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Chapter 1: Q59. (page 14)

Tara and Curtis are simplifying 410鈭�32+64. Is either of them correct? Explain your reasoning.

Short Answer

Expert verified

The simplification done by Curtis is correct.

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 expression2路5(3鈭�2)鈭�10can be written as

2路5(3鈭�2)鈭�10=2路5(1)鈭�10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赌夆赌夆赌�=(2脳5脳1)鈭�10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赌夆赌夆赌�=10鈭�10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赌夆赌夆赌�=0

03

Step 3. Description of step.

The correct simplification is,

[4(10)鈭�32]+6(4)=[40鈭�9]+24=31+24=55

In the simplification done by Tara, subtraction is done before multiplication, which is violating the BODMAS Rule.

Thus, the simplification of Tara is incorrect.

The simplification of Curtis is correct.

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