This is part of our
GRE Math Essentials - A most comprehensive handout!!! is the best complement to our
GRE Math Book. It provides a cutting-edge, in-depth overview of all the math concepts from basic to mid-upper levels. The book still remains our hallmark: from basic to the most advanced GRE math concepts tested during the exam. Moreover, the following chapters will give you many tips, tricks, and shortcuts to make your quant preparation more robust and solid.
1) Basic operations on numbers2) Distance on a Number LineThe distance between any two real numbers a and b on a number line can be calculated using the formula \(d = |b − a|\).
KEY TAKEAWAYS
• A positive number added to a positive number is positive. A negative number added to a negative number is negative.
• The sign of a positive number added to a negative number is the same as the sign of the number with the greatest distance from the origin.
• Addition is commutative, and subtraction is not.
• When simplifying, it is a best practice first to replace sequential operations and then work the operations of addition and subtraction from left to right.
• The distance between any two numbers on a number line is the absolute value of their difference. In other words, given any real numbers a and b , use the formula \(d = |b − a|\) to calculate the distance d between them.
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