6+4•5+3=80 insert grouping symbols so that the expression has the desired value
(6+4) • (5+3) = 80
To insert grouping symbols in the expression 6 + 4 • 5 + 3 = 80, we need to determine the intended order of operations.
Following the order of operations (PEMDAS/BODMAS), where Parentheses/Brackets come first, followed by Exponents/Orders, Multiplication/Division (from left to right), and Addition/Subtraction (from left to right), we can add grouping symbols to achieve the desired value.
Let's consider the different possibilities:
1. (6 + 4) • 5 + 3 = 10 • 5 + 3 = 50 + 3 = 53
Here, we have grouped the addition operation (6 + 4) using parentheses, which allows us to perform it first.
2. 6 + (4 • 5) + 3 = 6 + 20 + 3 = 29
Here, we have grouped the multiplication operation (4 • 5) using parentheses, allowing us to perform it before addition.
3. 6 + (4 • 5 + 3) = 6 + (20 + 3) = 6 + 23 = 29
Here, we have grouped the addition operation (4 • 5 + 3) using parentheses, allowing us to perform it first.
From the above possibilities, we can see that there is no way to insert grouping symbols in the expression 6 + 4 • 5 + 3 to obtain a value of 80.