SAT Math : How to find order of operations
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Example Questions
Example Question #51 : Arithmetic
Solve:
In PEMDAS, we apply parentheses first, followed by multiplication and finally subtraction and addition from left to right.
Therefore,
Example Question #52 : Arithmetic
Solve:
In PEMDAS, parentheses from left to right, followed by exponents, multiplication from left to right, and finally addition.
Therefore,
Example Question #53 : Order Of Operations
Solve:
In PEMDAS, parentheses is applied with multiplication first followed by subtraction and finally do the exponents and addition.
Therefore,
Example Question #54 : Order Of Operations
Solve:
In PEMDAS, the exponent is applied first, followed by parentheses, then multiplication and lastly addition.
Therefore,
Example Question #55 : Order Of Operations
If 
Example Question #51 : How To Find Order Of Operations
If 
Example Question #931 : Sat Mathematics
Consider the expression
If the values of all of the variables are known, which operation is carried out third?
Subtraction
Squaring
Addition
Multiplication
Division
Multiplication
The order of operations dictates that any operations within grouping symbols, such as parentheses, be carried out first; in this expression, this is the addition.
This leaves a multiplication, a division, an exponentiation (squaring), and a subtraction. The squaring takes precedence over the others, so it is carried out second. Multiplication and division take precedence over subtraction; since the multiplication is first in left-to-right order, it is carried out third. This makes multiplication the correct response.
Example Question #931 : Sat Mathematics
Consider the expression
If the values of all of the variables are known, which operation is carried out third?
Addition
Division
Multiplication
Squaring
Subtraction
Division
The order of operations dictates that any operations within grouping symbols is carried out first, going from the innermost symbols to the outermost symbols. The innermost symbols - the parentheses - flank an addition, so that operation is carried out first.
The operations between the outermost symbols - the brackets - are carried out next. There is an exponentiation (squaring), a division, and a subtraction there; by order of operations, the squaring is carried out next, and the division after that. Division is therefore the correct response.
Example Question #51 : Order Of Operations
Consider the expression
If the values of all of the variables are known, which operation is carried out third?
Multiplication
Division
Subtraction
Squaring
Addition
Multiplication
The order of operations dictates that any operations within grouping symbols, such as parentheses, be carried out first; in this expression. There are two expressions - an exponentiation (squaring) and an addition - that fall between the parentheses; by the order of operations, the squaring is carried out, then the addition.
This leaves a multiplication, a division, and a subtraction. Multiplication and division have precedence over subtraction; since the multiplication appears first in left-to-right order, the multiplication is carried out next. This makes multiplication the correct response.
Example Question #942 : Sat Mathematics
Consider the expression
If the values of all of the variables are known, which operation is carried out third?
Multiplication
Addition
Subtraction
Division
Squaring
Division
The order of operations dictates that the exponentiation (squaring) be carried out first. The multiplication and the division come next, in left-to-right order; since the multiplication appears to the left, this is worked first, followed by the division. Division is the correct response.
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