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.
157.8-(3^2+6)* 3
For the given expression, this means evaluating the expression inside the parentheses first, multiplication next, and finally subtraction. Notice also that even within this parenthetical expression, we must obey the order of operations.
3^2+6
For this, we must remember to evaluate the exponent first and then the addition.
Operation
Before Simplification
After Simplification
Calculate power
157.8-(3^2+6)* 3
157.8-( 9+6)* 3
Add terms
157.8-( 9+ 6)* 3
157.8- 15* 3
Multiply
157.8- 15* 3
157.8- 45
Subtract term
157.8- 45
112.8
Now we are ready to fully complete the boxes!
&157.8-(3^2+6)* 3 &=157.8-(9+6)* 3 &=157.8-15* 3 &=157.8-45 &=112.8
