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Chapter 1: Problem 187

In the following exercises, translate and simplify. Subtract 6 from 9

Short Answer

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3

Step by step solution

01

Translate the problem

The problem asks to subtract 6 from 9. In mathematical terms, this can be written as: 9 - 6
02

Perform the subtraction

Subtract 6 from 9. 9 - 6 = 3

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Key Concepts

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

mathematical translation
In mathematics, translation refers to converting a word problem or real-world situation into a mathematical equation or expression. This process helps in understanding what the problem is asking and how to solve it.
In our exercise, the problem asks us to 'subtract 6 from 9'. To translate this into a mathematical expression, we start by identifying the numbers and the operation.
  • '6' and '9' are the numbers.
  • 'Subtract' is the operation.
So, we write this as:
\(9 - 6\).
Translation is crucial because it simplifies complex word problems into manageable mathematical expressions.
arithmetic operations
Arithmetic operations are the basic operations performed in math involving numbers. These include addition, subtraction, multiplication, and division. In this exercise, we focus on subtraction.
Subtraction is the operation of finding the difference between two numbers. In symbols, it is represented by the minus sign (\(-\)).
To perform subtraction, you take one number (the minuend), and take away another number (the subtrahend).
In our exercise:
  • The minuend is '9'.
  • The subtrahend is '6'.

So we calculate:
\(9 - 6\).
The result of this operation gives us '3'. Understanding arithmetic operations is fundamental in solving mathematical problems efficiently.
problem-solving steps
Problem-solving involves a series of steps to find a solution systematically. For our exercise, let's break down the steps:
  • Step 1: Translate the problem - Convert the words into a mathematical expression: 'subtract 6 from 9' becomes \(9 - 6\).
  • Step 2: Perform the subtraction - Apply the subtraction operation to the numbers identified in the first step: \(9 - 6\). Count down 6 units from 9, which results in '3'.
By following these steps, you ensure that you understand the problem and apply the correct arithmetic operation accurately.
This systematic method helps in tackling even more complex problems efficiently.

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