Arithmetic Expressions

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An arithmetic expression is a mathematical phrase that contains numbers and operations like addition, subtraction, multiplication, and division. Examples: 13+2, 20-4, 12×5, 18÷3. Every arithmetic expr

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The equality sign '=' shows the relationship between an arithmetic expression and its value. For example: 13+2=15 means the expression 13+2 has the value 15.

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We compare expressions based on their values using '=', '<', and '>' signs. For example: 10+2 > 7+1 because the value of 10+2 is 12, which is greater than the value of 7+1, which is 8.

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Brackets clarify the order of operations in expressions. When evaluating expressions with brackets, we first find the values inside the brackets before performing other operations. Example: 30+(5×4) =

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Terms are the parts of an expression separated by a '+' sign. For example, in the expression 12+7, the terms are 12 and 7. All subtractions are converted to additions to identify terms (e.g., 83-14 be

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We convert subtraction to addition: 83-14 = 83+(-14). The terms are 83 and -14. Subtracting a number is the same as adding its inverse (opposite sign).

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The commutative property of addition means that swapping (changing the order of) terms in an expression does not change its value. For example: 5+3 = 3+5 = 8. This works for expressions with negative

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The associative property of addition means that grouping terms in different ways does not change the value. For example: (2+3)+4 = 2+(3+4) = 9. We can group any two terms first, then add the third.