Answer:
[tex][15: (3 \times 5) + 4] \times 8[/tex]
Step-by-step explanation:
First of all, let us have a look at the rule for solving brackets/parentheses/algebraic operations.
The rule states that the expression must be solved in the following order:
B - Brackets (Innermost parentheses first, then the enclosing brackets are solved)
O - Of (for example 10% of 20)
D - Divide operation
M - Multiplication operation
A - Addition operation
S - Subtraction operation
So, we need to add a set of parentheses i.e. () and a set of brackets i.e. [] in the expression:
[tex]15: 3 \times 5 + 4 \times 8[/tex] such that the result is 40.
Consider the expression: [tex][15: (3 \times 5) + 4] \times 8[/tex]
Let us try to solve the expression using the above rule:
[tex][15: (3 \times 5) + 4] \times 8[/tex]
First of all, the innermost () will be solved:
[tex](3\times 5) = 15[/tex]
Now, the expression becomes:
[tex][15: 15 + 4] \times 8[/tex]
Now, 15:15 will be solved as 1
[tex][1+ 4] \times 8[/tex]
Now, the outer [] will be solved:
[tex]5\times 8 = 40[/tex]
Hence, the correct answer is:
[tex][15: (3 \times 5) + 4] \times 8[/tex]
