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GRE Questions Arithmetic
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16 Jul 2018, 18:07
16 Jul 2018, 18:07
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GRE Questions Arithmetic
Arithmetic is the fundamental building block of math. You’ll certainly need to know your arithmetic to power through algebra, geometry, and data analysis problems, but the Math section also includes some pure arithmetic questions as well. In this post you will find some useful definitions and formulas needed to tackle GRE questions on Arithmatic.
Types of Numbers
Natural Number:
These are basic counting numbers such as 1, 2, 3 ....
Whole Numbers:
This is same as natural numbers but also includes 0, i,e 0, 1, 2, 3 .....
Integers:
Any counting number including negative numbers (e.g. -3, -1, 2, 7…but not 2.5)
Real Numbers:
Numbers that appear on the number line (i.e., one that is not imaginary) including pi, the square root of 2, 3, 5 and so on. A positive number is greater than 0, a negative number is less than 0.
Try Arithmetic Problems .... Click Here
Now we take a closer look at expressions which form the basis of GRE questions on arithmetic.
How to handle long expressions?
Complete any arithmetical operation in the following order:
1. Parentheses
2. Exponents
3. Multiplication/Division
4. Addition/Subtraction
For example:
\(2+\frac{9}{3}(5-1)^2\)
\(=2+\frac{9}{3}(4)^2\)
\(=2+\frac{9}{3}16\)
\(=2+3\times 16\)
\(=2+48=50\)
Try Arithmetic Problems .... Click Here
Commutative, Associative, and Distributive Properties
The Commutative Property:
\(a+b=b+a\)
\(a \times b = b \times a\)
The Associative Property:
\(a+(b+c)=(a+b)+c\)
\(a \times (b \times c )= (a \times b) \times c\)
The Distributive Property:
\(a \times (b+c)= ab+ac\) or \(a \times (b-c)= ab-ac\)
The Commutative and Associate properties do not work with subtraction or division.
Try Arithmetic Problems .... Click Here
Apart from standard \(+\), \(-\), \(\times\), \(\div\) you would find some other operators in arithmatic
Inequality Operators
| Symbol | Name | Meaning |
| \(<\) | Less than | The quantity to the left of the symbol is less than the quantity to the right. |
| \(>\) | Greater than | The quantity to the left of the symbol is greater than the quantity to the right. |
| \(\leq\) | Less than or equal to | The quantity to the left of the symbol is less than or equal to the quantity to the right. |
| \(\geq\) | Greater than or equal to | The quantity to the left of the symbol is greater than or equal to the quantity to the right |
| \(\sqrt{X}\) | Square root | A number which when multiplied by itself equals the value under the square root symbol. |
| \(|X|\) | Absolute value | The positive distance a number enclosed between two vertical bars is from 0. |
| \(!\) | Factorial | The product of all the numbers up to and including a given number. |
Positive and Negative numbers multiplication and division rule
Positive and negative numbers act differently when you add, subtract, multiply, or divide them. Adding a negative number is the same as subtracting a positive number:
\(5 + (-3) = 2\), just as \(5 - 3 = 2\)
Subtracting a negative number is the same as adding a positive number:
\(7 - (-2) = 9\), just as \(7 + 2 = 9\)
To determine the sign of a number that results from multiplication or division of positive and negative numbers, memorize the following rules.
| Multiplication | Division |
| \(positive \times positive =positive\) | \(positive \div positive =positive\) |
| \(positive \times negative =negative\) | \(positive \div negative =negative\) |
| \(negative \times negative =positive\) | \(negative \div negative =positive\) |
Try Arithmetic Problems .... Click Here
gmatclubot
GRE Questions Arithmetic [#permalink]
16 Jul 2018, 18:07
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