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Numerical Expression Definition of Numerical Expression The term “numerical” means “involving numbers” and the term “expression” means “phrase”. A numerical expression is a mathematical phrase involving only numbers and one or more operational symbols. Examples of Numerical Expression: The following are some examples of numerical expressions. 4 + 20 – 7, (2 + 3) – 7, (6 × 2) ÷ 20, 5 ÷ (20 × 3), 5 × (42 + 3) More about Numerical Expression: A numerical expression represents a particular number. For example, the numerical expression 4 + 20 - 7 in the example above simplifies to the number 17. Students should fold a sheet of paper into 4ths. Make 4 boxes on the front. Label each. Have the kids brainstorm different terms for each when seeing the example shown (I have listed a few) Add as many as necessary + 4 + 10 four plus ten ten added to four The sum of four and ten 9-5 Nine minus five Take five away from nine The difference between nine and five x ÷ 70(4) Seventy times four Multiply seventy by four The product of seventy and four 18÷ 3 Eighteen divided by three Eighteen split into three groups The quotient of eighteen and three On back write exponents. 42 23 164 four squared Four to the second power Four to the second Four raised to the second Four raised to the second power two cubed two to the third power two to the third two raised to the third two raised to the third power Sixteen to the fourth Sixteen to the fourth power Sixteen raised to the fourth power Algebraic expression Contain at least 1 variable and 1 operations When it says “a number” you can choose what letter to represent the number. The letters that represent a number are called variables. These are written in lower case. If you see 3x, it means 3 times a number. The 3 is a constant. It doesn’t change. 3*x, 3(x), and 3 x also mean 3 times x. We will be using x as a variable and not a multiplication sign when we are working on algebraic expression or solving equations.