The value of {5−5÷(10−12)×8+9}×3+5+5×5÷5 of 5 is:
- A57
- B114
- C102
- D108
Solution & Step-by-step Explanation
Let's solve the expression step-by-step using the BODMAS rule.
The expression is:
{5−5÷(10−12)×8+9}×3+5+5×5÷5 of 5
First, simplify the inner brackets (10−12):
={5−5÷(−2)×8+9}×3+5+5×5÷5 of 5
Next, solve the components inside the curly braces {}:
Division: 5÷(−2)=−2.5
Multiplication: −(−2.5)×8=20
Substitute back: {5+20+9}=34
Now substitute this back into the main expression:
=34×3+5+5×5÷5 of 5
Now follow BODMAS order for the remaining parts:
Of: 5 of 5=5×5=25
=34×3+5+5×5÷25
Division: 5÷25=
5
1
=34×3+5+5×
5
1
Multiplication: 34×3=102 and 5×
5
1
=1
=102+5+1
Addition:
=108
The expression is:
{5−5÷(10−12)×8+9}×3+5+5×5÷5 of 5
First, simplify the inner brackets (10−12):
={5−5÷(−2)×8+9}×3+5+5×5÷5 of 5
Next, solve the components inside the curly braces {}:
Division: 5÷(−2)=−2.5
Multiplication: −(−2.5)×8=20
Substitute back: {5+20+9}=34
Now substitute this back into the main expression:
=34×3+5+5×5÷5 of 5
Now follow BODMAS order for the remaining parts:
Of: 5 of 5=5×5=25
=34×3+5+5×5÷25
Division: 5÷25=
5
1
=34×3+5+5×
5
1
Multiplication: 34×3=102 and 5×
5
1
=1
=102+5+1
Addition:
=108