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Chapter 2: Problem 4

Translate from algebraic notation to words. 3\(\cdot 9\)

Short Answer

Expert verified
Three multiplied by nine.

Step by step solution

01

Identify the Numbers

Determine the two numbers involved in the algebraic notation. In this case, the numbers are 3 and 9.
02

Identify the Operation

Identify the mathematical operation represented by the symbol. The \(\backslash cdot\) symbol represents multiplication.
03

Translate to Words

Combine the two numbers with the identified operation in word form. Here, 3 multiplied by 9.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Multiplication
Multiplication is one of the four basic mathematical operations. It involves combining equal groups to find the total number of items. In the context of algebraic notation, multiplication is usually represented by symbols like \(\backslash cdot\), x, or even simply placing numbers side by side. For instance, 3 \(\backslash cdot\) 9 means that you have three groups of nine items each. Understanding this helps in interpreting algebraic expressions correctly. Multiplication is commutative, meaning 3 \(\backslash cdot\) 9 is the same as 9 \(\backslash cdot\) 3. This property makes calculations more flexible.
Mathematical Operations
Mathematical operations are procedures or actions that can be performed on numbers. The basic operations include addition, subtraction, multiplication, and division. Each operation has its own symbol:
  • Addition: \( + \)
  • Subtraction: \( - \)
  • Multiplication: \( \cdot \) or \( x \)
  • Division: \( \backslash \div \)
Recognizing these symbols and understanding what they represent is crucial. In our example, the \( \cdot \) symbol stands for multiplication, telling us that we need to multiply the numbers around it.
Number Identification
Number identification is the initial step in solving any algebraic expression. It involves recognizing and isolating the numbers involved in the expression. This is crucial because these numbers are the building blocks of the operation. In algebraic notation like 3 \( \cdot \) 9, the numbers 3 and 9 need to be identified first. By pinpointing these numbers, you can then understand what operation they are involved in, leading you to the solution. This helps in breaking down the problem into manageable parts, making it easier to solve.

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Most popular questions from this chapter

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