GMAT Math : Understanding real numbers
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Example Questions
Example Question #2 : Real Numbers
If 
For the expression to be defined, the denominator needs to be different from 0. Therefore:
So the correct answer is 2.
Example Question #1961 : Problem Solving Questions
If 
None of the other answers.
None of the other answers.
To show the other answers aren't always true, we need to choose 2 numbers that satisfy the given inequalities but also contradict each answer one-by-one.
Let 
Now Let 
Example Question #11 : Understanding Real Numbers
Which of the following is equal to the sum of thirty-three one-thousandths and three hundred three ten-thousandths?
Three hundred sixty-six ten-thousandths
Six hundred three ten-thousandths
Six hundred six ten-thousandths
Three hundred thirty-six ten-thousandths
Six hundred thirty-three ten-thousandths
Six hundred thirty-three ten-thousandths
The one-thousandths and ten-thousandths places are the third places and the fourth places, respectively, to the right of the decimal point. Therefore:
Thirty-three one-thousandths =
Three hundred three ten-thousandths =
Add:
The last nonzero digit ends at the ten-thousandths place, so this is 
six hundred thirty-three ten-thousandths.
Example Question #12 : Understanding Real Numbers
Which of the following is equal to 0.0407?
Forty-seven ten-thousandths
Four hundred seven one-thousandths
Four hundred seven ten-thousandths
Four hundred seventy ten-thousandths
Four hundred seventy one-thousandths
Four hundred seven ten-thousandths
The last nonzero digit is located in the fourth place right of the decimal point - the ten-thousandths place. Put the number, without decimal point or leading zeroes, over 10,000. This number is 
Example Question #13 : Understanding Real Numbers
Which of the following is equal to three one-hundredths subtracted from one fourth?
Twenty-two one-hundredths
Forty-seven one-hundredths
Five one-hundredths
Thirty-seven one-hundredths
Twenty-three one-hundredths
Twenty-two one-hundredths
The one-hundredths place is the second place to the right of the decimal point; therefore, three one-hundredths is equal to 0.03. One fourth can be converted to decimal form as follows:
which is twenty-five one-hundredths, or 0.25. Subtract:
or twenty-two one-hundredths.
Example Question #15 : Understanding Real Numbers
Order 
We can find each in terms of 
In ascending order, the numbers are:
The correct choice is 
Example Question #14 : Understanding Real Numbers
Add one fourth to one seventh. Subtract this sum from one. What is the result?
Thirteen elevenths
Seventeen twenty-eighths
Nine elevenths
Thirty-nine twenty-eighths
Twenty-five twenty-eighths
Seventeen twenty-eighths
The expression is equal to 
or seventeen twenty-eighths.
Example Question #421 : Arithmetic
We demonstrate that 
Example Question #14 : Understanding Real Numbers
When evaluating the expression
which of the following operations should be performed third?
The rightmost subtraction
The leftmost subtraction
The leftmost multiplication
The rightmost multiplication
The middle subtraction
The leftmost subtraction
In the absence of grouping symbols, all multiplications are performed before any of the subtractions. Therefore, the first two operations performed are the multiplications. The three remaining operations, all subtractions, are performed right to left, so the next operation - the third one - to be performed is the leftmost subtraction.
Example Question #15 : Understanding Real Numbers
When evaluating the expression
which of the following operations should be performed third?
The middle subtraction
The leftmost subtraction
The rightmost addition
The leftmost addition
The rightmost subtraction
The middle subtraction
In the absence of grouping symbols, additions and subtractions are performed with precedence moving from left to right. Therefore, the five operations, each an addition or a subtraction, are performed right to left, and the third operation performed is the middle subtraction.
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