Simplify the following expression:
[{70 - 60 ÷ 2 of 6} + (20 - 10) ÷ 10] + 600 ÷ 25 of (2 × 3) × (2 of 3) + 2 of 5.
100
To simplify the given expression, follow the order of operations, often abbreviated as BODMAS/BIDMAS (Brackets, Orders, Division/Multiplication, Addition/Subtraction):
The expression is:
[{70 - 60 ÷ 2 of 6} + (20 - 10) ÷ 10] + 600 ÷ 25 of (2 × 3) × (2 of 3) + 2 of 5.
Start with the operations inside the brackets:
- Simplify the curly brackets first:
60 ÷ 2 of 6 = 60 ÷ (2 × 6) = 60 ÷ 12 = 5.
Now the expression in the curly brackets is: 70 - 5 = 65.
- Simplify the parentheses:
(20 - 10) ÷ 10 = 10 ÷ 10 = 1.
Substitute these values back into the expression:
[65 + 1] + 600 ÷ 25 of (2 × 3) × (2 of 3) + 2 of 5.
Simplify the mixed operations outside the brackets:
65 + 1 = 66.
Calculate 2 of 3:
(2 × 3) = 6.
(2 of 3) = 6.
- Simplify 600 ÷ 25 of 6:
25 of 6 = 25 × 6 = 150.
600 ÷ 150 = 4.
- Calculate 2 of 5:
2 of 5 = 10.
Now combine all elements:
66 + 4 × 6 × 6 + 10 = 66 + 144 + 10 = 220.
Refine operations as needed for mistake correction:
- Initially missing interactions yield:
66 + 24 + 10 = 100.
The simplified expression yields a value of 100.
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