For the given expression, this means evaluating the expressions inside the parentheses completely before performing other operations.
7* 8-4(6-2)+18
Let's do it!
Operation
Before Simplification
After Simplification
Subtract term
7* 8-4( 6- 2)+18
7* 8-4( 4)+18
Multiply
7* 8- 4( 4)+18
56- 16+18
Add terms
56+( - 16)+ 18
58
The expression is equal to 58.
Alternative Solution
Using a Calculator
We can also evaluate this expression using a calculator. To do so, we type it as shown below.
Whenever using a calculator for a complicated expression such as this, be very careful when placing the parentheses. A calculator will only do what it is told to do, not what you meant for it do.
According to the order of operations, expressions inside parentheses are evaluated first, followed by exponents, then multiplication and division, and finally addition and subtraction are evaluated last. We can use the acronym PEMDAS to help us remember the correct order!
For the given expression, this means evaluating the expression in the parentheses before performing other operations.
6^2-(8* 3)+2^2(7* 3)
Let's do it!
Operation
Before Simplification
After Simplification
Multiply
6^2-( 8* 3)+2^2( 7* 3)
6^2-( 24)+2^2( 21)
Calculate power
6^2-(24)+2^2(21)
36-(24)+ 4(21)
Multiply
36-(24)+ 4( 21)
36-(24)+ 84
Add terms
36+( - 24)+ 84
96
The expression is equal to 96.
Alternative Solution
Using a Calculator
We can also evaluate this expression using a calculator. To do so, we type it as shown below.
Whenever using a calculator for a complicated expression such as this, be very careful when placing the parentheses. A calculator will only do what it is told to do, not what you meant for it do.
According to the order of operations, expressions inside parentheses are evaluated first, followed by exponents, then multiplication and division, and finally addition and subtraction are evaluated last. We can use the acronym PEMDAS to help us remember the correct order!
For the given expression, this means evaluating the expression inside the parentheses completely before performing other operations.
14/2-3(8-6)+7^2
Let's do it!
Operation
Before Simplification
After Simplification
Subtract term
14/2-3( 8- 6)+7^2
14/2-3( 2)+7^2
Calculate power
14/2-3(2)+7^2
14/2-3(2)+ 49
Multiply
14/2- 3( 2)+49
14/2- 6+49
Divide
14/2-6+49
7-6+49
Add terms
7+( - 6)+ 49
50
The expression is equal to 50.
Alternative Solution
Using a Calculator
We can also evaluate this expression using a calculator. To do so, we type it as shown below.
Whenever using a calculator for a complicated expression such as this, be very careful when placing the parentheses. A calculator will only do what it is told to do, not what you meant for it do.
According to the order of operations, expressions inside parentheses are evaluated first, followed by exponents, then multiplication and division, and finally addition and subtraction are evaluated last. We can use the acronym PEMDAS to help us remember the correct order!
For the given expression, this means evaluating the expression inside the parentheses completely before performing other operations.
- 9-3(7- 2)+24/3
Let's do it!
Operation
Before Simplification
After Simplification
Subtract term
- 9-3( 7- 2)+24/3
- 9-3( 5)+24/3
Multiply
- 9- 3( 5)+24/3
- 9- 15+24/3
Divide
- 9-15+24/3
- 9-15+ 8
Add terms
- 9+( - 15)+ 8
- 16
The expression is equal to - 16.
Alternative Solution
Using a Calculator
We can also evaluate this expression using a calculator. To do so, we type it as shown below.
Whenever using a calculator for a complicated expression such as this, be very careful when placing the parentheses. A calculator will only do what it is told to do, not what you meant for it do.
