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Simplify the expression (7+5)+4⋅13−2.
To simplify the expression (7+5)+4⋅13−2, we follow the order of operations (also known as PEMDAS) which states that we should first perform any calculations inside parentheses, then any exponents, then multiplication and division from left to right, and finally addition and subtraction from left to right.
Step 1: Simplify inside the parentheses.
(7+5)+4⋅13−2 = 12+4⋅13−2
Step 2: Multiply.
12+4⋅13−2 = 12+52−2
Step 3: Add.
12+52−2 = 64−2
Step 4: Subtract.
64−2 = 62
Therefore, the expression (7+5)+4⋅13−2 simplifies to 62.
To simplify the expression (7+5)+4⋅13−2, follow the order of operations (also known as PEMDAS: Parentheses, Exponents, Multiplication and Division from left to right, and Addition and Subtraction from left to right):
Step 1: First, simplify the expression inside the parentheses: 7 + 5 = 12.
The expression now becomes 12 + 4⋅13−2.
Step 2: Next, perform the multiplication operation: 4⋅13 = 52.
The expression now becomes 12 + 52 − 2.
Step 3: Finally, perform the addition and subtraction operations from left to right: 12 + 52 = 64, and 64 − 2 = 62.
Thus, the simplified expression is 62.