For the given expression, this means evaluating the expressions inside the parentheses completely before performing other operations.
3(8-4)+4^2-(2+3)
Let's do it!
Operation
Before Simplification
After Simplification
Add terms
3(8-4)+4^2-( 2+ 3)
3(8-4)+4^2- 5
Subtract term
3( 8- 4)+4^2-5
3( 4)+4^2-5
Calculate power
3(4)+4^2-5
3(4)+ 16-5
Multiply
3( 4)+16-5
12+16-5
Add terms
12+ 16-5
28-5
Subtract term
28- 5
23
The expression is equal to 23.
Alternative Solution
Using a Calculator
We can also evaluate this expression using a calculator. To do so, we type it as shown below.
Error creating thumbnail: Unable to save thumbnail to destination
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 calculating the power before performing other operations.
7* 4-3* 8+2^2-6
Let's do it!
Operation
Before Simplification
After Simplification
Calculate power
7* 4-3* 8+2^2-6
7* 4-3* 8+ 4-6
Multiply
7* 4- 3* 8+4-6
28- 24+4-6
Add terms
28- 24+ 4-6
28- 28-6
Subtract terms
28- 28- 6
- 6
The expression is equal to - 6.
Alternative Solution
Using a Calculator
We can also evaluate this expression using a calculator. To do so, we type it as shown below.
Error creating thumbnail: Unable to save thumbnail to destination
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 addition and subtraction.
7-(- 3)+(- 4+3)
Let's do it!
Operation
Before Simplification
After Simplification
Add terms
7-(- 3)+( - 4+ 3)
7-(- 3)+( - 1)
Add terms
7-( - 3)+( -1)
7-( - 4)
Subtract term
7-( - 4)
11
The expression is equal to 11.
Alternative Solution
Using a Calculator
We can also evaluate this expression using a calculator. To do so, we type it as shown below.
Error creating thumbnail: Unable to save thumbnail to destination
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 calculating the power.
- 6-4(3* 2)+5^2
Let's do it!
Operation
Before Simplification
After Simplification
Multiply
- 6-4( 3* 2)+5^2
- 6-4( 6)+5^2
Calculate power
- 6-4(6)+5^2
- 6-4(6)+ 25
Multiply
- 6- 4( 6)+25
- 6- 24+25
Add terms
- 6- 24+ 25
- 6+ 1
Add terms
- 6+ 1
- 5
The expression is equal to - 5.
Alternative Solution
Using a Calculator
We can also evaluate this expression using a calculator. To do so, we type it as shown below.
Error creating thumbnail: Unable to save thumbnail to destination
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.
