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1) Basic operations on numbers


2) 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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