Write an algebraic expression for the product of 33 and j
The Correct Answer and Explanation is :
To express the product of 33 and ( j ) algebraically, we write:
[ 33j ]
Explanation
In algebra, expressions are combinations of numbers, variables, and mathematical operations. Here, we have two components: the number 33 and the variable ( j ).
- Understanding Variables:
- In algebra, a variable is a symbol that represents an unknown value. It allows us to create general formulas and expressions that can apply to different situations. In this case, ( j ) is the variable.
- Multiplication in Algebra:
- The term “product” refers to the result of multiplying two numbers or expressions. When we say “the product of 33 and ( j )”, we are instructing to multiply these two elements together. In algebra, the multiplication of a number and a variable can simply be written as the number followed by the variable, as in ( 33j ).
- Properties of Multiplication:
- The expression ( 33j ) follows the commutative property of multiplication, which states that the order in which two numbers are multiplied does not affect the product. Therefore, ( 33j ) is equivalent to ( j \times 33 ).
- Evaluating the Expression:
- If ( j ) is given a specific value, you can evaluate ( 33j ) by substituting ( j ) with that value. For example, if ( j = 2 ), then ( 33j = 33 \times 2 = 66 ).
- Real-World Applications:
- This type of expression can represent various real-world situations, such as calculating total costs, distances, or quantities based on a variable input. For example, if ( j ) represents the number of hours worked at a rate of $33 per hour, ( 33j ) would represent the total earnings.
In summary, ( 33j ) is a straightforward algebraic expression representing the product of the constant 33 and the variable ( j ). Understanding how to create and manipulate such expressions is foundational to algebra and its applications in various fields.