Chapter 1: Q60. (page 14)

Explain how to evaluate a[(b鈭�c)梅d]鈭�f if you were given values for a, b, c, d, and f. How would you evaluate the expression differently if the expression wasa鈰�b鈭�c梅d鈭�f?

Short Answer

Expert verified

The value of the expression of a[(b鈭�c)梅d]鈭�fis h鈭�f.

The value of the expression of a鈰�b鈭�c梅d鈭�f.is p鈭�q鈭�f.

Step by step solution

01

Step 1. Apply the BODMAS rule.

According to the BODMAS rule of simplification, at first, the bracket operation must be completed followed division, by multiplication, addition, and finally subtraction.

02

Step 2. Example of applying BODMAS rule.

The expression b(c鈭�d)鈭�ecan be written as

b(c鈭�d)梅e=[(b脳c)鈭�(b脳d)]梅e鈥�鈥夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌�=(bc鈭�bd)梅e鈥�鈥夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆��=(bc鈭�bd)e

03

Step 3. DESCRIPTION OF STEP.

a[(b鈭�c)梅d]鈭�f

Solving the term having round brackets ( ) within the square brackets [ ] (Q BODMAS Rule)

=a[e梅d]鈭�f(Assume b鈭�c=e)

Solving the term within square brackets [ ] (Q BODMAS Rule)

=a鈰�g鈭�f(Assume e梅d=g)

Solving the terms being multiplied (Q BODMAS Rule)

=h鈭�f(Assume a鈰�g=h)

a鈰�b鈭�c梅d鈭�f

Solving the terms being divided (Q BODMAS Rule)

=a鈰�b鈭�q鈭�f(Assume c梅d=q)

Solving the terms being multiplied [ ] (Q BODMAS Rule)

=p鈭�q鈭�f(Assume a鈰�b=p)

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