To evaluate the given expression, we need to remember the order of operations. The acronym PEMDAS can help with that!
First we simplify calculations that are in parentheses. Second, we calculate exponents and roots. Then, we simplify multiplication and division, which are solved on the same level of importance and from left to right. Finally, we calculate addition and subtraction, which are also on the same level of importance, from left to right. Let's now consider our expression.
4^2-(3.1+6.4)+4.5
For the given expression, this means evaluating the expression inside the parentheses first, calculating the exponent next, and finally addition and subtraction. Let's do it!
Operation
Before Simplification
After Simplification
Add terms
4^2-( 3.1+ 6.4)+4.5
4^2- 9.5+4.5
Calculate power
4^2-9.5+4.5
16-9.5+4.5
Subtract term
16- 9.5+4.5
6.5+4.5
Add terms
6.5+ 4.5
11
Now we are ready to fully complete the boxes!
&4^2-(3.1+6.4)+4.5 &=4^2-9.5+4.5 &=16-9.5+4.5 &=6.5+4.5 &=11
