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Chapter 2: Problem 6

Translate from algebraic notation to words. \(45 \div 5\)

Short Answer

Expert verified
45 divided by 5

Step by step solution

01

- Identify the Operation

The given algebraic notation includes the operation of division represented by the symbol \(\frac{a}{b}\) or \( \div \).
02

- Identify the Numbers

In the expression \(45 \div 5\), identify the numbers as 45 and 5.
03

- Translate to Words

Combine the identified operation and numbers into a phrase. For \(45 \div 5\), this translates to '45 divided by 5'.

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Key Concepts

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

Algebraic Notation
Algebraic notation is a system of symbols used to represent numbers and operations in mathematics. It allows complex ideas to be communicated succinctly. For example, instead of writing out 'add four and five', we can simply write '4 + 5'.
In the given exercise, algebraic notation is used to represent a division operation: \(45 \div 5\). This notation makes it clear and concise what mathematical operation needs to be performed.
Division Operation
The division operation is one of the basic arithmetic operations. It is the process of determining how many times one number is contained within another. We use symbols like \(\div\) or \(\frac{a}{b}\) to denote division.
In the exercise's example, 45 is being divided by 5. This means we want to find out how many groups of 5 can be made from 45. The solution indicates clearly that the operation involved is division, helping us translate it into words.
Breaking down a division expression follows a series of systematic steps: identifying the operation, the numbers involved, and then wording it correctly.
Mathematical Translation
Mathematical translation involves converting symbols and numbers into written or spoken language. This skill is essential for verifying that the mathematical expressions are understood correctly and can be communicated effectively.
The provided task requires translating the notation \(45 \div 5\) into words. Following the correct steps:
  • Identify the operation: Division, represented by \( \div \).
  • Identify the numbers: 45 and 5.
  • Combine these elements into a sentence: '45 divided by 5'.

This method ensures the meaning is conveyed clearly and can be easily understood by anyone.

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Most popular questions from this chapter

In the following exercises, translate the given sentence into an algebraic equation. Twice the difference of n and 10 gives 52.

Sale purchase Arthur bought a suit that was on sale for \(\$ 120\) off. He paid \(\$ 340\) for the suit. Find the original price, \(p,\) of the suit by solving the equation \(p-120=340\)

In the following exercises, find the prime factorization of each number. $$ 350 $$

In the following exercises, translate from an algebraic equation to English phrases. $$ 6 \cdot 4 $$

In the following exercises, simplify, using the order of operations. $$ 4+3 \cdot 5 $$
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