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Chapter 1: Q10. (page 12)

Evaluate the expression 8b鈭�aif a=4,鈥夆赌�b=6,鈥夆赌�c=8.

Short Answer

Expert verified

The value of the expression8b-a is 44.

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 5b鈭�2awhere a=3,鈥夆赌�b=4can be written as

5b鈭�2a=5(4)鈭�2(3)鈥夆赌夆�夆赌夆�夆赌夆�夆赌夆�夆赌夆�夆赌夆�夆赌夆�夆赌夆�夆赌�=(5脳4)鈭�(2脳3)鈥夆赌夆�夆赌夆�夆赌夆�夆赌夆�夆赌夆�夆赌夆�夆赌夆�夆赌夆�夆赌�=20鈭�6鈥夆赌夆�夆赌夆�夆赌夆�夆赌夆�夆赌夆�夆赌夆�夆赌夆�夆赌夆�夆赌�=14

03

Step 3. DESCRIPTION OF STEP.

Substituting a=4andb=6in 8b鈭�a

8b鈭�a=86鈭�4

Now simplifying the expression, it can be obtained that

86=8脳6=48

Therefore,

86鈭�4=48鈭�4=44

Hence, 8b鈭�a=44if a=4andb=6.

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