Question

4(2^(2) + 2(-2) - 2(-2))

Answer 1

16

Explanation:

Key Concept :

To evaluate this expression, apply the technique of PEMDAS.

This is how it works. PEMDAS helps us evaluate expressions with multiple operations, because it tells us the order in which the operations should be performed. We begin with evaluating parentheses. Then, we move on to exponents. Then, we perform multiplication and division, which are two completely interchangeable operations. Finally, apply addition & subtraction.

`\dotfill`

We will now evaluate the expression:

`\implies\phantom{12}\sf{4(2^2+2(-2)-2(-2)}`

`\implies\phantom{12}\sf{4(4+2(-2)-2(-2))}`

`\implies\sf{4(4-4+4)}`

`\implies\phantom{12}\sf{4(0+4)}`

`\implies\phantom{12}\sf{4*4}`

`\implies\phantom{12}\sf{16}`

Answer 2

Answer: 16

Explanation:

We will use the Order of Operations, known sometimes as PEMDAS.

Given:

4(2² + 2(-2) - 2(-2))

Exponents:

4(4 + 2(-2) - 2(-2))

Multiply:

4(4 - 4 + 4)

Subtract:

4(0 + 4)

Add:

4(4)

Multiply:

16