How can expression 5 plus 4 squared plus 6 minus 2 squared minus 1 be grouped to equal 19?
5-4²+6-2²-1=5-16+6-4-1
=5+6-16-4-1
=11-5-16=-10
not true
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To group the expression in a way that equals 19, we need to follow the order of operations (also known as PEMDAS or BODMAS), which stands for Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).
Let's break down the expression step by step:
1. Begin with the exponentiation: (5 + 4^2 + 6 - 2^2 - 1).
The exponents are evaluated first, so we have (5 + 16 + 6 - 4 - 1).
2. Next, perform the addition and subtraction operations from left to right:
Start by adding the first two numbers: (5 + 16) = 21.
Then, subtract the next two numbers: (21 + 6) = 27.
Finally, subtract the last number: (27 - 4) = 23.
Therefore, the expression "5 plus 4 squared plus 6 minus 2 squared minus 1" cannot be grouped to equal 19, but it evaluates to 23.