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Simplify the expression (7+5)+4⋅13−2.
To simplify the expression (7+5)+4⋅13−2, we start by performing the calculations inside the parentheses first.
Step 1: (7+5) = 12
Now we substitute this value into the expression:
(7+5)+4⋅13−2 = 12 + 4⋅13−2
Next, we perform the multiplication:
Step 2: 4⋅13=52
Now we substitute this value back into the expression:
12 + 4⋅13−2 = 12 + 52 - 2
Finally, we perform the remaining addition and subtraction:
Step 3: 12 + 52 = 64
Step 4: 64 - 2 = 62
Therefore, the simplified expression is 62.
To simplify the expression (7+5)+4⋅13-2, we need to follow the order of operations (PEMDAS/BODMAS), which stands for Parentheses/Bracket, Exponents/Orders, Multiplication/Division, and Addition/Subtraction.
Step 1: Solve the expression inside the parentheses:
(7+5) = 12
The expression now becomes 12+4⋅13-2.
Step 2: Perform the multiplication:
4⋅13 = 52
The expression now becomes 12+52-2.
Step 3: Perform the addition and subtraction from left to right:
12+52 = 64
The expression now becomes 64-2.
Step 4: Perform the final subtraction:
64-2 = 62
Therefore, the simplified expression is 62.