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Chapter 2: Problem 117

Translate to symbols: Subtract \(x\) from 45

Short Answer

Expert verified
The phrase translates to the mathematical expression \(45 - x\).

Step by step solution

01

Understanding the Phrase

We need to translate the English phrase 'subtract \(x\) from 45' into a mathematical expression.
02

Identifying the Operation

Subtraction is the operation indicated by the word 'subtract'. In this case, \(x\) is the number being subtracted from 45.
03

Translating the Phrase

In mathematics, the phrase 'subtract \(x\) from 45' translates to the expression \(45 - x\).
04

Structuring the Expression

The order is important here. 'From' indicates that \(x\) is taken away from 45, so we write \(45 - x\) and not \(x - 45\).

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Key Concepts

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

Subtraction
Subtraction is one of the fundamental arithmetic operations. It involves finding the difference between two numbers. In simple terms, subtraction tells us what remains when we take away one number from another.
For example, if we have 10 apples and we give away 3, the operation is represented as 10 - 3 = 7.
This illustrates that subtraction helps us see how much is left after removing some quantity from the whole.
  • The number we subtract from is called the "minuend". In the example, 10 is the minuend.
  • The number we subtract is known as the "subtrahend". Here, 3 is the subtrahend.
  • The result is called the "difference". The difference in our example is 7.
When "subtracting x from 45", 45 is the minuend, while x is the subtrahend. The difference is what remains after x is taken from 45. Hence, subtraction helps us calculate what's left or what's decreased.
Translating Words into Math
Translating verbal expressions into mathematical ones is a key skill in understanding algebra. It involves turning phrases into symbolic mathematical expressions. Words like 'sum', 'difference', 'product', and 'quotient' hold specific meanings in math.
For example, the word 'subtract' tells us we are dealing with subtraction. The key phrase "subtract x from 45" can be tricky.
  • 'Subtract' indicates the operation of subtraction.
  • 'From' shows that the following number, 45, comes first. It informs the setup of the equation: 45 - x.
Understanding these keywords is crucial, as misinterpreting them can lead to incorrect expressions. With practice, you'll find translating words into math becomes easier.
Order of Operations
The order of operations is an important part of solving mathematical problems correctly. It dictates the sequence in which operations should be performed to ensure a correct outcome.
The common acronym used to remember the order is PEMDAS:
  • P: Parentheses 鈥� solve expressions inside parentheses first.
  • E: Exponents 鈥� next, calculate the exponents (powers and roots).
  • M/D: Multiplication and Division 鈥� perform these left to right.
  • A/S: Addition and Subtraction 鈥� perform these last, also left to right.
In our example "45 - x", subtraction is the only operation, so no specific order is needed beyond ensuring x is correctly positioned as subtracted from 45. However, understanding PEMDAS is crucial, especially when solving more complex expressions where multiple operations may be involved.

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Most popular questions from this chapter

Geometry. The perimeter of an equilateral triangle is at most 57 feet. What could the length of a side be? (Hint: All three sides of an equilateral triangle are equal.)

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