GMAT Math : Arithmetic
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Example Questions
Example Question #1982 : Problem Solving Questions
Each of 
Which of the following diagrams demonstrates the transitive property?
If 
If 
If
According to the transitive property of equality, if two numbers are equal to the same third number, they are equal to each other. This is demonstrated by this diagram:
If 
Example Question #1983 : Problem Solving Questions
Each of 
Which of the following diagrams demonstrates the symmetric property?
If
If 
If
According to the symmetric property of equality, if one number is equal to another, the second is equal to the first. This is demonstrated by the diagram
If 
Example Question #1984 : Problem Solving Questions
Each of 
Which of the following diagrams demonstrates an identity property?
If
If 
0 is called the additive identity, since it can be added to any number to yield, as a sum, the latter number. This property is demonstrated in the diagram
Example Question #30 : Real Numbers
Which of the following is equivalent to
for all values of the variables?
If 
Substituting,
Example Question #431 : Arithmetic
Which of the following is equivalent to
for all values of the variables?
If 
It follows by way of the commutative and associative properties that
Example Question #31 : Understanding Real Numbers
for all values of the variables?
If 
By way of the distributive property and substitution,
Example Question #1982 : Problem Solving Questions
for all values of the variables?
If 
or, equivalently,
By way of substitution and the distributive property,
Example Question #34 : Real Numbers
Which of the following is equivalent to
for all values of the variables?
If 
By way of the commutative and associative properties, substitution, and the identity property of multiplication:
Example Question #431 : Arithmetic
When evaluating each of the following expressions, which one(s) require you to multiply first?
I)
II)
III)
III only
I and III only
II and III only
I and II only
I only
I and III only
According to the order of operations, any operations within parentheses must be performed first. In expression (II), this is the addition; in expression (III), this is the multiplication.
Expression (I) does not have any parentheses, so, by the order of operations, in the absence of grouping symbols, multiplication precedes addition.
Therefore, the correct response is I and III only.
Example Question #36 : Real Numbers
for all values of the variables?
By the distributive property,
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