22-23 Integers And More

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What is an integer?

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An integer is a whole number that can be positive, negative, or zero. Examples include -3, 0, and 5.

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How do you add two integers?

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To add two integers, combine their values. If both are positive, add normally. If both are negative, add their absolute values and keep the negative sign. If one is positive and one is negative, subtract the smaller absolute value from the larger and keep the sign of the integer with the larger absolute value.

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What is the absolute value of an integer?

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The absolute value of an integer is its distance from zero on the number line, regardless of direction. For example, the absolute value of -4 is 4, and the absolute value of 4 is also 4.

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How do you subtract integers?

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To subtract an integer, add its opposite. For example, to calculate 5 - 3, you can think of it as 5 + (-3).

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What is the order of operations in mathematics?

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The order of operations is a set of rules that dictates the sequence in which calculations are performed: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right). This is often remembered by the acronym PEMDAS.

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6

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20

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What does it mean to evaluate an expression?

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To evaluate an expression means to calculate its value by substituting any variables with their given values and performing the necessary operations.

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What is a variable in mathematics?

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A variable is a symbol, often a letter, that represents an unknown value in an expression or equation. For example, in the expression x + 2, x is the variable.

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How do you solve for a variable in an equation?

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To solve for a variable, isolate it on one side of the equation using inverse operations. For example, in the equation x + 5 = 10, subtract 5 from both sides to find x = 5.